Published 2019-08-28
Keywords
- Bessel polynomials,
- Bessel functions,
- Tur´an-type inequality,
- Generalized Inverse Gaussian distribution
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
How to Cite
About some identities for Bessel polynomials. (2019). Scientia Series A: Mathematical Sciences, 29, 29-36. https://revistas.usm.cl/scientia/article/view/46
Abstract
In the paper [1], Yu. A. Brychkov derived a set of identities for multiple sums of special functions, using generating functions. Among these identities, a particularly interesting one involves multiple sums of Bessel Iν functions with half-integer indices. We derive here some equivalent identities that involve different kinds of Bessel polynomials, using a probabilistic approach based on the properties of the Generalized Inverse Gaussian probability density
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