On the analogues of some transformations of nearlypoised hypergeometric series
Authors:
B. Nassrallah and Mizan Rahman
Journal:
Trans. Amer. Math. Soc. 268 (1981), 211229
MSC:
Primary 33A30
MathSciNet review:
628455
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Abstract 
References 
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Abstract: A number of transformation formulas for very wellpoised basic hypergeometric series have been obtained which, in the limit , approach the known transformation formulas for nearlypoised ordinary hypergeometric series.
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 G. E. Andrews, Applications of basic hypergeometric series, SIAM Rev. 16 (1974), 441484. MR 0352557 (50:5044)
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 , The theory of partitions, Encyclopedia of Mathematics and Its Applications, Vol. 2, AddisonWesley, Reading, Mass., 1977. MR 0557013 (58:27738)
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 L. Carlitz, Some formulas of F. H. Jackson, Monatsh. Math. 73 (1969), 193198. MR 0248035 (40:1290)
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 Mizan Rahman, A nonnegative representation of the linearization coefficients of the product of Jacobi polynomials, Canad. J. Math. (to appear). MR 634149 (83i:33007a)
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 , The linearization of the product of continuous Jacobi polynomials, Canad. J. Math. (to appear).
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 L. J. Slater, Generalized hypergeometric functions, Cambridge Univ. Press, Cambridge, 1966. MR 0201688 (34:1570)
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 Arun Verma, A quadratic transformation of a basic hypergeometric series, SIAM J. Math. Anal. 11 (1980), 425427. MR 572192 (81f:33005)
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 F. J. W. Whipple, Some transformations of generalized hypergeometric series, Proc. London Math. Soc. (2) 26 (1927), 257272.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S00029947198106284550
PII:
S 00029947(1981)06284550
Keywords:
Basic hypergeometric series,
bibasic series,
very wellpoised series,
nearlypoised series transformations
Article copyright:
© Copyright 1981 American Mathematical Society
