HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables

Bytev Vladimir V.; Kniehl Bernd A.

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HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables

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

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HYPERDIRE is a project devoted to the creation of a set of Mathematica-based programs for the differential reduction of hypergeometric functions. The current version allows for manipulations involving the full set of Horn-type hypergeometric functions of two variables, including 30 functions.

机译：HYPERDIRE是一个项目，致力于创建一组基于Mathematica的程序，用于差分缩减超几何函数。当前版本允许操纵涉及两个变量的全套Horn型超几何函数，包括30个函数。

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《Computer physics communications》 |2015年第null期|共27页
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Bytev Vladimir V.; Kniehl Bernd A.;
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正文语种 eng
中图分类计算机的应用;
关键词
Hypergeometric functions; Differential reduction;

机译：超几何函数;微分约简;

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1. 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
2. HYPERDIRE-HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Lauricella function F-C of three variables [J] . Bytev Vladimir V., Kniehl Bernd A. Computer physics communications . 2016,第Null期

机译：HYPERDIRE-HYPER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：三个变量的Lauricella函数F-C
3. HYPERDIRE, HYPERgeometric functions DIfferential REduction: MATHEMATICA-based packages for differential reduction of generalized hypergeometric functions _pF_(p-1), F_1, F _2, F_3, F_4 [J] . Bytev V.V., Yu. Kalmykov M., Kniehl B.A. Computer physics communications . 2013,第10期

机译：HYPERDIRE，HYPERGEometric函数微分减少：基于MATHEMATICA的软件包，用于广义超几何函数_pF_（p-1），F_1，F _2，F_3，F_4的差分减少
4. Plenary Lecture 9 Overview of Differential Reduction for Hypergeometric Function Representation of Feynman Diagrams [C] . Bennie F. L. Ward International Conference on Computational and Information Science . 2009

机译：全体讲座9 Feynman图的超越距离函数表示的差分减少概述
5. Solving linear differential equations in terms of hypergeometric functions by 2-descent. [D] . Fang, Tingting. 2012

机译：通过2下降来求解具有超几何函数的线性微分方程。
6. Differential inequalities imposed by the extended hypergeometric function [O] . Rabha W. Ibrahim, M. Z. Ahmad, Hiba F. Al-Janaby -1

机译：扩展超几何函数带来的微分不等式
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

HYPERDIRE HYPERgeometric functions DIfferential REduction: Mathematica-based packages for the differential reduction of generalized hypergeometric functions: Horn-type hypergeometric functions of two variables

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