On Approximation and Computation of Modified Bessel
Functions
of Complex Order

Yu. M. Rappoport

Presented by Academician B.S. Kashin June 18, 2015

Received June 30, 2015

Abstract—Easy-to-compute approximations of modified Bessel functions for any complex order are found.
The case of two second-order differential equations with polynomial coefficients is considered. For approxi-
mately solving them, a scheme based on canonical vector-polynomials introduced by the author is proposed.
The functions under consideration are of significant interest in light of the introduction of a new class of
Yakubovich integral transforms.

DOI: 10.1134/S1064562416010117

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