Turan type inequalities for regular Coulomb wave functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:430

Article

Baricz, Arpad^1,2 

[1] Obuda Univ, Inst Appl Math, Budapest, Hungary

[2] Univ Babes Bolyai, Dept Econ, R-3400 Cluj Napoca, Romania

关键词: Coulomb wave functions;    Mittag-Leffler expansion;    Turan, Mitrinovic-Adamovic, Wilker type inequality;    Coulomb zeta functions;    Complete monotonicity;    Interlacing property of zeros;   

DOI  :  10.1016/j.jmaa.2015.04.082

来源: Elsevier

【 摘 要 】

Turin, Mitrinovic-Adamovic 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. (C) 2015 Elsevier Inc. All rights reserved.

【 授权许可】

Free