Abstract
We obtain asymptotic formulas uniform with respect to the index p > 0 for the Hankel functions H (j)p (z) (j = 1, 2) for large |z| in the complex domain. These formulas generalize those known for the real argument.
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Original Russian Text © A.S. Makin, 2017, published in Differentsial’nye Uravneniya, 2017, Vol. 53, No. 6, pp. 724–729.
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Makin, A.S. Asymptotics of cylindrical functions in the complex domain: II. Diff Equat 53, 719–724 (2017). https://doi.org/10.1134/S0012266117060027
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DOI: https://doi.org/10.1134/S0012266117060027