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Expansion of the Riemann Ξ Function in Meixner–Pollaczek Polynomials

Published online by Cambridge University Press:  20 November 2018

Alexey Kuznetsov
Alexey Kuznetsov*
Affiliation:
Department of Mathematics and Statistics, York University, Toronto, ON, M3J 1P3. e-mail: kuznetsov@mathstat.yorku.ca
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Abstract

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In this article we study in detail the expansion of the Riemann $\Xi$ function in Meixner– Pollaczek polynomials. We obtain explicit formulas, recurrence relation and asymptotic expansion for the coefficients and investigate the zeros of the partial sums.

Keywords

41A1011M2633C45
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 51 , Issue 4 , 01 December 2008 , pp. 561 - 569
Copyright
Copyright © Canadian Mathematical Society 2008

References

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