Email this article On approximation and computation of modified Bessel functions of complex order
- Authors: Rappoport Y.M.1
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Affiliations:
- Institute of Computer-Aided Design
- Issue: Vol 93, No 1 (2016)
- Pages: 27-30
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/223355
- DOI: https://doi.org/10.1134/S1064562416010117
- ID: 223355
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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 approximately 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.
About the authors
Yu. M. Rappoport
Institute of Computer-Aided Design
Author for correspondence.
Email: jmrap@landau.ac.ru
Russian Federation, 2-ya Brestskaya ul. 19/18, Moscow, 123056
