Geodesic
Expansion of the Riemann Ξ Function in Meixner–Pollaczek Polynomials
Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 561-569

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DOI

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.
DOI : 10.4153/CMB-2008-055-0
Mots-clés : 41A10, 11M26, 33C45 
Kuznetsov, Alexey. Expansion of the Riemann Ξ Function in Meixner–Pollaczek Polynomials. Canadian mathematical bulletin, Tome 51 (2008) no. 4, pp. 561-569. doi: 10.4153/CMB-2008-055-0
@article{10_4153_CMB_2008_055_0,
     author = {Kuznetsov, Alexey},
     title = {Expansion of the {Riemann} {\ensuremath{\Xi}} {Function} in {Meixner{\textendash}Pollaczek} {Polynomials}},
     journal = {Canadian mathematical bulletin},
     pages = {561--569},
     year = {2008},
     volume = {51},
     number = {4},
     doi = {10.4153/CMB-2008-055-0},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2008-055-0/}
}
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