Abstract
We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer. The results derived for the latter are used to obtain Kummer-type transformations for the generalized hypergeometric function 2 F 2(x) and reduction formulas for certain Kampé de Fériet functions. Certain summations for the partial sums of the Gauss hypergeometric series 2 F 1(1) are also obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 21-33 |
| Number of pages | 13 |
| Journal | Integral Transforms and Special Functions |
| Volume | 23 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2012 |
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Miller, A. R., & Paris, R. B. (2012). Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x). Integral Transforms and Special Functions, 23(1), 21-33. https://doi.org/10.1080/10652469.2011.552263