A q-analogue of Kummer's 20 relations

Journal of Mathematical Analysis and Applications

Volumn 272, Issue 1, 2002, Pages 43-54

  Cooper, Shaun ^a  

^a MASSEY UNIVERSITY   (New Zealand)

Author keywords

Basic hypergeometric series; Euler's transformation; Heine's transformation; Hypergeometric function; Kummer's 20 relations; Pfaff's transformation

Indexed keywords

EID: 0036700312     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(02)00130-0     Document Type: Article

References (7)

1. G. Andrews, R. Askey, R. Roy, Special Functions, Cambridge University Press, 1999.
2. W.N. Bailey, Generalized Hypergeometric Series, Cambridge University Press, 1935.
3. A. Erdelyi (Ed.), Higher Transcendental Functions, Vol. 1, McGraw-Hill, 1953; reprinted Robert E. Krieger Publishing Company, 1981.
4. G. Gasper, M. Rahman, Basic Hypergeometric Series, Cambridge University Press, 1990.
5. N.A. Hall, An algebraic identity, J. London Math. Soc. 11 (1936) 276.
6. D.B. Sears, On the transformation theory of basic hypergeometric functions, Proc. London Math. Soc. (2) 53 (1951) 158-180.
7. G.N. Watson, The continuations of functions defined by generalised hypergeometric series, Trans. Cambridge Philos. Soc. XXI (1910) 281-299.