### Abstract

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

Pages (from-to) | 205-210 |

Number of pages | 6 |

Journal | Mathematical Communications |

Volume | 17 |

Issue number | 1 |

Publication status | Published - 2012 |

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*Mathematical Communications*,

*17*(1), 205-210.

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*Mathematical Communications*, vol. 17, no. 1, pp. 205-210.

**On a result related to transformations and summations of generalized hypergeometric series.** / Miller, A. R.; Paris, Richard B.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On a result related to transformations and summations of generalized hypergeometric series

AU - Miller, A. R.

AU - Paris, Richard B.

PY - 2012

Y1 - 2012

N2 - We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing by positive integers. The expansion alluded to is given in terms of these coefficients and hypergeometric functions of lower order. Applications to Euler and Kummer-type transformations of a subclass of the generalized hypergeometric functions mentioned above together with an extension of the Karlsson-Minton summation formula are provided.

AB - We deduce an explicit representation for the coefficients in a finite expansion of a certain class of generalized hypergeometric functions that contain multiple pairs of numeratorial and denominatorial parameters differing by positive integers. The expansion alluded to is given in terms of these coefficients and hypergeometric functions of lower order. Applications to Euler and Kummer-type transformations of a subclass of the generalized hypergeometric functions mentioned above together with an extension of the Karlsson-Minton summation formula are provided.

M3 - Article

VL - 17

SP - 205

EP - 210

JO - Mathematical Communications

JF - Mathematical Communications

SN - 1331-0623

IS - 1

ER -