### Abstract

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

Pages (from-to) | 21-33 |

Number of pages | 13 |

Journal | Integral Transforms and Special Functions |

Volume | 23 |

Issue number | 1 |

DOIs | |

State | Published - 2012 |

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*Integral Transforms and Special Functions*,

*23*(1), 21-33. DOI: 10.1080/10652469.2011.552263

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*Integral Transforms and Special Functions*, vol 23, no. 1, pp. 21-33. DOI: 10.1080/10652469.2011.552263

**Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x).** / Miller, A. R.; Paris, Richard B.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Clausen's series 3F2(1) with integral parameter differences and transformations of the hypergeometric function 2F2(x)

AU - Miller,A. R.

AU - Paris,Richard B.

PY - 2012

Y1 - 2012

N2 - We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer. The results derived for the latter are used to obtain Kummer-type transformations for the generalized hypergeometric function 2 F 2(x) and reduction formulas for certain Kampé de Fériet functions. Certain summations for the partial sums of the Gauss hypergeometric series 2 F 1(1) are also obtained.

AB - We obtain summation formulas for the hypergeometric series 3 F 2(1) with at least one pair of numeratorial and denominatorial parameters differing by a negative integer. The results derived for the latter are used to obtain Kummer-type transformations for the generalized hypergeometric function 2 F 2(x) and reduction formulas for certain Kampé de Fériet functions. Certain summations for the partial sums of the Gauss hypergeometric series 2 F 1(1) are also obtained.

U2 - 10.1080/10652469.2011.552263

DO - 10.1080/10652469.2011.552263

M3 - Article

VL - 23

SP - 21

EP - 33

JO - Integral Transforms and Special Functions

T2 - Integral Transforms and Special Functions

JF - Integral Transforms and Special Functions

SN - 1065-2469

IS - 1

ER -