• Transformations of mixed hyper...

Treffer: Transformations of mixed hypergeometric series

Title:
Transformations of mixed hypergeometric series
Authors:
Abdul Hakim Khan, Mumtaz Ahmad Khan
Source:
Demonstratio Mathematica. 29
Publisher Information:
Walter de Gruyter GmbH, 1996.
Publication Year:
1996
Subject Terms:
quadric transformations, bibasic hypergeometric series, mixed hypergeometric series, basic hypergeometric functions, Other basic hypergeometric functions and integrals in several variables, \(q\)-fractional derivative, 0101 mathematics, 01 natural sciences
Document Type:
Fachzeitschrift Article
File Description:
application/xml
ISSN:
2391-4661
DOI:
10.1515/dema-1996-0325
Access URL:
http://www.degruyter.com/view/j/dema.1996.29.issue-3/dema-1996-0325/dema-1996-0325.xml
Accession Number:
edsair.doi.dedup.....f41efeef8def0812d3486b674c7ebb51
Database:
OpenAIRE

Weitere Informationen

In an earlier paper, the authors [Acta Math. Vietnam 14, No. 1, 95-98 (1989; Zbl 0726.33012)] introduced the mixed hypergeometric series in the following form: \[ A+B^YC +D {(a): q_1^{(b)}; x\brack(c): q_1^{(d)}; q^\lambda}= \sum^\infty_{n=0} {\bigl[(a)\bigr]_n [q^{(b)}]_n \over \bigl[(c) \bigr]_n [q^{(a)}]_n} x^nq^{n(n+1)/2} \] where \(\lambda>0\), \(| q