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Certain pl(m,n)-Kummer Matrix Function of Two Complex Variables under Differential Operator

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Applied Mathematics 2013年第1期4卷 91-96页

作者： ayman shehata Department of Mathematics Faculty of Science Assiut University Assiut Egypt Department of Basic Applied Sciences Unaizah Community College Qassim University Qassim KSA

The main aim of this paper is to define and study of a new matrix functions, say, the pl(m,n)-Kummer matrix function of two complex variables. The radius of regularity, recurrence relation and several new results on this function are established when the positive integers p is greater than one. Finally, we obtain a higher order partial differential equation satisfied by the pl(m,n)-Kummer matrix function and some special properties.

关键词： Hypergeometric Matrix Function pl(m n)-Kummer Matrix Function Matrix Differential Equation

On pand q-Horn’s Matrix Function of Two Complex Variables

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Applied Mathematics 2011年第12期2卷 1437-1442页

作者： ayman shehata 不详

The main aim of this paper is to define and study of a new Horn’s matrix function, say, the p and q-Horn’s matrix function of two complex variables. The radius of regularity on this function is given when the positive integers p and q are greater than one, an integral representation of pHq 2 is obtained, recurrence relations are established. Finally, we obtain a higher order partial differential equation satisfied by the p and q-Horn’s matrix function.

关键词： Hypergeometric Matrix functions p and q-Horn’s Matrix Function Contiguous Relations Matrix Functions Matrix Differential Equation Differential Operator

A New Extension of Humbert Matrix Function and Their Properties

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Advances in Pure Mathematics 2011年第6期1卷 315-321页

作者： Mohamed Abul-Dahab ayman shehata Department of Mathematics Faculty of Science Assiut University Department of Mathematics Faculty of Science South Valley University

This paper deals with the study of the composite Humbert matrix function with matrix arguments . The convergence and integral form this function is established. An operational relation between a Humbert matrix function and Kummer matrix function is studied. Also, integral expressions of this relation are deduced. Finally, we define and study of the composite Humbert Kummer matrix functions.

关键词： Hypergeometric Matrix function Humbert Matrix Function Kummer Matrix Function Integral Representations

Reply to Comment on “On Humbert Matrix Polynomials of Two Variables”

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Advances in Pure Mathematics 2014年第7期4卷 324-325页

作者： Ghazi S. Khammash ayman shehata Department of Mathematics Al-Aqsa University Gaza Strip Palestine Department of Mathematics Faculty of Science Assiut University Assiut Egypt

The formula subject to comment in Reference [1] is correct.

关键词： Matrix Functions Humbert Matrix Polynomials

On Horn Matrix Function H2(A,A′,B,B′;C;z,w)of Two Complex Variables under Differential Operator

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Advances in Linear Algebra & Matrix Theory 2018年第2期8卷 96-110页

作者： Mohamed Saleh Metwally Mahmoud Tawfik Mohamed ayman shehata Department of Mathematics Faculty of Science (Suez) Suez Canal University Suez Egypt Department of Mathematics Faculty of Science (New Valley) Assiut University New Valley Egypt Department of Mathematics Faculty of Science Assiut University Assiut Egypt Department of Mathematics College of Science and Arts Unaizah Qassim University Qassim KSA

The aim of this paper deals with the study of the Horn matrix function of two complex variables. The convergent properties, an integral representation of H2(A,A′,B,B′;C;z,w) is obtained and recurrence matrix relations are given. Some result when operating on Horn matrix function with the differential operator D and a solution of certain partial differential equations are established. The Hadamard product of two Horn’s matrix functions is studied, certain results as, the domain of regularity, contiguous functional relations and operating with the differential operator D and D2 are established.

关键词： Hypergeometric Matrix Function Horn Matrix Function Integral Form Recurrence Matrix Relation Matrix Differential Equation Differential Operator Hadamard Product

Fosfomycin Therapy for Non-Complicated Lower Urinary Tract Infections during Pregnancy: Tanta University Experience

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Open Journal of Obstetrics and Gynecology 2017年第5期7卷 532-544页

作者： ayman shehata Dawood Abdelghaffar Said Dawood Salah Abdelmonsef Nagla Mohamed Abdelatti El-Bakary Department of Obstetrics and Gynecology Tanta University Tanta Egypt Department of Urology Tanta University Tanta Egypt

Objectives: To evaluate the efficacy, compliance, safety and economic cost for Fosfomycin trometamol and Nitofurantoin in uncomplicated lower urinary tract infections during pregnancy. Background: Nitofurantoin and Fosfomycin trometamol are recommended as the first-line agents for treatment of urinary tract infections (UTIs) in the latest guidelines endorsed by the Infectious Diseases Society of America (IDSA) and the European Society for Clinical Microbiology and Infectious Diseases (ESCMID). Fosfomycin is bactericidal and inhibits bacterial cell wall biogenesis and reduces bacterial adherence to uroepithelial cells. Fosfomycin has broad antibacterial activity against both Gram-positive and Gram-negative pathogens, as Escherichia coli, Escherichia faecalis, and various Gram-negatives like Citrobacter and Proteus. Both Nitofurantoin and Fosfomycin are category B in pregnancy. Patients and Methods: This study was conducted at Tanta University Hospitals in the period from June, 1, 2015 to January, 1, 2017. Patients were recruited from outpatient clinics of Obstetrics and Gynecology and Urology Departments presenting with asymptomatic bacteruria or cystitis. Patients were allocated randomly into 2 groups: group I (n = 50 cases) received Fosfomycin therapy and group II (n = 50 cases) received Nitofurantoin therapy (n = 50 cases). After treatment, evaluation of patient symptoms, organism count, patient compliance and cost of treatment were done. Results: The enrolled patients were suffering from lower urinary tract infections;asymptomatic bacteruria (17 cases) or cystitis (83 cases). Ten patients were excluded. The demographic data of included patients were not significant for both groups. Complete relief (100%) of symptoms 5 days after start of treatment was noticed in Fosfomycin group while improvement of symptoms after 5 day-treatment was noticed in 86.49% in Nitofurantoin group (p-value = 0.030). The side effects were recorded in 7 cases (18.42%) in Fosfomycin group

关键词： Fosfomycin Nitofurantoin Pregnancy UTIs Asymptomatic Bacteuria Cystitis

A New Extension of Humbert Matrix Function and Their Properties

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Ground motion spatial variability effects on seismic response control of cable-stayed bridges

Advances in Pure Mathematics 2011年第6期

作者： Mohamed Abul-Dahab ayman shehata

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Earthquake Engineering and Engineering Vibration 2011年第1期10卷 37-49页

作者： shehata E. Abdel Raheem Toshiro Hayashikawa Uwe Dorka Civil Engineering Department Faculty of Engineering Assiut University Bridge and Structural Design Engineering Hokkaido University Steel & Composite Structures Kassel Universitt

The spatial variability of input ground motion at supporting foundations plays a key role in the structural response of cable-stayed bridges （CSBs）; therefore, spatial variation effects should be included in the analysis and design of effective vibration control systems. The control of CSBs represents a challenging and unique problem, with many complexities in modeling, control design and implementation, since the control system should be designed not only to mitigate the dynamic component of the structural response but also to counteract the effects of the pseudo-static component of the response. The spatial variability effects on the feasibility and efficiency of seismic control systems for the vibration control of CSBs are investigated in this paper. The assumption of uniform earthquake motion along the entire bridge may result in quantitative and qualitative differences in seismic response as compared with those produced by uniform motion at all supports. A systematic comparison of passive and active system performance in reducing the structural responses is performed, focusing on the effect of the spatially varying earthquake ground motion on the seismic response of a benchmark CSB model with different control strategies, and demonstrates the importance of accounting for the spatial variability of excitations.

关键词： cable-stayed bridge vibration control earthquake spatial variation seismic design semi-active control

A Practical Study of Intelligent Image-Based Mobile Robot for Tracking Colored Objects

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Computers, Materials & Continua 2024年第8期80卷 2181-2197页

作者： Mofadal Alymani Mohamed Esmail Karar Hazem Ibrahim shehata College of Computing and Information Technology Shaqra UniversityShaqra11961Saudi Arabia Faculty of Electronic Engineering Menoufia UniversityMenouf32952Egypt Faculty of Engineering Zagazig UniversityZagazig44519Egypt

Object tracking is one of the major tasks for mobile robots in many real-world ***,artificial intelligence and automatic control techniques play an important role in enhancing the performance of mobile robot *** contrast to previous simulation studies,this paper presents a new intelligent mobile robot for accomplishing multi-tasks by tracking red-green-blue(RGB)colored objects in a real experimental ***,a practical smart controller is developed based on adaptive fuzzy logic and custom proportional-integral-derivative(PID)schemes to achieve accurate tracking results,considering robot command delay and tolerance *** design of developed controllers implies some motion rules to mimic the knowledge of experienced *** scenarios of three colored object combinations have been successfully tested and evaluated by using the developed controlled image-based robot *** PID control failed to handle some tracking scenarios in this *** proposed adaptive fuzzy PID control achieved the best accurate results with the minimum average final error of 13.8 cm to reach the colored targets,while our designed custom PID control is efficient in saving both average time and traveling distance of 6.6 s and 14.3 cm,*** promising results demonstrate the feasibility of applying our developed image-based robotic system in a colored object-tracking environment to reduce human workloads.

关键词： Mobile robot autonomous systems fuzzy logic control real-time image processing