General Families of Cosine and Sine Appell Polynomials

Özat Z., Özarslan M. A., ÇEKİM B.

8th International conference Approximation Theory and Special Functions, ATSF 2024, Ankara, Türkiye, 4 - 07 Eylül 2024, cilt.503 PROMS, ss.349-380, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 503 PROMS
  • Doi Numarası: 10.1007/978-3-031-93279-3_19
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.349-380
  • Anahtar Kelimeler: Apostol-type polynomials, Appell polynomials, General Appell polynomials, Gould-Hopper polynomials, Laguerre polynomials, Truncated exponential polynomials
  • Gazi Üniversitesi Adresli: Evet

Özet

In this study, we introduce general families of cosine and sine Appell polynomials and investigate their quasi-monomiality properties, recurrence relations, lowering and raising operators, integro-partial lowering and raising operators, differential equations, integro-partial differential equations and determinant forms, summation formulas. These new definitions include some potentially useful subfamilies of polynomials such as general cosine and sine unified Apostol-type polynomials, cosine and sine Gould-Hopper, Laguerre and truncated exponential based unified Apostol-type polynomials. The particular cases of the main results are also given for these subfamilies.