Abstract
| Original language | English |
|---|---|
| Pages (from-to) | 31–45 |
| Number of pages | 15 |
| Journal | Zeitschrift fur Angewandte Mathematik und Physik |
| Volume | 62 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Feb 2011 |
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Euler-type transformations for the generalized hypergeometric function r+2Fr+1(x). / Miller, A. R.; Paris, Richard B.
In: Zeitschrift fur Angewandte Mathematik und Physik, Vol. 62, No. 1, 02.2011, p. 31–45.Research output: Contribution to journal › Article
TY - JOUR
T1 - Euler-type transformations for the generalized hypergeometric function r+2Fr+1(x)
AU - Miller, A. R.
AU - Paris, Richard B.
PY - 2011/2
Y1 - 2011/2
N2 - We provide generalizations of two of Euler’s classical transformation formulas for the Gauss hypergeometric function extended to the case of the generalized hypergeometric function r+2 F r+1(x) when there are additional numeratorial and denominatorial parameters differing by unity. The method employed to deduce the latter is also implemented to obtain a Kummer-type transformation formula for r+1 F r+1 (x) that was recently derived in a different way.
AB - We provide generalizations of two of Euler’s classical transformation formulas for the Gauss hypergeometric function extended to the case of the generalized hypergeometric function r+2 F r+1(x) when there are additional numeratorial and denominatorial parameters differing by unity. The method employed to deduce the latter is also implemented to obtain a Kummer-type transformation formula for r+1 F r+1 (x) that was recently derived in a different way.
U2 - 10.1007/s00033-010-0085-0
DO - 10.1007/s00033-010-0085-0
M3 - Article
VL - 62
SP - 31
EP - 45
JO - Zeitschrift fur Angewandte Mathematik und Physik
JF - Zeitschrift fur Angewandte Mathematik und Physik
SN - 0044-2275
IS - 1
ER -