Kafeslerdeki bazı yarı klasik ortogonal polinomlar hakkında

Year 2025, Volume: 8 Issue: 3, 146 - 155, 15.09.2025

Mbouna Dieudonne , Alexandre Suzuki

https://doi.org/10.33205/cma.1605090

Abstract

Belirli bir yapı ilişkileri türünden $q$-kuadratik kafes üzerindeki yarı klasik ortogonal polinomların yeni bir karakterizasyonu verilmiştir. Bu karakterizasyonlar klasik olanları içerir ve ayrıca yakın zamanda elde edilen sonucu [Mbouna, D., Suzuki, A., {Kafesler üzerindeki bazı Appell tipi ortogonal polinomlar}, Ramanujan J. (2024) 64:807-822] daha genel bir durumda genişletir.

Keywords

kafes , Askey-Wilson operatörü , yarı klasik ortogonal polinom

On some semiclassical orthogonal polynomials on lattices

Abstract

A new characterization of semiclassical orthogonal polynomials on a $q$-quadratic lattice from certain type of structure relations is given. These characterizations include classical ones and, in addition, extend the recent result [Mbouna, D. and Suzuki, A., {Some Appell-type orthogonal polynomials on lattices}, Ramanujan J. (2024) 64:807-822] in a more general case.

Keywords

Askey-Wilson operator , Askey-Wilson polynomials , lattice

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