Fourier eigenfunction expansion
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4 matching pages
1: 1.18 Linear Second Order Differential Operators and Eigenfunction Expansions
2: Bibliography T
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Some definite integrals and Fourier series for Jacobian elliptic functions.
Z. Angew. Math. Mech. 49, pp. 95–96.
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Fourier Analysis on Finite Groups and Applications.
London Mathematical Society Student Texts, Vol. 43, Cambridge University Press, Cambridge.
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Eigenfunction Expansions Associated with Second-Order Differential Equations.
Clarendon Press, Oxford.
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Eigenfunction Expansions Associated with Second Order Differential Equations, Part 2, Partial Differential Equations.
Clarendon Press, Oxford.
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Eigenfunction expansions associated with second-order differential equations. Part I.
Second edition, Clarendon Press, Oxford.
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3: Bibliography V
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On the series expansion method for computing incomplete elliptic integrals of the first and second kinds.
Math. Comp. 23 (105), pp. 61–69.
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Computational Frameworks for the Fast Fourier Transform.
Frontiers in Applied Mathematics, Vol. 10, Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA.
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Expansions in products of Heine-Stieltjes polynomials.
Constr. Approx. 15 (4), pp. 467–480.
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Error estimates for Rayleigh-Ritz approximations of eigenvalues and eigenfunctions of the Mathieu and spheroidal wave equation.
Constr. Approx. 20 (1), pp. 39–54.
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Fourier series representation of Ferrers function
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4: Bibliography K
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Hypergeometric expansions of Heun polynomials.
SIAM J. Math. Anal. 22 (5), pp. 1450–1459.
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Addendum: “Hypergeometric expansions of Heun polynomials”.
SIAM J. Math. Anal. 22 (6), pp. 1803.
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Fourier Analysis.
2nd edition, Cambridge University Press, Cambridge.
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A Handbook of Methods of Approximate Fourier Transformation and Inversion of the Laplace Transformation.
Mir, Moscow.
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Construction of differential operators having Bochner-Krall orthogonal polynomials as eigenfunctions.
J. Math. Anal. Appl. 324 (1), pp. 285–303.