A family of integral equations with restricted solutions

DOI10.1080/10652460902781612zbMath1232.45002OpenAlexW2007968542MaRDI QIDQ3644328

Arcadii Z. Grinshpan

Publication date: 4 November 2009

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652460902781612

zbMATH Keywords

hypergeometric functionsJacobi polynomialsLaguerre polynomialsconvolutionsweighted integral inequalitiesconfluent hypergeometric functionsVolterra equations of the first kind

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities for sums, series and integrals (26D15) Volterra integral equations (45D05) Classical hypergeometric functions, ({}_2F_1) (33C05) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

Volterra convolution equations: solution–kernel connection ⋮ The extended Laguerre polynomials \(\{A_{q, n}^{(\alpha)}(x)\}\) involving \(_qF_q\), \(q>2\) ⋮ Weighted norm inequalities for convolutions, differential operators, and generalized hypergeometric functions ⋮ Weighted inequalities and negative binomials

Cites Work

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• Weighted norm inequalities for analytic functions
• Weighted integral and integro-differential inequalities
• 1896--1996: One hundred years of Volterra integral equations of the first kind
• General inequalities, consequences and applications
• An integral recursive inequality and applications
• Inequalities for formal power series and entire functions
• Some hypergeometric summation formulas and series identities associated with exponential and trigonometric functions
• Some improvements over Love's inequality for the Laguerre function

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