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检索条件"主题词=Generalized hypergeometric functions"
108 条 记 录,以下是1-10 订阅
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Fast and stable rational approximation of generalized hypergeometric functions
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NUMERICAL ALGORITHMS 2025年 第2期98卷 587-624页
作者: Slevinsky, Richard Mikael Univ Manitoba Dept Math Winnipeg MB Canada
Rational approximations of generalized hypergeometric functions pFq\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mat... 详细信息
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Pearson equations for discrete orthogonal polynomials: I. generalized hypergeometric functions and Toda equations
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STUDIES IN APPLIED MATHEMATICS 2022年 第3期148卷 1141-1179页
作者: Manas, Manuel Fernandez-Irisarri, Itsaso Gonzalez-Hernandez, Omar F. Univ Complutense Madrid Dept Fis Teor Plaza Ciencias 1 Madrid 28040 Spain Inst Ciencias Matemat ICMAT Campus Cantoblanco UAM Madrid 28049 Spain
The Cholesky factorization of the moment matrix is applied to discrete orthogonal polynomials on the homogeneous lattice. In particular, semiclassical discrete orthogonal polynomials, which are built in terms of a dis... 详细信息
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Inductance Calculations for Circular Coils With Rectangular Cross Section and Parallel Axes Using Inverse Mellin Transform and generalized hypergeometric functions
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IEEE TRANSACTIONS ON POWER ELECTRONICS 2017年 第2期32卷 1367-1374页
作者: Luo, Yao Wang, Xiaowei Zhou, Xinglong Wuhan Univ Sch Elect Engn Wuhan 430072 Peoples R China South Cent Univ Nationalities Coll Elect & Informat Wuhan 430074 Peoples R China
The inductance integrals of air-core circular coils with rectangular cross section and parallel axes are difficult to tackle with analytical method due to the inclusion of Struve functions. Using the inverse Mellin tr... 详细信息
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HYPERDIRE-hypergeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function FC of three variables
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COMPUTER PHYSICS COMMUNICATIONS 2016年 206卷 78-83页
作者: Bytev, Vladimir V. Kniehl, Bernd A. Univ Hamburg Inst Theoret Phys 2 D-22761 Hamburg Germany Joint Inst Nucl Res Dubna 141980 Moscow Region Russia
We present a further extension of the HYPERDIRE project, which is devoted to the creation of a set of Mathematica-based program packages for manipulations with Horn-type hypergeometric functions on the basis of differ... 详细信息
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Radially geometric stable distributions and processes
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ADVANCES IN APPLIED PROBABILITY 2025年
作者: Torricelli, Lorenzo Univ Bologna Bologna Italy Dept Stat Sci P Fortunati Via Belle Arti 41 I-40126 Bologna Italy
Motivated by the investigation of probability distributions with finite variance but heavy tails, we study infinitely divisible laws whose L & eacute;vy measure is characterized by a radial component of geometric ... 详细信息
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Meijer's G-Function and Euler's Differential Equation Revisited
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COMPUTATIONAL METHODS AND FUNCTION THEORY 2024年 1-23页
作者: Gesztesy, Fritz Hunziker, Markus Baylor Univ Dept Math Sid Richardson Bldg 1410 S 4th St Waco TX 76706 USA
We consider the generalized eigenvalue problem for the classical Euler differential equation and demonstrate its intimate connection with Meijer's G-functions. In the course of deriving the solution of the general... 详细信息
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EXPANSION OF hypergeometric functions IN TERMS OF POLYLOGARITHMS WITH A NONTRIVIAL CHANGE OF VARIABLES
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THEORETICAL AND MATHEMATICAL PHYSICS 2024年 第3期219卷 871-896页
作者: Bezuglov, M. A. Onishchenko, A. I. Joint Inst Nucl Res Bogoliubov Lab Theoret Phys Dubna Russia Budker Inst Nucl Phys Novosibirsk Russia Lomonosov Moscow State Univ Skobeltsyn Inst Nucl Phys Moscow Russia
hypergeometric functions of one and many variables play an important role in various branches of modern physics and mathematics. We often encounter hypergeometric functions with indices linearly dependent on a small p... 详细信息
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Asymptotic behavior of Clebsch-Gordan coefficients
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JOURNAL OF MATHEMATICAL CHEMISTRY 2024年 第10期62卷 2761-2775页
作者: Akdemir, S. Ozay, S. Oztekin, E. Sinop Univ Fac Educ Dept Sci Educ Sinop Turkiye Ondokuz Mayis Univ Fac Sci Dept Phys Samsun Turkiye
In this study, the Clebsch-Gordan coefficients are expressed using the generalized hypergeometric functions of unit argument and binomial coefficients, and their behavior as a function of quantum numbers is examined. ... 详细信息
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Highly Accurate Method for a Singularly Perturbed Coupled System of Convection-Diffusion Equations with Robin Boundary Conditions
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JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 2024年 第1期31卷 17页
作者: Ahmed, H. M. Helwan Univ Fac Technol & Educ Dept Math Helwan Egypt
This paper's major goal is to provide a numerical approach for estimating solutions to a coupled system of convection-diffusion equations with Robin boundary conditions (RBCs). We devised a novel method that used ... 详细信息
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Highly Accurate Method for Boundary Value Problems with Robin Boundary Conditions
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JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS 2023年 第3期30卷 1239-1263页
作者: Ahmed, Hany. M. Helwan Univ Fac Technol & Educ Dept Math Helwan Egypt
The main aim of the current paper is to construct a numerical algorithm for the numerical solutions of second-order linear and nonlinear differential equations subject to Robin boundary conditions. A basis function in... 详细信息
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