Yayınlanmış 1 Ocak 2025 | Sürüm v1
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A new generalization of Laguerre-based Appell polynomials with two parameters

  • 1. Gazi Univ, Grad Sch Nat & Appl Sci, Ankara, Turkiye
  • 2. Gazi Univ, Fac Sci, Dept Math, Ankara, Turkiye
  • 3. Eastern Mediterranean Univ, Fac Arts & Sci, Dept Math, Via Mersin 10, Gazimagusa, Turkiye

Açıklama

In this paper, we define a new generalization of Laguerre-based Appell polynomials with two parameters. We obtain a recurrence relation, a lowering operator, a integro-partial raising operator, a integro-partial differential equation for this new polynomial family. We introduce subpolynomials of these polynomials, namely Laguerre-based Hermite-Frobenius Euler polynomials, Laguerre-based Miller-Lee polynomials and generalizations of Laguerre-based Hermite polynomials and obtain various properties of them. We also show 3D graphs of these subfamilies and graphs of the distribution of their real roots.

Dosyalar

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