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△_(h)-GOULD-HOPPER APPELL POLYNOMIALS

Acta Mathematica Scientia 2021年第4期41卷 1196-1222页

作者： mehmet Ali ÖZARSLAN Banu YILMAZ YASAR Department of Mathematics Eastern Mediterranean UniversityFamagustaNorth Cyprus via Mersin 10Turkey

In this paper,we introduce the △_(h)-Gould-Hopper Appell polynomials An(x,y;h)via h-Gould-Hopper polynomials G_(n)^(h)(x,y).These polynomials reduces to △_(h)-Appell polynomials in the case y=0,△-Appell polynomials in the case y=0 and h=2D-Appell polynomials in the case h→0,2D △-Appell polynomials in the case h=1 and Appell polynomials in the case h→0 and y=*** obtain some well known main properties and an explicit form,determinant representation,recurrence relation,shift operators,difference equation,integro-difFerence equation and partial difference equation satisfied by *** satisfied by △_(h)-Gould-Hopper Appell polynomials reduce to determinant of all subclass of the usual ***,shift operators and difference equation satisfied by these polynomials reduce to recurrence,shift operators and difference equation of △_(h)-Appell polynomials,△-Appell polynomials;recurrence,shift operators,differential and integro-differential equation of 2D-Appell polynomials,recurrence,shift operators,integrodifference equation of 2D △-Appell polynomials,recurrence,shift operators,differential equation of Appell polynomials in the corresponding *** the special cases of the determining functions,we present the explicit forms,determinants,recurrences,difference equations satisfied by the degenerate Gould-Hopper Carlitz Bernoulli polynomials,degenerate Gould-Hopper Carlitz Euler polynomials,degenerate Gould-Hopper Genocchi polynomials,△_(h)-Gould-Hopper Boole polynomials and △_(h)-Gould-Hopper Bernoulli polynomials of the second *** particular cases of the degenerate Gould-Hopper Carlitz Bernoulli polynomials,degenerate Gould-Hopper Genocchi polynomials,△_(h)-Gould-Hopper Boole polynomials and △_(h)-Gould-Hopper Bernoulli polynomials of the second kind,corresponding determinants,recurrences,shift operators and difference equations reduce to all subclass of degenerate so-called families except for Genocchi polynomials recurrence,shift operators,an

关键词： △_(h)-Appell polynomials determinant recurrence difference equation

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New Wave Solutions of Time-Fractional Coupled Boussinesq–Whitham–Broer–Kaup Equation as A Model of Water Waves

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China Ocean Engineering 2019年第4期33卷 477-483页

作者： Emrah ATILGAN mehmet SENOL Ali KURT Orkun TASBOZAN Department of Management Informatics Systems Mustafa Kemal University Hatay Turkey Department of Mathematics Nevsehir Haci Bektas Veli University Nevsehir Turkey Department of Mathematics Pamukkale University Denizli Turkey Department of Mathematics Mustafa Kemal University Hatay Turkey

The main purpose of this paper is to obtain the wave solutions of conformable time fractional Boussinesq–Whitham–Broer–Kaup equation arising as a model of shallow water waves. For this aim, the authors employed auxiliary equation method which is based on a nonlinear ordinary differential equation. By using conformable wave transform and chain rule, a nonlinear fractional partial differential equation is converted to a nonlinear ordinary differential equation. This is a significant impact because neither Caputo definition nor Riemann–Liouville definition satisfies the chain rule. While the exact solutions of the fractional partial derivatives cannot be obtained due to the existing drawbacks of Caputo or Riemann–Liouville definitions, the reliable solutions can be achieved for the equations defined by conformable fractional derivatives.

关键词： time fractional coupled Boussinesq–Whitham–Broer–Kaup equation conformable fractional derivative auxiliary equation method

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Endoscopic scoring of late gastrointestinal mucosal damage after adjuvant radiochemotherapy

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World Journal of Gastroenterology 2006年第27期12卷 4411-4415页

作者： Resat Dabak Oya Uygur-Bayramicli Cengiz Gemici Dilek Yavuzer mehmet Sargin mehmet Yildirim Department of Family Medicine Kartal State HospitalKartalstanbulTurkey Department of Gastroenterology Kartal State HospitalKartalstanbulTurkey Department of Radiation Oncology Kartal State HospitalKartalstanbulTurkey Department of Pathology Kartal State HospitalKartalstanbulTurkey Department of General Surgery Kartal State HospitalKartalstanbulTurkey

AIM： To evaluate late effects of chemoradiation on gastrointestinal mucosa with an endoscopic scoring system and compare it to a clinical scoring system. METHODS： Twenty-four patients going to receive chemoradiation after gastric surgery underwent endoscopy four wk after surgery and one year after the chemoradiation finished. Upper gastrointestinal findings were recorded according to a system proposed by World Organisation for Digestive Endoscopy （OMED） and clinical scoring was done with RTOG-EORTC radiation morbidity scoring systems. RESULTS： There was no significant endoscopic difference in gastric and intestinal mucosa after chemoradiation （P 〉 0.05） and there was no association between endoscopic scores and clinical scores. Endoscopic changes were minimal. CONCLUSION： Late effects after chemoradiation in operated patients with gastric cancers can be evaluated with an endoscopic scoring system objectively and this system is superior to clinical scoring systems.

关键词： Radiochemotherapy Gastric cancer Endoscopy Gastrointestinal rnucositis

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Predictive value of pupillography on intraoperative floppy iris syndrome in preoperative period

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International Journal of Ophthalmology(English edition) 2021年第7期14卷 1018-1024页

作者： Gozde Sahin Vural mehmet Vural Department of Ophthalmology Balikesir University Medicine FacultyBalikesir 10100Turkey Department of Ophthalmology Balikesir Ataturk State HospitalBalikesir 10020Turkey

AIM: To present the frequency of intraoperative floppy iris syndrome(IFIS) in cataract patients who taking alpha 1-a receptor antagonist(ARA) drugs, and evaluate the predictive value of pupil diameter(PD) changes in IFIS ***: Male cataract patients who are under treatment with alpha-1 a-ARAs(alfuzosin, tamsulosin) intraoperatively were evaluated and were grouped as with/without IFIS. The preoperative PD values were compared with controls. Also, the intraoperative manipulations and early/late complications were ***: A total of 77 patients(77 eyes) of 94 benign prostate hyperplasia(BPH) patients have been defined as IFIS(81.91%) and 40 patients(40 eyes) were taking tamsulosin and 37 patients(37 eyes) were taking alfuzosin. During the cataract surgery, the rate of posterior capsular rupture(P=0.754), vitreous loss(P=0.585), iris tears(P=0.004), and iris catching(P=0.000) were higher in IFIS group, but the difference was significant only in the iris catching. At the postoperative first-month visit, persistent IOP rise and iris stromal tears were more frequent in IFIS group, but the difference was not significant(P=0.311, P=0.146;respectively). In contrast, Descemet membrane detachment was insignificantly more frequent in controls(P=0.311). In IFIS and control patients, PDs were 9.54±1.78 and 9.72±1.57 mm(P=0.255) under scotopic illumination, 8.54±1.43 and 8.74±1.25 mm(P=0.289) under mesopic illumination, 6.99±1.35 and 7.27±1.39 mm(P=0.662) under photopic illumination, respectively. However PDs were lower in IFIS under all illumination degrees, no significant difference was detected between ***: IFIS is a significant clinical syndrome with an increased intraoperative/postoperative complication ratio. The prediction of this syndrome is important because of prevention required precautions against possible complications. There is no association between IFIS and preoperative PD.

关键词： cataract intraoperative floppy iris syndrome pupillography alpha-1 adrenergic receptor antagonists

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Prediction of mine drainage generation potential and the prevention method of the groundwater pollution in the Gümüskoy(Kütahya)mineralization area,NW Turkey

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Journal of Mountain Science 2020年第10期17卷 2387-2404页

作者： Selcuk ALEMDAG Enver AKARYALI mehmet Ali GuCER Department of Geological Engineering Faculty of Engineering and Natural SciencesGumusşhane UniversityGumushane29100Turkey

One of the leading factors of seepage contamination is mine drainage,which creates serious ecological risks on the environment both during operation and post-mining *** this study,experimental processes have been carried out to determine the occurrence of mine drainage in the Gümüskoy(Kütahya)mineralization area(Northwest Turkey).The prevention method for potential mine drainage occurrence has been also *** enrichment was observed which are directly related to mineralization in trace element concentrations,especially in potentially toxic metals such as Ag,Cd,Mo,Ba,Bi,and *** on short-term tests,mine drainage formation has not been expected according to the p H(7.36-9.38),contact leaching,and acid-base accounting ***,in the long-term,acid generation potential has been expected because of weathering and oxidation in terms of rock type and mineralization in the ***,in order to prevent groundwater contamination in the event of a possible formation of mine drainage,the hydraulic conductivity of the stock area bedrock was evaluated by the in situ tests performed in the field and it was found to be moderately permeable(K=1.9×10^-6 m/s).In order to make the stock area bedrock impermeable,natural clay will be laid and compressed at the base of the stock *** the finite elements were modeled by seepage analysis,the seepage discharge to be formed on the base rock at a depth of 5 m was determined as 3.17×10^-19 m^3/*** the discharge value determined in the seepage analysis after modeling is very close to zero,contamination of possible ground and surface water will be prevented.

关键词： Ecological risks Environmental assessment Mine drainage Seepage analysis

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Anatomic and functional results of idiopathic macular epiretinal membrane surgery

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International Journal of Ophthalmology(English edition) 2020年第4期13卷 614-619页

作者： mehmet Ozgur Cubuk Erkan Unsal Department of Ophthalmology Istanbul Research and Education HospitalIstanbul 34025Turkey

AIM: To assess the impact of macular surgery on the functional and anatomic outcomes in patients with grade 2 epiretinal membrane(ERM), and the effect of internal limiting membrane(ILM) peeling on visual acuity and to analyze the long-term effect of pars plana vitrectomy(PPV) on intraocular pressure(IOP).METHODS: Pseudophakic eyes(62 eyes) diagnosed as idiopathic grade 2 ERM with at least 6 mo postoperative follow-up were included in this retrospective study. The fellow eye was nonvitrectomized. Patients were divided into two groups: group 1(29 eyes) treated with ERM and ILM peeling and group 2(33 eyes) with only ERM peeling. Preoperative and postoperative best corrected visual acuity(BCVA), slit-lamp, and a dilated fundus examination was performed. IOP was measured with Goldman applanation tonometer before, day 1 and first week and each visit after surgery. The incidence of significant IOP elevation was compared between vitrectomized eyes and nonvitrectomized fellow ***: Visual improvement was statistically significant and similar in both groups(P=0.008 in group 1, P=0.002 in group 2, P=0.09 inter-group). The amount of decrease in central macular thickness was statistically significant and similar in both groups(P=0.005 group 1, P=0.008 group 2, P=0.37 intergroup). At the final follow-up(14.1±9.6 mo) the incidence of significant IOP elevation was 4% in vitrectomized eyes(three eyes) and 3%(two eyes) in the nonvitrectomized fellow eyes(P=0.12). Four eyes(12.1%) had recurrent ERM after a mean follow-up of 8.6±1.1 mo in group 2, there was no recurrence in group 1(P=0.01).CONCLUSION: Recurrence of ERM may be decreased by ILM peeling during ERM surgery. However, it seems that ILM peeling do not affect the functional outcome and 23-gauge PPV alone do not have a significant effect on IOP.

关键词： epiretinal membrane internal limiting membrane peeling pars plana vitrectomy intraocular pressure

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Hydrogeochemistry and Water Quality Evaluation along the Flow Path in the Unconfined Aquifer of the Düzce Plain, North-western Turkey

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Acta Geologica Sinica(English Edition) 2010年第1期84卷 213-222页

作者： Nail üNSAL mehmet ELK Civil Engineering Department Gazi University Maltepe 06570 Ankara Turkey Department of Geol Eng. Faculty of Engineering Ankara University Tandgan 06100 Ankara Turkey

The Diizce Plain has a multi-aquifer system, which consists of a near surface unconfined aquifer, along with first and second deeper confined aquifers. Hydrochemical evolution and water quality are related to infiltration of the precipitation, recharge from the formations surrounding the plain, flow path of groundwater and the relationship between surface and groundwater. The groundwater in the unconfined aquifer flows towards the Efteni Lake and the Biiyiik Melen River. Surface waters are divided into two main hydrochemical facies in the study area：（a） Ca2＋-HCO3-; and （b） Ca2＋, Mg2＋-HCOc-, SO4^2-. The groundwater has generally three main hydrochemical facies：（a） Ca2＋-HCO3-; （b） Ca2＋, Mg2＋-HCO3-; and （c） Ca2＋, Mg2＋-HCO3-, Cl-. The hydrochemical facies ＂a＂ and ＂b＂ dominate within shallow depths in recharge areas under rapid flow conditions, while hydrochemical facies ＂c＂ characterizes shallow and mixed groundwater, which dominate intermediate or discharge areas （near Efteni Lake and Biiyiik Melen River） during low flow conditions and agricultural contamination. Calcium and bicarbonate ions, total hardness and electrical conductivity of total dissolved solids （EC-TDS） values increase along the groundwater flow path; but these parameters remain within the limits specified by the standards set for industrial and agricultural usages.

关键词： Duzce Plain groundwater flow path hydrochemical evaluation unconfined aquifer waterquality

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Comparison of brimonidine-timolol and dorzolamidetimolol in the management of intraocular pressure increase after phacoemulsification

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International Journal of Ophthalmology(English edition) 2015年第5期8卷 945-949页

作者： Adem Turk Osman Melih Ceylan Gokcen Gokce mehmet Borazan mehmet Kola Department of Ophthalmology Faculty of MedicineKaradeniz Technical University Department of Ophthalmology Medical Park Hospital Department of Ophthalmology Kayseri Military Hospital Department of Ophthalmology Faculty of MedicineMevlana University

AIM: To compare the effectiveness of brimonidine/timolol fixed combination(BTFC) and dorzolamide/timolol fixed combination(DTFC) in the management of short-term intraocular pressure(IOP) increase after phacoemulsification surgery.·METHODS: Eighty eyes of 80 patients undergoing phacoemulsification and intraocular lens(IOL)implantation were randomly assigned into three *** 1 consisted of 28 eyes and represented the control group. Group 2 consisted of 25 eyes undergoing phacoemulsification surgery and BTFC was instilled at the end of surgery. Group 3 consisted of 27 eyes undergoing phacoemulsification surgery and DTFC was instilled at the end of surgery. IOP was measured preoperatively and 6, 24 h and 1wk postoperatively.·RESULTS: There was no statistically significant difference in preoperative baseline IOP among the three groups(P =0.84). However, IOP was significantly lower in groups 2 and 3 compared to the control group(P 25 mm Hg at 6h after surgery(P =0.008). However, IOP decreased and was >25 mm Hg in only one eye in each group at24 h after surgery.·CONCLUSION: BTFC and DTFC have similar effects in reducing increases in IOP after phacoemulsificationsurgery and can both be recommended for preventing IOP spikes after such surgery.

关键词： cataract brimonidine dorzolamide timolol intraocular pressure phacoemulsification postoperative complication

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Hepatic osteodystrophy and liver cirrhosis

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World Journal of Gastroenterology 2010年第13期16卷 1639-1643页

作者： Vedat Goral mehmet Simsek Nuriye Mete Department of Gastroenterology Dicle University School of Medicine Department of Biochemistry Dicle University School of Medicine

AIM: To investigate the correlation between hepatic osteodystrophy and osteoporosis in patients with liver cirrhosis. METHODS: Bone mineral density of the patients (n = 55) and that of the control group (n = 30) were measured by dual-energy X-ray absorptiometry. All the women in the study were premenopausal. Deoxypyridinoline, pyridinoline and urinary Ca 2+ were measured as bone destruction markers, while alkaline phosphatase (ALP), osteocalcin and insulin-like growth factor-1 (IGF-1) were measured as bone formation markers. Furthermore, interleukin-1 (IL-1), IL-6, tumor necrosis factor α (TNF-α), vitamin D3, direct bilirubin, albumin, cortisol and parathyroid hormone (PTH) levels were measured. The independent Student t test and χ 2 test were employed in comparing both groups, and the Pearson correlation test was used to determine associations. RESULTS: Comparing cirrhosis and control groups, lumbar total T-score (-1.6 ± 1.2 g/cm 2 vs -0.25 ± 1.3 g/cm 2 , P < 0.001), lumbar total Z-score (-1.2 ± 1.23 g/cm 2 vs -0.6 ± 1.3 g/cm 2 , P < 0.001), total femur T-score (-0.05 ± 1 g/cm 2 vs -0.6 ± 0.9 g/cm 2 , P = 0.003) and total femur Z-score (-0.08 ± 1.5 g/cm 2 vs 0.7 ± 0.9 g/cm 2 , P =0.003) showed significantly lower values in the cirrhosis group. Blood ALP level (109.2 ± 57 U/Lvs 62.6 ± 32.5 U/L, P < 0.001), IL-6 level (27.9 ± 51.6 pg/mL vs 3.3 ± 3.1 pg/mL, P = 0.01), TNF-α level (42.6 ± 33.2 pg/mL vs 25.3 ± 12.3 pg/mL, P = 0.007) and direct bilirubin level (0.9 ± 0.7 mg/dL vs 0.3 ± 0.2 mg/dL, P < 0.001) were significantly higher in the cirrhosis group. IGF-1 level (47.7 ± 26.2 ng/mL vs 143.4 ± 53.2 ng/mL, P < 0.001), osteocalcin level (1.05 ± 2.5 ng/mL vs 7.0 ± 13 ng/mL, P = 0.002) and 24 h urinary Ca 2+ (169.6 ± 227.2 mg/dL vs 287 ± 168.6 mg/dL, P = 0.003) were significantly lower in the cirrhosis group. Urinary deoxypyridinoline/creatinine (9.4 ± 9.9 pmol/μmol vs 8.1 ± 5.3 pmol/μmol, P = 0.51), urinary pyridinoline/creatinine (51.3 ± 66.6 pmol/μmol vs 29 ± 25.8 pmo

关键词： Liver cirrhosis Osteoporosis Hepatic osteodystrophy

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A different view on the pathophysiology of Parkinson’s disease:a descendent neurochemical hypothesis?

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Neural Regeneration Research 2019年第10期14卷 1717-1718页

作者： Burak Yulug mehmet Ozansoy Seyda Cankaya Department of Neurology Alanya Alaaddin Keykubat UniversityAntalya/AlanyaTurkey Istanbul Medipol University Restorative and Regenerative Medicine CenterIstanbulTurkey Department of Physiology International School of MedicineIstanbul Medipol UniversityIstanbulTurkey

It has been already shown that Parkinson’s disease (PD) is characterized by a prominent degeneration in substantia nigra (SN) neurons. Growing evidence suggests that there is a latent period of PD associated with slight non-motor findings such as olfactory dysfunction (Dickson et al., 2018). However, the potential biomarker role of olfactory dysfunction in PD has been a topic of great interest in the last years (Raskin et al., 1990;Dickson et al., 2018). The classical hypothesis of Braak suggests that PD begins as a synucleinopathy in the lower brainstem or in the olfactory bulb (OB) that progresses rostrally to the SN and amygdala to cause parkinsonism at a later stage of the disease (Burke et al., 2008).

关键词： Parkinson period cause has neu PD is

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