JOURNAL ARTICLE
Fourier transform of hn(x + p)hn(x − p)
Mourad E. H. IsmailKrzystztof Stempak
Year: 1996 Journal: International Journal of Mathematics and Mathematical Sciences Vol: 20 (3)Pages: 613-615 Publisher: Hindawi Publishing Corporation
Abstract
We evaluate Fourier transform of a function with Hermite polynomials involved. An elementary proof is based on a combinatorial formula for Hermite polynomials.
Keywords:
Mathematics Combinatorics Fourier transform Mathematical analysis
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Topics
Mathematical functions and polynomials
Physical Sciences → Mathematics → Applied Mathematics
Advanced Mathematical Identities
Physical Sciences → Mathematics → Algebra and Number Theory
Advanced Combinatorial Mathematics
Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics
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