An Introduction to Integral Transforms

DOI10.1201/9780429503580zbMath1393.44001OpenAlexW2889458113MaRDI QIDQ4603832

Baidyanath Patra

Publication date: 19 February 2018

Full work available at URL: https://doi.org/10.1201/9780429503580

zbMATH Keywords

Fourier transformLaplace transformMellin transformStieltjes transformintegral transformsordinary differential equationsHankel transformHilbert transforminitial value probleminverse Laplace transformboundary value problemLegendre transformpartial differential equationsinverse Fourier transformKontorovich-Lebedev transformMehler-Fock transformfinite Fourier transformfinite Hankel transformZ-transformJacobi transformHermite transformLaguerre transformfinite Laplace transformGegenbauer transform

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Mathematics for nonmathematicians (engineering, social sciences, etc.) (00A06) Mathematics in general (00A05) Initial value problems for linear first-order PDEs (35F10) Boundary value problems for functional-differential equations (34K10) Boundary value problems for nonlinear first-order PDEs (35F30) Boundary value problems on infinite intervals for ordinary differential equations (34B40) Boundary value problems for linear first-order PDEs (35F15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mathematics in general (00-01) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to integral transforms (44-01) Research exposition (monographs, survey articles) pertaining to mathematics in general (00-02)

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Mehler-Fock, Legendre Integral Transforms with Applications

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