Turán type inequalities for Struve functions
Copyright policy )Turán type inequalities for Struve functions
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.
10 pages
QA Mathematics / matematika, 39B62, 33C10, 42A05, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Mittag-Leffler expansion, Struve functions, Bessel functions, zeros of Struve functions, Mathematics - Classical Analysis and ODEs, infinite product representation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Turán type inequalities, Bessel and Airy functions, cylinder functions, \({}_0F_1\), QA74 Analysis / analízis
QA Mathematics / matematika, 39B62, 33C10, 42A05, Hypergeometric integrals and functions defined by them (\(E\), \(G\), \(H\) and \(I\) functions), Mittag-Leffler expansion, Struve functions, Bessel functions, zeros of Struve functions, Mathematics - Classical Analysis and ODEs, infinite product representation, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Turán type inequalities, Bessel and Airy functions, cylinder functions, \({}_0F_1\), QA74 Analysis / analízis
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