Turán type inequalities for Struve functions

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• 作者：Á ; rpá ; d Baricz^a ; ^b ; ^{bariczocsi@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; Saminathan Ponnusamy^c ; ^{samy@iitm.ac.in" class="auth_mail" title="E-mail the corresponding author} ; Sanjeev Singh^d ; ^{sanjeevsinghiitm@gmail.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Struve functions ; Zeros of Struve functions ; Turá ; n type inequalities ; Infinite product representation ; Bessel functions ; Mittag&ndash ; Leffler expansion
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：445
• 期：1
• 页码：971-984
• 全文大小：361 K

文摘

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.