Special values for the continuous \(q\)-Jacobi polynomials with application to its Poisson kernel
Cohl, H. S. and Costas-Santos, R. S. Proceedings of the 16th International Symposium on Orthogonal Polynomials, Special Functions and Applications (OPSFA-16), June 13—17, 2022, Centre de recherches mathématiques, Montréal, Québec, Canada, CRM Series in Mathematical Physics, Springer, Cham, Eds: Howard S. Cohl, Luc Vinet, Sarah Post, Josée Savard, 25—45, 21 pagesAbstract
We study special values for the continuous \(q\)-Jacobi polynomials and present applications of these special values, which arise from bilinear generating functions and, in particular, the Poisson kernel for these polynomials.
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@inproceedings {MR4982238,
AUTHOR={Cohl, Howard S. and Costas-Santos, Roberto S.},
TITLE={Special values for the continuous {$q$}-{J}acobi polynomials with application to its {P}oisson kernel},
BOOKTITLE={Proceedings of the 16th {I}nternational {S}ymposium on {O}rthogonal {P}olynomials, {S}pecial {F}unctions and {A}pplications ({OPSFA}-16)},
SERIES={CRM Ser. Math. Phys.},
PAGES={25--45},
PUBLISHER={Springer, Cham},
YEAR={[2025] \copyright 2025},
ISBN={978-3-031-90134-8; 978-3-031-90135-5},
MRCLASS={33D45 (33D15)},
MRNUMBER={4982238},
MRREVIEWER={Junesang\ Choi},
DOI={10.1007/978-3-031-90135-5\{_}2},
URL={https://doi.org/10.1007/978-3-031-90135-5_2},
}