Abstract
The aim in this research note is to provide an extension of Saalschütz's summation theorem for the series r+3Fr+2(1) when r pairs of numeratorial and denominatorial parameters differ by positive integers. The result is obtained by exploiting a generalization of an Euler-type transformation recently derived by Miller and Paris [Transformation formulas for the generalized hypergeometric function with integral parameter differences. Rocky Mountain J Math. 2013;43, to appear].
Original language | English |
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Pages (from-to) | 916-921 |
Number of pages | 6 |
Journal | Integral Transforms and Special Functions |
Volume | 24 |
Issue number | 11 |
Early online date | 16 May 2013 |
DOIs | |
Publication status | Published - 2013 |
Keywords
- Generalized hypergeometric series
- Unit argument
- Saalschütz's theorem