Kafeslerdeki bazı yarı klasik ortogonal polinomlar hakkında

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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