Previous article Next article The Laguerre TransformJoseph McCullyJoseph McCullyhttps://doi.org/10.1137/1002040PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] A. Erdélyi, Higher Transcendental Functions, Vol. 2, McGraw-Hill Book Co., New York, 1954 Google Scholar[2] James V. Uspensky, On the development of arbitrary functions in series of Hermite's and Laguerre's polynomials, Ann. of Math. (2), 28 (1926/27), 593–619 MR1502809 CrossrefGoogle Scholar[3] Einar Hille, Functional Analysis and Semi-Groups, American Mathematical Society Colloquium Publications, vol. 31, American Mathematical Society, New York, 1948, 416– MR0025077 0033.06501 Google Scholar[4] H. Bateman, Partial Differential Equations of Mathematical Physics, Dover Publications, New York, N.Y., 1944xii+522 MR0010909 Google Scholar[5] Ruel V. Churchill, Fourier Series and Boundary Value Problems, McGraw-Hill Book Company, Inc., New York and London, 1941ix+206 MR0003251 0025.05403 Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Quantum Models à la Gabor for the Space-Time Metric16 June 2022 | Entropy, Vol. 24, No. 6 Cross Ref Thermoelastic response of a nonhomogeneous elliptic plate in the framework of fractional order theory3 May 2021 | Archive of Applied Mechanics, Vol. 91, No. 7 Cross Ref On the Padé and Laguerre–Tricomi–Weeks Moments Based Approximations of the Scale Function W and of the Optimal Dividends Barrier for Spectrally Negative Lévy Risk Processes11 December 2019 | Risks, Vol. 7, No. 4 Cross Ref Fractional singular Sturm-Liouville problems on the half-line4 October 2017 | Advances in Difference Equations, Vol. 2017, No. 1 Cross Ref Numerical solution of the Dirichlet initial boundary value problem for the heat equation in exterior 3-dimensional domains using integral equations4 April 2016 | Journal of Engineering Mathematics, Vol. 103, No. 1 Cross Ref Exact performance of wireless multihop transmission for M-ary coherent modulations over generalized gamma fading channels Cross Ref Bibliography21 January 2010 Cross Ref On a hybrid laguerre-fourier transformIntegral Transforms and Special Functions, Vol. 10, No. 3-4 Cross Ref Theory of the optical properties of excitons in a homogeneous magnetic fieldChemical Physics, Vol. 210, No. 1-2 Cross Ref On the dual of a commutative signed hypergroupManuscripta Mathematica, Vol. 88, No. 1 Cross Ref Semiconductor Bloch equations in a homogeneous magnetic field15 September 1995 | Physical Review B, Vol. 52, No. 11 Cross Ref L Cross Ref L Cross Ref References Cross Ref A convolution structure for Laguerre seriesIndagationes Mathematicae (Proceedings), Vol. 85, No. 2 Cross Ref An integral transform method for the linearized Boussinesq Groundwater Flow Equation9 July 2010 | Water Resources Research, Vol. 17, No. 4 Cross Ref Operational calculusJournal of Soviet Mathematics, Vol. 15, No. 6 Cross Ref Estimates for the norm of the laguerre translation operator15 May 2007 | Numerical Functional Analysis and Optimization, Vol. 1, No. 2 Cross Ref The Addition Formula for Laguerre PolynomialsTom Koornwinder17 February 2012 | SIAM Journal on Mathematical Analysis, Vol. 8, No. 3AbstractPDF (503 KB)Positivity and Special Functions Cross Ref On the expansion of a polynomial of the operator BαUSSR Computational Mathematics and Mathematical Physics, Vol. 3, No. 1 Cross Ref Volume 2, Issue 3| 1960SIAM Review History Submitted:27 April 1959Published online:18 July 2006 InformationCopyright © 1960 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/1002040Article page range:pp. 185-191ISSN (print):0036-1445ISSN (online):1095-7200Publisher:Society for Industrial and Applied Mathematics