Discrete Fourier Transform and Extended Modified Hermite Polynomials
DOI10.1007/978-81-322-2485-3_46zbMath1338.42012OpenAlexW2466267533MaRDI QIDQ2801944
Publication date: 22 April 2016
Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-81-322-2485-3_46
discrete Fourier transformeigenfunctionsextended modified Hermite polynomialsmodified second order linear ordinary differential equations
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 (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Numerical methods for discrete and fast Fourier transforms (65T50)
Cites Work
- Discrete Fourier transform and Riemann identities for \(\theta\) functions
- Combinatorial probability interpretation of certain modified orthogonal polynomials
- The eigenvectors of the discrete Fourier transform: A version of the Hermite functions
- Intertwining relations between the Fourier transform and discrete Fourier transform, the related functional identities and beyond
- Jacobi ϑ-functions and discrete Fourier transforms
- Eigenvalues and eigenvectors of the finite Fourier transform
- Is computing with the finite Fourier transform pure or applied mathematics?
- Modified Hermite polynomials in the spectral approximation for boundary layer problems
- Discrete Fourier transform and Jacobi θ function identities
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