Laguerre type twice-iterated Appell polynomials

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BİRİCİK N., ÖZARSLAN M. A., ÇEKİM B.

Turkish Journal of Mathematics, cilt.48, sa.2, ss.360-376, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.55730/1300-0098.3511
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.360-376
  • Anahtar Kelimeler: differential equation, Laguerre type Appell polynomials, recurrence relation, shift operators
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we use discrete Appell convolution to define the sequence of Laguerre type twice-iterated Appell polynomials. We obtain explicit representation, recurrence relation, determinantal representation, lowering operator, integro-partial raising operator and integro-partial differential equation. In addition, the special cases of this new family are investigated using Euler and Bernoulli numbers. We also state their corresponding characteristic properties.