A new generalization of Laguerre-based Appell polynomials with two parameters
Filomat, cilt.39, sa.26, ss.9347-9362, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 39 Sayı: 26
- Basım Tarihi: 2025
- Doi Numarası: 10.2298/fil2526347b
- Dergi Adı: Filomat
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.9347-9362
- Anahtar Kelimeler: determinant form, differential equations, Laguerre based-Appell polynomials
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, we define a new generalization of Laguerre-based Appell polynomials with two parameters. We obtain a recurrence relation, a lowering operator, a integro-partial raising operator, a integro-partial differential equation for this new polynomial family. We introduce subpolynomials of these polynomials, namely Laguerre-based Hermite-Frobenius Euler polynomials, Laguerre-based Miller-Lee polynomials and generalizations of Laguerre-based Hermite polynomials and obtain various properties of them. We also show 3D graphs of these subfamilies and graphs of the distribution of their real roots.