Laguerre-type general-Appell polynomials

Ozat Z., ÇEKİM B., Ozarslan M. A.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2024 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2024
  • 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
  • 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.