Abstract
Original language | English |
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Pages (from-to) | 435-444 |
Number of pages | 10 |
Journal | Integral Transforms and Special Functions |
Volume | 23 |
Issue number | 6 |
DOIs | |
Publication status | Published - 2012 |
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On a new class of summation formulae involving the Laguerre polynomial. / Kim, Yong S.; Rathie, Arjun K.; Paris, Richard B.
In: Integral Transforms and Special Functions, Vol. 23, No. 6, 2012, p. 435-444 .Research output: Contribution to journal › Article
TY - JOUR
T1 - On a new class of summation formulae involving the Laguerre polynomial
AU - Kim, Yong S.
AU - Rathie, Arjun K.
AU - Paris, Richard B.
PY - 2012
Y1 - 2012
N2 - By elementary manipulation of series, a general transformation involving the generalized hypergeometric function is established. Kummer’s first theorem, the classical Gauss summation theorem and the generalized Kummer summation theorem due to Lavoie et al. [Generalizations of Whipple’s theorem on the sum of a 3 F 2, J. Comput. Appl. Math. 72 (1996), pp. 293–300] are then applied to obtain a new class of summation formulae involving the Laguerre polynomial, which have not previously appeared in the literature. Several related results due to Exton have also been given in a corrected form.
AB - By elementary manipulation of series, a general transformation involving the generalized hypergeometric function is established. Kummer’s first theorem, the classical Gauss summation theorem and the generalized Kummer summation theorem due to Lavoie et al. [Generalizations of Whipple’s theorem on the sum of a 3 F 2, J. Comput. Appl. Math. 72 (1996), pp. 293–300] are then applied to obtain a new class of summation formulae involving the Laguerre polynomial, which have not previously appeared in the literature. Several related results due to Exton have also been given in a corrected form.
U2 - 10.1080/10652469.2011.597390
DO - 10.1080/10652469.2011.597390
M3 - Article
VL - 23
SP - 435
EP - 444
JO - Integral Transforms and Special Functions
JF - Integral Transforms and Special Functions
SN - 1065-2469
IS - 6
ER -