Some Reduction Formulae Associated with Gauss and Fox-Wright Hypergeometric Functions

M.I. Qureshi; Saima Jabee; Sulakshana Bajaj

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Some Reduction Formulae Associated with Gauss and Fox-Wright Hypergeometric Functions

机译：与高斯和福克斯-赖特超几何函数相关的一些归约公式

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摘要

In this paper, we describe some reduction formulae for Gauss’ hypergeometric function and Fox-Wright hypergeometric function associated with suitable convergence conditions using series rearrangement technique.

机译：在本文中，我们使用级数重排技术描述了与合适的收敛条件相关联的高斯超几何函数和Fox-Wright超几何函数的一些约简公式。

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《Turkish Journal of Analysis and Number Theory》 |2018年第3期|共4页
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M.I. Qureshi; Saima Jabee; Sulakshana Bajaj;
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1. Decomposition formulae for generalized hypergeometric functions with the Gauss-Kummer identity [J] . Naoya Hayashi, Yutaka Matsui Communications of the Korean Mathematical Society . 2014,第1期

机译：具有Gauss-Kummer恒等式的广义超几何函数的分解公式
2. On a New Class of Harmonic Univalent Functions Defined by Fox-Wright Generalized Hypergeometric Function [J] . A.R.S. Juma, H. Zirar International Journal of Pure and Applied Sciences and Technology . 2014,第1期

机译：关于Fox-Wright广义超几何函数定义的一类新的谐波单价函数
3. HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables [J] . Bytev Vladimir V., Kniehl Bernd A. Computer physics communications . 2015,第Null期

机译：HYPERDIRE超几何函数微分减少：基于Mathematica的软件包，用于广义超几何函数的微分减少：两个变量的Horn型超几何函数
4. Hermite-Hadamard inequalities involving the Gauss hypergeometric function [C] . Mehmet Zeki Sarikaya International Eurasian Conference on Mathematical Sciences and Applications . 2018

机译：Hermite-Hadamard不等式涉及高斯超高度函数
5. Integer ratios of factorials, hypergeometric functions, and related step functions. [D] . Bober, Jonathan William. 2009

机译：阶乘，超几何函数和相关阶跃函数的整数比。
6. Reduction Formulae for Products of Theta Functions [O] . P. L. Walker 2012

机译：Theta函数乘积的归约公式
7. HYPERDIRE: HYPERgeometric Functions DIfferential REduction: MATHEMATICA based Packages for Differential Reduction of Generalized Hypergeometric Functions: $F_D$ and $F_S$ Horn-type Hypergeometric functions of three variables [O] . Bytev, Vladimir V., Kalmykov, Mikhail, Moch, Sven-Olaf 2014

机译：HYPERDIRE：超几何函数微分减少：基于MATHEMATICA的软件包，用于广义超几何函数的微分减少：$ F_D $和$ F_S $ Horn类型的三个变量的超几何函数
8. Reduction of a Class of Fox-Wright PSI Functions for Certain Rational Parameters. [R] . Miller, A. R., Moskowitz, I. S. 1995

机译：为某些有理参数减少一类Fox-Wright psI函数。

Some Reduction Formulae Associated with Gauss and Fox-Wright Hypergeometric Functions

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