A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach

S. Kodavanji; A. K. Rathie; R. B. Paris

A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach

S. Kodavanji, A. K. Rathie, R. B. Paris

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Abstract

The purpose of this note is to provide an alternative proof of two transformation formulas contiguous to that of Kummer’s second transformation for the confluent hypergeometric function 1F1 using a differential equation approach.

Original language	English
Pages (from-to)	225-230
Number of pages	6
Journal	Mathematica Aeterna
Volume	5
Issue number	1
Publication status	Published - 2015

Keywords

Confluent hypergeometric function
Kummer’s second theorem
Hypergeometric differential equation

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title = "A derivation of two transformation formulas contiguous to that of Kummer{\textquoteright}s second theorem via a differential equation approach",

abstract = "The purpose of this note is to provide an alternative proof of two transformation formulas contiguous to that of Kummer{\textquoteright}s second transformation for the confluent hypergeometric function 1F1 using a differential equation approach.",

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AU - Rathie, A. K.

AU - Paris, R. B.

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N2 - The purpose of this note is to provide an alternative proof of two transformation formulas contiguous to that of Kummer’s second transformation for the confluent hypergeometric function 1F1 using a differential equation approach.

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M3 - Article

SN - 1314-3344

VL - 5

SP - 225

EP - 230

JO - Mathematica Aeterna

JF - Mathematica Aeterna

IS - 1

ER -

A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach

Abstract

Keywords

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