Inequalities for some integrals involving modified Lommel functions of the first kind

DOI10.1007/s00025-019-1136-2zbMath1443.33007arXiv1901.08529OpenAlexW2991650986WikidataQ126666951 ScholiaQ126666951MaRDI QIDQ2302200

Robert E. Gaunt

Publication date: 25 February 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1901.08529

zbMATH Keywords

integral inequalitymodified Lommel function

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Generalized hypergeometric series, ({}_pF_q) (33C20)

Related Items (2)

Bounds for an integral involving the modified lommel function of the first kind ⋮ Functional inequalities and monotonicity results for modified Lommel functions of the first kind

Uses Software

• DLMF

Cites Work

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• Bounds for the generalized Marcum \(Q\)-function
• Inequalities for integrals of the modified Struve function of the first kind. II.
• Inequalities for integrals of the modified Struve function of the first kind
• Stress distribution in rotating aeolotropic laminated heterogeneous disc under action of a time-dependent loading
• Malliavin-Stein method for variance-gamma approximation on Wiener space
• Inequalities for integrals of modified Bessel functions and expressions involving them
• Inequalities for modified Bessel functions and their integrals
• Bounds for modified Lommel functions of the first kind and their ratios
• Variance-gamma approximation via Stein's method
• The special functions and their approximations. Vol. I, II
• Normal Approximations with Malliavin Calculus
• Functional inequalities for modified Struve functions
• Turán-Type Inequalities for Some Lommel Functions of the First Kind
• Normal Approximation by Stein’s Method
• The inverse Laplace transform of the modified Lommel functions
• New Bounds for the Generalized Marcum $Q$-Function
• Inequalities for some integrals involving modified Bessel functions
• Lommel functions with imaginary argument
• On the Integral Representations of the Lommel Functions

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