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Associated legendre functions of arbitrary complex degree

✍ Scribed by A.D. Lizarev; V.U. Ognev; N.B. Rostanina

Publisher
Elsevier Science
Year
1975
Weight
424 KB
Volume
15
Category
Article
ISSN
0041-5553

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πŸ“œ SIMILAR VOLUMES

A Combinatorial Formula for the Associat
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dedicated to professor richard a. askey on the occasion of his 65th birthday We apply inverse scattering theory to a Schro dinger operator with a regular reflectionless Po schl Teller potential on the line, to arrive at a combinatorial formula for the associated Legendre functions of integer degree

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Let {pk}+\_~ be a given double infinite sequence of complex numbers. By defining a linear functional on the space of the Laurent polynomials, certain rational functions are first constructed and some algebraic properties studied. The hermitian case, i.e. P-k = ilk, k E Z is separately considered an