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arxiv: 1501.06173 · v1 · pith:TIROT4KBnew · submitted 2015-01-25 · 🧮 math.CA

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

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keywords transformationapproachcontiguousdifferentialequationformulaskummersecond
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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 ${}_1F_1$ using a differential equation approach.

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