Difference equations of q-Appell polynomials

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Mahmudov N.

Applied Mathematics and Computation, vol.245, pp.539-543, 2014 (SCI-Expanded, Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 245
  • Nəşr tarixi: 2014
  • Doi nömrəsi: 10.1016/j.amc.2014.07.107
  • jurnalın adı: Applied Mathematics and Computation
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.539-543
  • Açar sözlər: Lowering operators, q-Appell polynomials, q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials, q-Hermite polynomials
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

In this paper, we study some properties of the q-Appell polynomials, including the recurrence relations and the q-difference equations which extend some known classical (q=1) results. We also provide the recurrence relations and the q-difference equations for q-Bernoulli polynomials, q-Euler polynomials, q-Genocchi polynomials and for q-Hermite polynomials, as special cases of q-Appell polynomials. © 2014 Elsevier Inc. All rights reserved.