Exponentially small expansions of the confluent hypergeometric functions

Richard B. Paris

Research output: Contribution to journalArticle

4 Citations (Scopus)
43 Downloads (Pure)

Abstract

The asymptotic expansions of the confluent hypergeometric functions 1F1(a; b; z) and U(a, b, z) are examined as |z|→∞ on the Stokes lines arg z = ±π. Particular attention is given to the exponentially small contributions associated with these two functions. Numerical results demonstrating the accuracy of the expansions are given.
Original languageEnglish
Pages (from-to)6601-6609
Number of pages9
JournalApplied Mathematical Sciences
Volume7
Issue number133
DOIs
Publication statusPublished - 2013

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