The expansion of the confluent hypergeometric function on the positive real axis

R. B. Paris

Research output: Contribution to journalArticle

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Abstract

The asymptotic expansion of the Kummer function 1F1(a; b; z) is examined as z → +∞ on the Stokes line arg z = 0. The correct form of the subdominant algebraic contribution is obtained for non-integer a. Numerical results demonstrating the accuracy of the expansion are given.
Original languageEnglish
Pages (from-to)19-26
Number of pages8
JournalApplied Mathematical Sciences
Volume12
Issue number1
DOIs
Publication statusPublished - 5 Jan 2018

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Kummer Function
Confluent Hypergeometric Function
Stokes
Asymptotic Expansion
Numerical Results
Line
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The expansion of the confluent hypergeometric function on the positive real axis. / Paris, R. B.

In: Applied Mathematical Sciences, Vol. 12, No. 1, 05.01.2018, p. 19-26.

Research output: Contribution to journalArticle

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AB - The asymptotic expansion of the Kummer function 1F1(a; b; z) is examined as z → +∞ on the Stokes line arg z = 0. The correct form of the subdominant algebraic contribution is obtained for non-integer a. Numerical results demonstrating the accuracy of the expansion are given.

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