Laguerre-type general-Appell polynomials

Ozat Z., ÇEKİM B., Ozarslan M. A.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.36, sa.7, ss.571-589, 2025 (SCI-Expanded) identifier identifier

  • 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.