Hypergeometric Functions with Integral Parameter Differences

Per W. Karlsson

doi:10.1063/1.1665587

Hypergeometric Functions with Integral Parameter Differences

Per W. Karlsson

Research output: Contribution to journal › Journal article › Research › peer-review

555 Downloads (Orbit)

Abstract

For a generalized hypergeometric function pFq(z) with positive integral differences between certain numerator and denominator parameters, a formula expressing the pFq(z) as a finite sum of lower-order functions is proved. From this formula, Minton's two summation theorems for p = q + 1, z = 1 are deduced, one of these under less restrictive conditions than assumed by Minton. ©1971 The American Institute of Physics

Original language	English
Journal	Journal of Mathematical Physics
Volume	12
Issue number	2
Pages (from-to)	270-271
ISSN	0022-2488
DOIs	https://doi.org/10.1063/1.1665587
Publication status	Published - 1971

Bibliographical note

Copyright (1971) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

Access to Document

10.1063/1.1665587

Full textFinal published version, 121 KB

OpenUrl availability

Full text

Cite this

@article{18fd3d4e616d42a8a7304ebd7dce94f1,

title = "Hypergeometric Functions with Integral Parameter Differences",

abstract = "For a generalized hypergeometric function pFq(z) with positive integral differences between certain numerator and denominator parameters, a formula expressing the pFq(z) as a finite sum of lower-order functions is proved. From this formula, Minton's two summation theorems for p = q + 1, z = 1 are deduced, one of these under less restrictive conditions than assumed by Minton. {\textcopyright}1971 The American Institute of Physics",

author = "Karlsson, \{Per W.\}",

note = "Copyright (1971) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.",

year = "1971",

doi = "10.1063/1.1665587",

language = "English",

volume = "12",

pages = "270--271",

journal = "Journal of Mathematical Physics",

issn = "0022-2488",

publisher = "American Institute of Physics",

number = "2",

}

TY - JOUR

T1 - Hypergeometric Functions with Integral Parameter Differences

AU - Karlsson, Per W.

N1 - Copyright (1971) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

PY - 1971

Y1 - 1971

N2 - For a generalized hypergeometric function pFq(z) with positive integral differences between certain numerator and denominator parameters, a formula expressing the pFq(z) as a finite sum of lower-order functions is proved. From this formula, Minton's two summation theorems for p = q + 1, z = 1 are deduced, one of these under less restrictive conditions than assumed by Minton. ©1971 The American Institute of Physics

AB - For a generalized hypergeometric function pFq(z) with positive integral differences between certain numerator and denominator parameters, a formula expressing the pFq(z) as a finite sum of lower-order functions is proved. From this formula, Minton's two summation theorems for p = q + 1, z = 1 are deduced, one of these under less restrictive conditions than assumed by Minton. ©1971 The American Institute of Physics

U2 - 10.1063/1.1665587

DO - 10.1063/1.1665587

M3 - Journal article

SN - 0022-2488

VL - 12

SP - 270

EP - 271

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 2

ER -

Hypergeometric Functions with Integral Parameter Differences

Abstract

Bibliographical note

Access to Document

OpenUrl availability

Fingerprint

Cite this