Axially Symmetric Potentials and Fractional Integration

Previous article Next article Axially Symmetric Potentials and Fractional IntegrationA. ErdélyiA. Erdélyihttps://doi.org/10.1137/0113014PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] Alexander Weinstein, Generalized axially symmetric potential theory, Bull. Amer. Math. Soc., 59 (1953), 20–38 MR0053289 0053.25303 CrossrefISIGoogle Scholar[2] N. O. Pahareva and , N. O. Vīrčenko, Some integral transformations in the class of $x\sp{k}$-analytic functions, Dopovidi Akad. Nauk Ukraïn. RSR, 1962 (1962), 998–1003, (Ukrainian) MR0145091 Google Scholar[3] A. Erdélyi, The analytic theory of systems of partial differential equations, Bull. Amer. Math. Soc., 57 (1951), 339–353 MR0043989 0044.09303 CrossrefISIGoogle Scholar[4] A. Erdélyi, An integral equation involving Legendre functions, J. Soc. Indust. Appl. Math., 12 (1964), 15–30 MR0164215 0178.14401 LinkISIGoogle Scholar[5] G. N. Watson, Theory of Bessel Functions, Cambridge University Press, Cambridge, 1922 Google Scholar[6] A. Erdélyi, An application of fractional integrals, J. Analyse Math., 14 (1965), 113–126 MR0179372 0135.33801 CrossrefGoogle Scholar[7] G. Latta, A note on axially symmetric potentials, (to appear) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Asymptotic Evaluation of Fractional Integral Operators with ApplicationsNeil Berger and Richard Handelsman17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 6, No. 5AbstractPDF (610 KB)A Further Extension of the Leibniz Rule to Fractional Derivatives and Its Relation to Parseval’s FormulaThomas J. Osler17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 3, No. 1AbstractPDF (1248 KB)Taylor’s Series Generalized for Fractional Derivatives and ApplicationsThomas J. Osler17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 2, No. 1AbstractPDF (1004 KB)Leibniz Rule for Fractional Derivatives Generalized and an Application to Infinite SeriesThomas J. Osler1 August 2006 | SIAM Journal on Applied Mathematics, Vol. 18, No. 3AbstractPDF (1162 KB)The Fractional Derivative of a Composite FunctionThomas J. Osler17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 1, No. 2AbstractPDF (491 KB) Volume 13, Issue 1| 1965Journal of the Society for Industrial and Applied Mathematics History Submitted:01 June 1964Published online:17 July 2006 InformationCopyright © 1965 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0113014Article page range:pp. 216-228ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics

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