Asymptotics of cylindrical functions in the complex domain: I

We obtain asymptotic formulas uniform with respect to the index p > 0 for the Hankel functions H p ( j ) ( z ) ( j = 1, 2) for large | z | in the complex domain. These formulas generalize those well known for the real argument.

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Bibliographic Details
Published inDifferential equations Vol. 53; no. 5; pp. 595 - 606
Main Author Makin, A. S.
Format Journal Article
LanguageEnglish
Published Moscow Pleiades Publishing 01.05.2017
Springer Nature B.V
Subjects
Asymptotic methods
Asymptotic properties
Difference and Functional Equations
Differential equations
Hankel functions
Mathematical analysis
Mathematics
Mathematics and Statistics
Ordinary Differential Equations
Partial Differential Equations
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Summary:We obtain asymptotic formulas uniform with respect to the index p > 0 for the Hankel functions H p ( j ) ( z ) ( j = 1, 2) for large | z | in the complex domain. These formulas generalize those well known for the real argument.
ISSN:0012-2661
1608-3083
DOI:10.1134/S0012266117050032