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On the zeros of the hyper-Bessel function
Journal article   Peer reviewed

On the zeros of the hyper-Bessel function

H Chaggara and NBen Romdhane
Integral transforms and special functions, Vol.26(2), pp.96-101
01/02/2015
DOI: https://doi.org/10.1080/10652469.2014.973191

Abstract

Emission Entire functions Functions (mathematics) Integrals Mathematical analysis Origins Polynomials Transforms
In this work, we prove that the zeros of the hyper-Bessel function are located on [Image omitted.] rays emanating from the origin with the positive real axis as ray, and that the only d-orthogonal Jensen polynomials associated with an entire function in the Laguerre-Polya class are the d-orthogonal Laguerre polynomials.

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