JOURNAL BROWSE
Search
Advanced SearchSearch Tips
THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES 2φ1
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
THREE-TERM CONTIGUOUS FUNCTIONAL RELATIONS FOR BASIC HYPERGEOMETRIC SERIES 2φ1
KIM, YONG-SUP; RATHIE ARJUN K.; CHOI, JUNE-SANG;
  PDF(new window)
 Abstract
The authors aim mainly at giving fifteen three-term contiguous relations for the basic hypergeometric series corresponding to Gauss`s contiguous relations for the hypergeometric series given in Rainville([6], p.71). They also apply them to obtain two summation formulas closely related to a known q-analogue of Kummer`s theorem.
 Keywords
basic hypergeometric series;q-analogue of Kummer`s summation theorem;Gauss`s summation theorem;Gauss`s contiguous relations;
 Language
English
 Cited by
1.
A STUDY OF Q-CONTIGUOUS FUNCTION RELATIONS, Communications of the Korean Mathematical Society, 2016, 31, 1, 65  crossref(new windwow)
 References
1.
G. E. Andrews, On the q-analog of Kummer's theorem and application, Duke Math. J. 40 (1973), no. 3, 525-528 crossref(new window)

2.
W. N. Bailey, A note on a certain q-identities, Quart. J. Mech. Appl. Math. 12(1941), 173-175

3.
J. A. Daum, The basic analog of Kummer's theorem, Bull. Amer. Math. Soc. 48 (1942), 711-713 crossref(new window)

4.
G. Gasper and H. Rahman, Basic Hypergeometric Series, Cambridge University Press, 1990

5.
E. Heine, Unterschungen uber die Reihe ..., J. Reine Angew. Math. 34 (1847), 285-328

6.
E. D. Rainville, Special Funtions, Macmillan Company, New York, 1960

7.
A. K. Rathie and Y. S. Kim, On a q-analog of Kummer's theorem and its contiguous results, Comm. Korean Math. Soc. 18 (2003), no. 1, 151-157 crossref(new window)