SERIES EXPANSION OF HYPERGEOMETRIC FUNCTIONS ABOUT THEIR PARAMETERS USING MultiHypExp

被引：0

作者：

Bera S. ^{[1
]}

机构：

[1] Indian Institute of Science, Karnataka, Bengaluru

来源：

Acta Physica Polonica B, Proceedings Supplement | 2024年 / 17卷 / 02期

关键词：

D O I：

10.5506/APhysPolBSupp.17.2-A13

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

We describe our algorithm to find the series expansion of multivariate hypergeometric functions (MHFs) in ϵ that lie in the Pochhammer parameters and its Mathematica implementation MultiHypExp. © 2024 Jagiellonian University. All rights reserved.

引用

共 50 条

[1] Series and ε-expansion of the hypergeometric functions
Kalmykov, MY
[J]. NUCLEAR PHYSICS B-PROCEEDINGS SUPPLEMENTS, 2004, 135 : 280 - 284
[2] EXPANSION OF THE HYPERGEOMETRIC FUNCTIONS IN SERIES OF CONFLUENT ONES
TRICOMI, FG
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1951, 57 (01) : 80 - 80
[3] SERIES EXPANSION OF INTEGRAL FUNCTIONS BY HYPERGEOMETRIC POLYNOMIALS
KUSHNIRC.IF
[J]. DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1974, (06): : 503 - 507
[4] MultiHypExp: A MATHEMATICA package for expanding multivariate hypergeometric functions in terms of multiple polylogarithms
Bera, Souvik
[J]. COMPUTER PHYSICS COMMUNICATIONS, 2024, 297
[5] The asymptotic expansion of integral functions defined by generalised hypergeometric series
Barnls, EW
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1907, 5 : 59 - 116
[6] Hypergeometric Series, Truncated Hypergeometric Series, and Gaussian Hypergeometric Functions
Deines, Alyson
Fuselier, Jenny G.
Long, Ling
Swisher, Holly
Tu, Fang-Ting
[J]. DIRECTIONS IN NUMBER THEORY, 2016, 3 : 125 - 159
[7] Towards all-order Laurent expansion of generalised hypergeometric functions about rational values of parameters
Kalmykov, Mikhail Yu.
Kniehl, Bernd A.
[J]. NUCLEAR PHYSICS B, 2009, 809 (03) : 365 - 405
[8] SERIES OF HYPERGEOMETRIC FUNCTIONS
RUEHR, OG
[J]. SIAM REVIEW, 1976, 18 (04) : 767 - 769
[9] EXPANSION OF FUNCTIONS IN COMBINATIONS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
BRISTOW, L
[J]. DUKE MATHEMATICAL JOURNAL, 1946, 13 (03) : 331 - 344
[10] INFINITE SERIES OF HYPERGEOMETRIC FUNCTIONS
MANOCHA, HL
SHARMA, BL
[J]. ANNALES DE LA SOCIETE SCIENTIFIQUE DE BRUXELLES SERIES 1-SCIENCES MATHEMATIQUES ASTRONOMIQUES ET PHYSIQUES, 1966, 80 (01): : 73 - &

← 1 2 3 4 5 →