نتایج جستجو برای: gaussian hypergeometric function

تعداد نتایج: 1275752  

1999
YONG CHAN KIM S. PONNUSAMY

Let F(a,b;c;z) be the classical hypergeometric function and f be a normalized analytic functions defined on the unit disk . Let an operator Ia,b;c(f ) be defined by [Ia,b;c(f )](z)= zF(a,b;c;z)∗f(z). In this paper the authors identify two subfamilies of analytic functions 1 and 2 and obtain conditions on the parameters a,b,c such that f ∈ 1 implies Ia,b;c(f )∈ 2.

2014
Robin K. S. Hankin

This paper introduces the hypergeo package of R routines for numerical calculation of hypergeometric functions. The package is focussed on efficient and accurate evaluation of the Gauss hypergeometric function over the whole of the complex plane within the constraints of fixed-precision arithmetic. The hypergeometric series is convergent only within the unit circle, so analytic continuation mus...

Journal: :Discrete Mathematics & Theoretical Computer Science 2005
Mohamud Mohammed

A function H(x,z), in the integer variables x and z, is called hypergeometric if H(x+1,z)/H(x,z) and H(x,z+1)/H(x,z) are rational functions of x and z. In this article we consider only those hypergeometric functions which are a ratio of products of factorials (we call such hypergeometric functions purehypergeometric). A P-recursive function is a function that satisfies a linear recurrence relat...

2017
WEN XU Amod Agashe

To solve globally bounded order 3 linear differential equations with rational function coefficients, this thesis introduces a partial 3F2-solver (Section 3.2) and F1-solver (Chapter 4) where 3F2 is the hypergeometric function 3F2(a1, a2, a3; b1, b2 |x) and F1 is the Appell’s F1(a, b1, b2, c |x, y). To investigate the relations among order 3 multivariate hypergeometric functions, this thesis pre...

2010
K. Teerapabolarn

In this paper, the Stein-Chen method and the w-function associated with the negative hypergeometric random variable are used to give a result of the Poisson approximation to the negative hypergeometric distribution in terms of the total variation distance. Some numerical examples are presented to illustrate the result obtained. 2010 Mathematics Subject Classification: 60F05

2011
H. E. Darwish

The purpose of the present article is to introduce several new subclasses of meromorphic functions defined by using the multiplier transformation and hypergeometric function and investigate various inclusion relationships for these subclasses. Some interesting applications involving a certain class of hypergeometric functions are also considered. 2000 Mathematics Subject Classification: 30C45.

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