Two-sided inequalities for the Struve and Lommel functions

DOI10.2989/16073606.2017.1419298zbMath1404.26020OpenAlexW2789347568MaRDI QIDQ4562712

Bayram Çekim, Ayman Shehata, Hari M. Srivastava

Publication date: 18 December 2018

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2017.1419298

zbMATH Keywords

gamma functionconfluent hypergeometric functionsStruve functionsPochhammer symbolLommel functionsMellin-Barnes contour integralgeneralized hypergeometric function \(_p F_q\)associated and modified Struve functionsmodified and normalized Lommel functions

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Generalized hypergeometric series, ({}_pF_q) (33C20) Inequalities in the complex plane (30A10) Inequalities involving other types of functions (26D07)

Related Items (2)

Functional inequalities and monotonicity results for modified Lommel functions of the first kind ⋮ Bounds for modified Lommel functions of the first kind and their ratios

Cites Work

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• Geometric properties of some Lommel and Struve functions
• Two-sided inequalities for the extended Hurwitz-Lerch zeta function
• Inequalities for a unified family of Voigt functions in several variables
• Some inequalities for the Gauss and Kummer hypergeometric functions
• Inequalities for confluent hypergeometric functions of two and three variables
• Inequalities for some special functions
• Inequalities for Humbert functions
• Some bounding inequalities for the Jacobi and related functions
• Some two-sided inequalities for multiple Gamma functions and related results
• The special functions and their approximations. Vol. I, II
• Inequalities for generalized hypergeometric functions
• Partial sums of the normalized Lommel functions
• Inequalities and monotonicity properties for the psi (or digamma) function and estimates for the Euler–Mascheroni constant
• Some two-sided bounding inequalities for the Butzer-Flocke-Hauss omega function
• Inequalities for Certain Hypergeometric Functions
• The inverse Laplace transform of the modified Lommel functions
• On Lommel and Bessel Polynomials

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