Laguerre-type general-Appell polynomials
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.36, sa.7, ss.571-589, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 36 Sayı: 7
- Basım Tarihi: 2025
- Doi Numarası: 10.1080/10652469.2024.2418889
- Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.571-589
- Anahtar Kelimeler: Appell polynomials, bivariate Appell polynomials, Laguerre-type derivative, Laguerre-type exponential
- Gazi Üniversitesi Adresli: Evet
Özet
In this paper, new and general form of Laguerre-type Appell polynomials are introduced by using the Laguerre-type exponential function. For this new polynomial family, we present explicit representation, recurrence relation, lowering and raising operators, differential equation, determinant representation and some other properties. Furthermore, a method for handling matrix calculus-based approach to Laguerre-type general-Appell polynomials is presented. Finally, the special cases of this family are investigated using Hermite polynomials and truncated exponential-based Appell polynomials and their corresponding properties are obtained.