Convolution Equations with Generalized Laguerre Polynomial Kernels

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Previous article Next article Convolution Equations with Generalized Laguerre Polynomial KernelsR. G. BuschmanR. G. Buschmanhttps://doi.org/10.1137/1006035PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout"Convolution Equations with Generalized Laguerre Polynomial Kernels." SIAM Review, 6(2), pp. 166–167[1] Arthur Erdélyi, Operational calculus and gereralized functions, Holt, Rinehart and Winston, New York, 1962viii+103 MR0142990 0123.09502 Google Scholar[2A] A. Erdélyi, Higher transcendental functions, Vol. 1, McGraw-Hill, New York, 1953 0051.30303 Google Scholar[2B] A. Erdélyi, Higher transcendental functions, Vol. 2, McGraw-Hill, New York, 1953 0052.29502 Google Scholar[3] A. Erdélyi, , W. Magnus, , F. Oberhettinger and , F. G. Tricomi, Tables of integral transforms. Vol. I, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1954xx+391 MR0061695 0055.36401 Google Scholar[4] D. V. Widder, The inversion of a convolution transform whose kernel is a Laguerre polynomial, Amer. Math. Monthly, 70 (1963), 291–293 MR0149207 0118.31903 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Certain implementations in fractional calculus operators involving Mittag-Leffler-confluent hypergeometric functionsProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 478, No. 2258 | 9 February 2022 Cross Ref Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric FunctionFractal and Fractional, Vol. 5, No. 4 | 29 September 2021 Cross Ref An analytical study on Mittag‐Leffler–confluent hypergeometric functions with fractional integral operatorMathematical Methods in the Applied Sciences, Vol. 44, No. 5 | 15 October 2020 Cross Ref An integral equation involving the confluent hypergeometric function of several complex variables †Applicable Analysis, Vol. 5, No. 4 | 10 May 2007 Cross Ref Decomposition of an Integral Operator by Use of Mikusiński CalculusR. G. BuschmanSIAM Journal on Mathematical Analysis, Vol. 3, No. 1 | 17 February 2012AbstractPDF (219 KB)Two singular integral equations involving confluent hypergeometric functionsMathematical Proceedings of the Cambridge Philosophical Society, Vol. 66, No. 1 | 24 October 2008 Cross Ref Convolution Transforms Whose Inversions have the Same KernelD. O. ReudinkSIAM Review, Vol. 9, No. 4 | 18 July 2006AbstractPDF (340 KB)Some integral equations involving finite parts of divergent integralsGlasgow Mathematical Journal, Vol. 8, No. 1 | 18 May 2009 Cross Ref Volume 6, Issue 2| 1964SIAM Review111-202 History Submitted:23 July 1963Published online:18 July 2006 InformationCopyright © 1964 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1006035Article page range:pp. 166-167ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics