Tur\'an type inequalities for regular Coulomb wave functions
Classical Analysis and ODEs
2016-01-11 v1
Abstract
Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest. Moreover, some complete monotonicity results concerning the Coulomb zeta functions and some interlacing properties of the zeros of Coulomb wave functions are given.
Keywords
Cite
@article{arxiv.1504.06448,
title = {Tur\'an type inequalities for regular Coulomb wave functions},
author = {Árpád Baricz},
journal= {arXiv preprint arXiv:1504.06448},
year = {2016}
}
Comments
11 pages