### Abstract

Original language | English |
---|---|

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 |

### Fingerprint

### Cite this

*Integral Transforms and Special Functions*,

*23*(6), 435-444 . https://doi.org/10.1080/10652469.2011.597390

}

*Integral Transforms and Special Functions*, vol. 23, no. 6, pp. 435-444 . https://doi.org/10.1080/10652469.2011.597390

**On a new class of summation formulae involving the Laguerre polynomial.** / Kim, Yong S.; Rathie, Arjun K.; Paris, Richard B.

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 -