Turán type inequalities for Struve functions

A. Baricz, Saminathan Ponnusamy, Sanjeev Singh

Research output: Contribution to journalArticle

7 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)971-984
Number of pages14
JournalJournal of Mathematical Analysis and Applications
Volume445
Issue number1
DOIs
Publication statusPublished - Jan 1 2017

Fingerprint

Complete Monotonicity
Neumann function
Bessel function of the first kind
Functional Inequalities
Bessel functions
Infinite product
Complement

Keywords

  • Bessel functions
  • Infinite product representation
  • Mittag–Leffler expansion
  • Struve functions
  • Turán type inequalities
  • Zeros of Struve functions

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

Cite this

Turán type inequalities for Struve functions. / Baricz, A.; Ponnusamy, Saminathan; Singh, Sanjeev.

In: Journal of Mathematical Analysis and Applications, Vol. 445, No. 1, 01.01.2017, p. 971-984.

Research output: Contribution to journalArticle

Baricz, A. ; Ponnusamy, Saminathan ; Singh, Sanjeev. / Turán type inequalities for Struve functions. In: Journal of Mathematical Analysis and Applications. 2017 ; Vol. 445, No. 1. pp. 971-984.
@article{86430d6cb0b24066a2de0eacabc12f90,
title = "Tur{\'a}n type inequalities for Struve functions",
abstract = "Some Tur{\'a}n 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.",
keywords = "Bessel functions, Infinite product representation, Mittag–Leffler expansion, Struve functions, Tur{\'a}n type inequalities, Zeros of Struve functions",
author = "A. Baricz and Saminathan Ponnusamy and Sanjeev Singh",
year = "2017",
month = "1",
day = "1",
doi = "10.1016/j.jmaa.2016.08.026",
language = "English",
volume = "445",
pages = "971--984",
journal = "Journal of Mathematical Analysis and Applications",
issn = "0022-247X",
publisher = "Academic Press Inc.",
number = "1",

}

TY - JOUR

T1 - Turán type inequalities for Struve functions

AU - Baricz, A.

AU - Ponnusamy, Saminathan

AU - Singh, Sanjeev

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

AB - 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.

KW - Bessel functions

KW - Infinite product representation

KW - Mittag–Leffler expansion

KW - Struve functions

KW - Turán type inequalities

KW - Zeros of Struve functions

UR - http://www.scopus.com/inward/record.url?scp=84984837717&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84984837717&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2016.08.026

DO - 10.1016/j.jmaa.2016.08.026

M3 - Article

AN - SCOPUS:84984837717

VL - 445

SP - 971

EP - 984

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

SN - 0022-247X

IS - 1

ER -