Lie theory and q-Appell functions

被引：0

作者：

Sharma, Kishan ^{[2
]}

Jain, Renu ^{[1
]}

机构：

[1] Jiwaji Univ, Sch Math & Allied Sci, Gwalior 474011, India

[2] NRI Inst Technol & Management, Gwalior 474001, India

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES INDIA SECTION A-PHYSICAL SCIENCES | 2007年 / 77A卷

关键词：

Lie theory; basic hypergeometric function; q-Appell function;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

q-Appell functions have been brought within the perview of Lie theory by deriving reduction formulae for q-Appell functions namely Phi((1)) and Phi((2)) using the dynamical symmetry algebra of basic hypergeometric functions 2 Phi(1).

引用

页码：259 / 261

页数：3

共 6 条

[1] SUMMATIONS AND TRANSFORMATIONS FOR BASIC APPELL SERIES
ANDREWS, GE
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1972, 4 (MAY): : 618 - &
[2] Appell P., 1926, Fonctions Hypergeometriques et Hyperspheriques: Polynomes d'Hermite
[3] Exton H, 1983, q-Hypergeometric functions and applications
[4] Jackson, 1942, Q J MATH OXFORD, V13, P69, DOI [10.1093/qmath/os-13.1.69, DOI 10.1093/QMATH/OS-13.1.69]
[5] MILLER W, 1973, SIAM J APPL MATH, V25, P226, DOI 10.1137/0125026
[6] MILLER W, 1968, LIE THEORY SPECIAL F

← 1 →