Δω-Laguerre based Appell polynomials and their properties associated with some special polynomials

Özat Z., ÇEKİM B., Ali Özarslan M.

Applied Mathematics and Computation, cilt.459, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 459
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1016/j.amc.2023.128136
  • Dergi Adı: Applied Mathematics and Computation
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Appell polynomials, Laguerre based Appell polynomials, Laguerre polynomials, Δω-Appell polynomials
  • Gazi Üniversitesi Adresli: Evet

Özet

In the present paper, we introduce Δω-Laguerre based Appell polynomials. The first main aim of the paper is to investigate their main properties including explicit representation, determinantal form, recurrence relation, lowering operators (LO), integro-partial raising operator (IPRO) and integro-partial difference equation (IPDE). The second aim is to give the corresponding results, which are known or new, to the usual Laguerre based Appell polynomials which can be obtain immediately from the limiting case ω→0. Furthermore, we introduce Δω-Laguerre-Carlitz Bernoulli, Δω-Laguerre-Carlitz Euler, Δω-Laguerre-Miller-Lee, Δω-Laguerre-Boole polynomials and Δω-Laguerre-Bernoulli polynomials of the second kind as particular cases of Δω-Laguerre based Appell polynomials. The corresponding main results have also been exhibited for these new families of polynomials.