Turan type inequalities for Struve functions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:445

Article

Baricz, Arpad^1,2  Ponnusamy, Saminathan³  Singh, Sanjeev⁴ 

[1] Obuda Univ, Inst Appl Math, H-1034 Budapest, Hungary

[2] Univ Babes Bolyai, Dept Econ, Cluj Napoca 400591, Romania

[3] Indian Stat Inst, Chennai Ctr, Soc Elect Transact & Secur, CIT Campus, Madras 600113, Tamil Nadu, India

[4] Indian Inst Technol Madras, Dept Math, Madras 600036, Tamil Nadu, India

关键词: Struve functions;    Zeros of Struve functions;    Turan type inequalities;    Infinite product representation;    Bessel functions;    Mittag-Leffler expansion;   

DOI  :  10.1016/j.jmaa.2016.08.026

来源: Elsevier

【 摘 要 】

Some Turan type inequalities for Struve functions of the first kind are deduced by using various methods developed in the case of Bessel functions of the first and second kind. New formulas, like Mittag-Leffler expansion, infinite product representation for Struve functions of the first kind, are obtained, which may be of independent interest. Moreover, some complete monotonicity results and functional inequalities are deduced for Struve functions of the second kind. These results complement naturally the known results for a particular case of Lommel functions of the first kind, and for modified Struve functions of the first and second kind. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free