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

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  • Özat, Zeynep
  • Çekim, Bayram
  • Ali Özarslan, Mehmet

Abstract

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.

Suggested Citation

  • Özat, Zeynep & Çekim, Bayram & Ali Özarslan, Mehmet, 2023. "Δω-Laguerre based Appell polynomials and their properties associated with some special polynomials," Applied Mathematics and Computation, Elsevier, vol. 459(C).
    • Handle: RePEc:eee:apmaco:v:459:y:2023:i:c:s0096300323003053
    DOI: 10.1016/j.amc.2023.128136
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    References listed on IDEAS

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    1. Paolo Emilio Ricci & Rekha Srivastava, 2022. "A Note on the Laguerre-Type Appell and Hypergeometric Polynomials," Mathematics, MDPI, vol. 10(11), pages 1-11, June.
    2. Subuhi Khan & Nusrat Raza, 2013. "General-Appell Polynomials within the Context of Monomiality Principle," International Journal of Analysis, Hindawi, vol. 2013, pages 1-11, February.
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