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 |
|---|---|
| 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 |
Fingerprint Dive into the research topics of 'An extension of Saalschütz's summation theorem for the series <sub><i>r</i>+3</sub>F<sub><i>r</i>+2</sub>'. Together they form a unique fingerprint.
Cite this
Kim, Y. S., Rathie, A. K., & Paris, R. B. (2013). An extension of Saalschütz's summation theorem for the series r+3Fr+2. Integral Transforms and Special Functions, 24(11), 916-921. https://doi.org/10.1080/10652469.2013.777721