Turán type inequalities for Struve functions

Authors

Árpád Baricz, Obuda University
Saminathan Ponnusamy, Indian Statistical Institute Chennai
Sanjeev Singh, Indian Institute of Technology Madras

Article Type

Research Article

Publication Title

Journal of Mathematical Analysis and Applications

Abstract

Some Turán 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.

First Page

971

Last Page

984

DOI

10.1016/j.jmaa.2016.08.026

Publication Date

1-1-2017

Comments

Open Access, Bronze, Green

Recommended Citation

Baricz, Árpád; Ponnusamy, Saminathan; and Singh, Sanjeev, "Turán type inequalities for Struve functions" (2017). Journal Articles. 2808.
https://digitalcommons.isical.ac.in/journal-articles/2808