Differentiation of hypergeometric functions with respect to parameters

被引：0

作者：

Brychkov, YA ^{[1
]}

Geddes, KO ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119991, Russia

来源：

PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON ABSTRACT AND APPLIED ANALYSIS | 2004年

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A method is proposed for evaluation of derivatives of hypergeometric functions with respect to parameters.

引用

页码：15 / 28

页数：14

共 50 条

[1] Differentiation formulas of some hypergeometric functions with respect to all parameters
Kang, Hongchao
An, Congpei
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 454 - 464
[2] Derivatives of Horn hypergeometric functions with respect to their parameters
Ancarani, L. U.
Del Punta, J. A.
Gasaneo, G.
[J]. JOURNAL OF MATHEMATICAL PHYSICS, 2017, 58 (07)
[3] On derivatives of hypergeometric functions and classical polynomials with respect to parameters
Sofotasios, P. C.
Brychkov, Yu. A.
[J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2018, 29 (11) : 852 - 865
[4] Differentiation of Abelian functions with respect to parameters
Buchstaber, V. M.
Leikin, D. V.
[J]. RUSSIAN MATHEMATICAL SURVEYS, 2007, 62 (04) : 787 - 789
[5] Differentiation formulas of some hypergeometric functions with respect to all parameters (vol 258, pg 454, 2015)
Kang, Hongchao
An, Congpei
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2016, 273 : 1122 - 1122
[6] Derivatives of any Horn-type hypergeometric functions with respect to their parameters
Bytev, Vladimir V.
Kniehl, Bernd A.
[J]. NUCLEAR PHYSICS B, 2020, 952
[7] On the differentiation of a hypergeometric function with respect to the parameter
P. L. Ivankov
[J]. Journal of Mathematical Sciences, 2012, 182 (4) : 505 - 507
[8] One answer to an open problem on the monotonicity of Gaussian hypergeometric functions with respect to parameters
Bao, Qi
Wang, Miao Kun
Zhang, Yu Ao
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2022, 116 (03)
[9] One answer to an open problem on the monotonicity of Gaussian hypergeometric functions with respect to parameters
Qi Bao
Miao Kun Wang
Yu Ao Zhang
[J]. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2022, 116
[10] Differentiation of the Wright Functions with Respect to Parameters and Other Results
Apelblat, Alexander
Mainardi, Francesco
[J]. APPLIED SCIENCES-BASEL, 2022, 12 (24):

← 1 2 3 4 5 →