NDLI: Extensions of the Mehler-Weisner and other results for the Hermite function

Content Provider	Semantic Scholar
Author	Cohen, Mark E.
Copyright Year	1976
Abstract	The purpose of this paper is to present expansions which generalize some well-known formulae for the Hermite function. Among these are the Weisner [20] extension of Mehler's [17] bilinear relation, some recent results of Carlitz [41, and the Bateman [2] addition theorem. A bilateral generating function involving the product of the Hermite and ultraspherical polynomials is given. Finally, some general polynomial expansion theorems are derived.
File Format	PDF HTM / HTML
DOI	10.1090/S0025-5718-1976-0419894-3
Alternate Webpage(s)	http://www.ams.org/journals/mcom/1976-30-135/S0025-5718-1976-0419894-3/S0025-5718-1976-0419894-3.pdf
Alternate Webpage(s)	https://doi.org/10.1090/S0025-5718-1976-0419894-3
Language	English
Access Restriction	Open
Content Type	Text
Resource Type	Article

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