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arXiv · 1306.5328

Remarks on Slater's asymptotic expansions of Kummer functions for large values of the $a-$parameter

Nico M Temme
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Abstract

In Slater's 1960 standard work on confluent hypergeometric functions, also called Kummer functions, a number of asymptotic expansions of these functions can be found. We summarize expansions derived from a differential equation for large values of the $a-$parameter. We show how similar expansions can be derived by using integral representations, and we observe discrepancies with Slater's expansions.

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Nico M Temme. 2013-06-22. Remarks on Slater's asymptotic expansions of Kummer functions for large values of the $a-$parameter. https://arxiv.org/abs/1306.5328

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