Positive trigonometric integrals associated with some Lommel functions of the first kind

DOI10.1007/s00009-016-0821-6zbMath1362.33001OpenAlexW2562636284MaRDI QIDQ523654

Stamatis Koumandos

Publication date: 21 April 2017

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-016-0821-6

zbMATH Keywords

inequalitiestrigonometric integralszerosmonotonicity propertiesLommel functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Exponential and trigonometric functions (33B10)

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Cites Work

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• On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture
• On asymptotic expansions of generalized Stieltjes functions
• The zeros of certain Lommel functions
• Turán-Type Inequalities for Some Lommel Functions of the First Kind
• Positive Integrals of Bessel Functions
• The Sign of Lommel's Function
• Inequalities for the Zeros of Legendre Polynomials and Related Functions
• The Stieltjes Transform
• What is the Laplace Transform?