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

Research output: Contribution to journal › Article

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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 languageEnglish
Pages (from-to)225-230
Number of pages6
JournalMathematica Aeterna
Volume5
Issue number1
Publication statusPublished - 2015

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Confluent Hypergeometric Function
Transformation Formula
Differential equation
Alternatives
Theorem

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Kodavanji, S. ; Rathie, A. K. ; Paris, R. B. / A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach. In: Mathematica Aeterna. 2015 ; Vol. 5, No. 1. pp. 225-230.
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Kodavanji, S, Rathie, AK & Paris, RB 2015, 'A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach', Mathematica Aeterna, vol. 5, no. 1, pp. 225-230.

A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach. / Kodavanji, S.; Rathie, A. K.; Paris, R. B.

In: Mathematica Aeterna, Vol. 5, No. 1, 2015, p. 225-230.

Research output: Contribution to journal › Article

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AU - Kodavanji, S.

AU - Rathie, A. K.

AU - Paris, R. B.

PY - 2015

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AB - 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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SP - 225

EP - 230

JO - Mathematica Aeterna

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Kodavanji S, Rathie AK, Paris RB. A derivation of two transformation formulas contiguous to that of Kummer’s second theorem via a differential equation approach. Mathematica Aeterna. 2015;5(1):225-230.

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