A pair of biorthogonal polynomials for the Szegö-Hermite weight function

A pair of polynomial sequences {Snμ(x;k)} and {Tmμ(x;k)} where Snμ(x;k) is of degree n in xk and Tmμ(x;k) is of degree m in x, is constructed. It is shown that this pair is biorthogonal with respect to the Szegö-Hermite weight function |x|2μexp(−x2), (μ>−1/2) over the interval (−∞,∞) in the sense...

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Bibliographic Details
Main Authors: N. K. Thakare, M. C. Madhekar
Format: Article
Language:English
Published: Wiley 1988-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S0161171288000924
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