A class of finite q-series. III
Date
2009-08-24T21:38:30Z
Authors
Srivastava, H.M.
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Abstract
Simple proofs based only upon some rather elementary results are presented for several interesting generalizations (involving series with essentially arbitrary terms) a number of finite summation formulas for certain classes of hypergeometric functions of one and two variables. Applications of these general summation formulas to various multivariable hypergeometric functions, and their further generalizations (and unifications) and q-extensions, are also considered. The main results (2.3), (4.5), (6.1), (6.2) and (6.12) below, and their special cases including (for example) (2.1), (3.1), (3.5), (3.8), (4.1), (4.3), (5.1), (5.3) to (5.6), (6.14), (6.15) and (6.18), are believed to be new.
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technical reports (mathematics and statistics)