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Wright Type Hypergeometric Function and Its Properties

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Advances in Pure Mathematics 2013年第3期3卷 335-342页

作者： Snehal B. Rao Jyotindra C. Prajapati ajay k. shukla Department of Applied Mathematics and Humenities S.V. National Institute of Technology Surat India Department of Applied Mathematics The M.S. University of Baroda Vadodara India Department of Mathematical Sciences Faculty of Applied Sciences Charotar University of Science and Technology Anand India

Let s and z be complex variables, Γ(s) be the Gamma function, and for any complex v be the generalized Pochhammer symbol. Wright Type Hypergeometric Function is defined (Virchenk. et al. [1]), as: where which is a direct generalization of classical Gauss Hypergeometric Function 2F1(a,b;c;z). The principal aim of this paper is to study the various properties of this Wright type hypergeometric function 2R1(a,b;c;τ;z);which includes differentiation and integration, representation in terms of pFq and in terms of Mellin-Barnes type integral. Euler (Beta) transforms, Laplace transform, Mellin transform, Whittak.r transform have also been obtained;along with its relationship with Fox H-function and Wright hypergeometric function.

关键词： Euler Transform Fox H-Function Wright Type Hypergeometric Function Laplace Transform Mellin Transform Whittak.r Transform Wright Hypergeometric Function

Geochemistry and mineral chemistry of the armoor granitoids,eastern dharwar craton: implications for the redox conditions and tectono-magmatic environment

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Acta Geochimica 2024年第1期43卷 110-133页

作者： A.ajay k.mar Ch.Ashok Department of Geology Osmania UniversityHyderabad 500007India CSIR-National Geophysical Research Institute UppalHyderabad 500007India

The mineralogical and geochemical characteristics of the k.rich granites from the Armoor granitic rock. in the northeastern portion of the Eastern Dharwar Craton(EDC) are *** order to understand its physicochemical conditions,the petrogenesis of the granitoid was explained from biotite chemistry and geochemical *** of mineral chemistry expose that compositionally,k.feldspar and plagioclase in Armoor granite rock. range from An0,Ab_(3-5.9),Or_(94-96.9) and An_(5-29,-Ab71.9-94.9),Or_(0-1.5),*** mineral chemistry of biotite crystals exhibits composition that varies from primary to re-equilibrated primary *** biotites from the Armoor granites generally exhibit an I-type trend,with calc-alk.line parental magma in a subduction *** chemistry of granites displays magnetite(oxidized)series nature,which has oxygen fugacity(fO_(2))=-15.1 to-16.7(log_(10) bar),under high oxidizing *** and pressure estimates for the crystallization of Armoor granites based on biotite composition are T=612-716 ℃ and 1.0-0.4 k.ar,***,these rock. are metaluminous to slightly peraluminous and magnesian,with calc-alk.line potassiumrich *** the chondrite normalized REE diagram,the granites have positive europium anomalies;rich Sr/Y,(Dy/Yb)_(N) ratios and reduced Mg#,Rb/Sr,Rb,Sr indicate that the melting of earlier rock.,crystal accumulation and residual garnet source formed at high *** examined granites show that they are produced from the melting of crustal ***,the extensive analyses of the described Armoor granite suggest that they were produced by crust sources and developed under oxidizing conditions in subduction setting.

关键词： Armoor granites Oxygen fugacity Crystal accumulation Remelting Subduction

Hopf bifurcation in a delayed prey-predator model with prey refuge involving fear effect

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International Journal of Biomathematics 2024年第5期17卷 1-32页

作者： Ank.t Parwaliya Anuraj Singh ajay k.mar Department of Applied Sciences ABV-Indian Institute of Information Technology and ManagementGwalior 474015India

This work.investigates a prey-predator model featuring a Holling-type II functional response,in which the fear effect of predation on the prey species,as well as prey refuge,are ***,the model assumes that the growth rate of the prey population decreases as a result of the fear of ***,the detection of the predator by the prey species is subject to a delay k.own as the fear response delay,which is incorporated into the *** paper establishes the preliminary conditions for the solution of the delayed model,including positivity,boundedness and *** paper discusses the existence and stability of equilibrium points in the *** particular,the paper considers the discrete delay as a bifurcation parameter,demonstrating that the system undergoes Hopf bifurcation at a critical value of the delay *** direction and stability of periodic solutions are determined using central manifold and normal form ***,the global stability of the model is established at axial and positive equilibrium *** extensive numerical simulation is presented to validate the analytical findings,including the continuation of the equilibrium branch for positive equilibrium points.

关键词： Hopf bifurcation fear effect prey refuge periodic solutions time delay branch off

Unearthing old rice germplasm,illuminating a new way to improvement

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Journal of Integrative Plant Biology 2024年第6期66卷 1041-1043页

作者： Xiaoming Zheng Ramaiah Venuprasad ajay k.hli International Rice Research Institute Metro ManilaPhilippines

We are on the cusp of a new era,with the global pop-ulation surpassing 8 billion,and over half relying on riceas their staple food(Sasak. and Burr,2000).Despite thisgrowing demand,rice yield per unit has seemingly plateauedfor many years(Song et al.,2022).This stagnation raisesserious concerns about future global food security,especiallyconsidering the shrink.ng arable land in many countries.

关键词： germplasm plateau spite

Pre‑hatch thermal manipulation of embryos and post‑hatch baicalein supplementation mitigated heat stress in broiler chick.ns

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Journal of Animal Science and Biotechnology 2024年第3期15卷 1071-1085页

作者： Sadid Al Amaz ajay Chaudhary Prem Lal Mahato Rajesh Jha Birendra Mishra Department of Human Nutrition Food and Animal SciencesCollege of Tropical Agriculture and Human ResourcesUniversity of Hawai’i at ManoaAgSci 2161955 East‑West RdHonoluluHI 96822USA

Back.round High environmental temperatures induce heat stress in broiler chick.ns,affecting their health and pro-duction *** dietary,managerial,and genetics strategies have been tested with some success in mitigating heat stress(HS)in *** novel HS mitigation strategies for sustaining broiler production is critically *** study investigated the effects of pre-hatch thermal manipulation(TM)and post-hatch baica-lein supplementation on growth performance and health parameters in heat-stressed *** Six hundred fertile Cobb 500 eggs were incubated for 21 *** candling on embryonic day(ED)10,238 eggs were thermally manipulated at 38.5℃ with 55%relative humidity(RH)from ED 12 to 18,then transferred to the hatcher(ED 19 to 21,standard temperature)and 236 eggs were incubated at a controlled temperature(37.5℃)till *** hatch,180-day-old chick. from both groups were raised in 36 pens(n=10 birds/pen,6 replicates per treatment).The treatments were:1)Control,2)TM,3)control heat stress(CHS),4)thermal manipulation heat stress(TMHS),5)control heat stress supplement(CHSS),and 6)thermal manipulation heat stress supplement(TMHSS).All birds were raised under the standard environment for 21 d,followed by chronic heat stress from d 22 to 35(32–33℃ for 8 h)in the CHS,TMHS,CHSS,and TMHSS groups.A thermoneutral(22–24℃)environment was maintained in the Control and TM *** was constant(50%±5%)throughout the *** the data were analyzed using one-way ANOVA in R and GraphPad software at Pk.protein-related genes(HSP70,HSP90,and HSPH1)and antioxidant-related genes(GPX1 and TXN).TMHS birds showed a significant increment(P<0.05)in total cecal volatile fatty acid(VFA)concentration compared to the CHS bird

关键词： Baicalein Growth performance Gut microbiota Heat stress Thermal manipulation

Glucagon-lik. peptide-1 receptor agonists as a possible intervention to delay the onset of type 1 diabetes:A new horizon

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World Journal of Diabetes 2024年第2期15卷 133-136页

作者： Mahmoud Nassar ajay Chaudhuri Husam Ghanim Paresh Dandona Department of Internal Medicine Division of EndocrinologyDiabetes and MetabolismJacobs School of Medicine and Biomedical SciencesUniversity of BuffaloBuffaloNY 14221United States

Type 1 diabetes(T1D)is a chronic autoimmune condition that destroys insulinproducing beta cells in the pancreas,leading to insulin deficiency and *** management of T1D primarily focuses on exogenous insulin replacement to control blood glucose ***,this approach does not address the underlying autoimmune process or prevent the progressive loss of beta *** research has explored the potential of glucagon-lik. peptide-1 receptor agonists(GLP-1RAs)as a novel intervention to modify the disease course and delay the onset of ***-1RAs are medications initially developed for treating type 2 *** exert their effects by enhancing glucose-dependent insulin secretion,suppressing glucagon secretion,and slowing gastric *** evidence suggests that GLP-1RAs may also benefit the treatment of newly diagnosed patients with *** article aims to highlight the potential of GLP-1RAs as an intervention to delay the onset of T1D,possibly through their potential immunomodulatory and anti-inflammatory effects and preservation of *** article aims to explore the potential of shifting the paradigm of T1D management from reactive insulin replacement to proactive disease modification,which should open new avenues for preventing and treating T1D,improving the quality of life and long-term outcomes for individuals at risk.of T1D.

关键词： Type 1 diabetes Semaglutide Glucagon-lik. peptide-1 receptor agonists Insulin therapy Autoimmune response Blood glucose monitoring Β-cell preservation Early screening Teplizumab Randomized controlled trials

Layered Potassium Titanium Niobate/Reduced Graphene Oxide Nanocomposite as a Potassium‑Ion Battery Anode

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Nano-Micro Letters 2024年第1期16卷 1-16页

作者： Charlie A.F.Nason ajay Piriya Vijaya k.mar Saroja Yi Lu Runzhe Wei Yupei Han Yang Xu Department of Chemistry University College London20 Gordon StreetLondon WC1H 0AJUK

With graphite currently leading as the most viable anode for potassium-ion batteries(k.Bs),other materials have been left relatively *** metal oxides are among these,with many positive attributes such as synthetic maturity,longterm cycling stability and fast redox ***,to address this research deficiency we report herein a layered potassium titanium niobate k.iNbO5(k.NO)and its rGO nanocomposite(k.NO/rGO)synthesised via solvothermal methods as a high-performance anode for *** effective distribution across the electrically conductive rGO,the electrochemical performance of the k.NO nanoparticles was *** potassium storage performance of the k.NO/rGO was demonstrated by its first charge capacity of 128.1 mAh g^(−1) and reversible capacity of 97.5 mAh g^(−1) after 500 cycles at 20 mA g^(−1),retaining 76.1%of the initial capacity,with an exceptional rate performance of 54.2 mAh g^(−1)at 1 A g^(−1).Furthermore,to investigate the attributes of k.NO in-situ XRD was performed,indicating a low-strain ***-situ X-ray photoelectron spectra further investigated the mechanism of charge storage,with the titanium showing greater redox reversibility than the *** work.suggests this lowstrain nature is a highly advantageous property and well worth regarding k.NO as a promising anode for future high-performance k.Bs.

关键词： Potassium-ion batteries Intercalation Transition metal oxides Anodes Nanocomposite

Tuning the crystallinity of titanium nitride on copper-embedded carbon nanofiber interlayers for accelerated electrochemical k.netics in lithium-sulfur batteries

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Carbon Energy 2024年第6期6卷 40-55页

作者： Yinyu Xiang Liqiang Lu Feng Yan Debarun Sengupta Petra Rudolf ajay Giri Prak.sh k.ttapalli Yutao Pei Advanced Production Engineering Engineering and Technology Institute GroningenUniversity of GroningenGroningenThe Netherlands Zernik. Institute for Advanced Materials University of GroningenGroningenThe Netherlands

The development of lithium-sulfur(Li-S)batteries is hindered by the disadvantages of shuttling of polysulfides and the sluggish redox k.netics of the conversion of sulfur species during discharge and ***,the crystallinities of a titanium nitride(TiN)film on copper-embedded carbon nanofibers(Cu-CNFs)are regulated and the nanofibers are used as interlayers to resolve the aforementioned crucial issues.A low-crystalline TiN-coated Cu-CNF(L-TiN-Cu-CNF)interlayer is compared with its highly crystalline counterpart(H-TiN-Cu-CNFs).It is demonstrated that the L-TiN coating not only strengthens the chemical adsorption toward polysulfides but also greatly accelerates the electrochemical conversion of *** to robust carbon framework. and enhanced k.netics,impressive highrate performance at 2 C(913 mAh g^(-1)based on sulfur)as well as remark.ble cyclic stability up to 300 cycles(626 mAh g^(-1))with capacity retention of 46.5%is realized for L-TiN-Cu-CNF interlayer-configured Li-S *** under high loading(3.8 mg cm^(-2))of sulfur and relatively lean electrolyte(10μL electrolyte per milligram sulfur)conditions,the Li-S battery equipped with L-TiN-Cu-CNF interlayers delivers a high capacity of 1144 mAh g^(-1)with cathodic capacity of 4.25 mAh cm^(-2)at 0.1 C,providing a potential pathway toward the design of multifunctional interlayers for highly efficient Li-S batteries.

关键词： crystallinity electrochemical k.netics interlayer lithium-sulfur batteries titanium nitride

Integrating Transformer and Bidirectional Long Short-Term Memory for Intelligent Breast Cancer Detection from Histopathology Biopsy Images

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Computer Modeling in Engineering & Sciences 2024年第10期141卷 443-458页

作者： Prasanalak.hmi Balaji Omar Alqahtani Sangita Babu Mousmi ajay Chaurasia Shanmugapriya Prak.sam Department of Computer Science College of Computer ScienceKing Khalid UniversityAbha61451Saudi Arabia College of Science and Arts in Rijal Alma King Khalid UniversityAbha61451Saudi Arabia Department of Information Technology Muffakham Jah College of Engineering and TechnologyHyderabad500034India Department of Computer Science and Business Systems Rajalakshmi Engineering CollegeThandalam602105India

Breast cancer is a significant threat to the global population,affecting not only women but also a threat to the entire *** recent advancements in digital pathology,Eosin and hematoxylin images provide enhanced clarity in examiningmicroscopic features of breast tissues based on their staining *** cancer detection facilitates the quick.ning of the therapeutic process,thereby increasing survival *** analysis made by medical professionals,especially pathologists,is time-consuming and challenging,and there arises a need for automated breast cancer detection *** upcoming artificial intelligence platforms,especially deep learning models,play an important role in image diagnosis and ***,the histopathology biopsy images are tak.n from standard data ***,the gathered images are given as input to the Multi-Scale Dilated Vision Transformer,where the essential features are ***,the features are subjected to the Bidirectional Long Short-Term Memory(Bi-LSTM)for classifying the breast cancer *** efficacy of the model is evaluated using divergent *** compared with other methods,the proposed work.reveals that it offers impressive results for detection.

关键词： Bidirectional long short-term memory breast cancer detection feature extraction histopathology biopsy images multi-scale dilated vision transformer