The radius of convexity of normalized Bessel functions
Classical Analysis and ODEs
2016-01-11 v1
Abstract
The radius of convexity of two normalized Bessel functions of the first kind are determined in the case when the order is between and Our methods include the minimum principle for harmonic functions, the Hadamard factorization of some Dini functions, properties of the zeros of Dini functions via Lommel polynomials and some inequalities for complex and real numbers.
Keywords
Cite
@article{arxiv.1501.06268,
title = {The radius of convexity of normalized Bessel functions},
author = {Árpád Baricz and Róbert Szász},
journal= {arXiv preprint arXiv:1501.06268},
year = {2016}
}
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6 pages