Abstract
Transformation formulas of Euler and Kummer-type are derived respectively for the generalized hypergeometric functions r+2Fr+1(x) and r+1Fr+1(x), where r pairs of numeratorial and denominatorial parameters differ by positive integers. Certain quadratic transformations for the former function, as well as a summation theorem when x = 1, are also considered.
| Original language | English |
|---|---|
| Pages (from-to) | 291-327 |
| Number of pages | 37 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 43 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2013 |
Fingerprint
Cite this
Miller, A. R., & Paris, R. B. (2013). Transformation formulas for the generalized hypergeometric function with integral parameter differences. Rocky Mountain Journal of Mathematics, 43(1), 291-327. https://doi.org/10.1216/RMJ-2013-43-1-291