Abstract
| 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 |
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An extension of Saalschütz's summation theorem for the series r+3Fr+2. / Kim, Yong S.; Rathie, Arjun K.; Paris, Richard B.
In: Integral Transforms and Special Functions, Vol. 24, No. 11, 2013, p. 916-921.Research output: Contribution to journal › Article
TY - JOUR
T1 - An extension of Saalschütz's summation theorem for the series r+3Fr+2
AU - Kim, Yong S.
AU - Rathie, Arjun K.
AU - Paris, Richard B.
PY - 2013
Y1 - 2013
N2 - 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].
AB - 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].
U2 - 10.1080/10652469.2013.777721
DO - 10.1080/10652469.2013.777721
M3 - Article
VL - 24
SP - 916
EP - 921
JO - Integral Transforms and Special Functions
JF - Integral Transforms and Special Functions
SN - 1065-2469
IS - 11
ER -