On a class of two dimensional (w, q)-Bernoulli and (w, q)-Euler polynomials: Properties and location of zeros

Mahmudov N., Akkeleş A., Öneren A.

Journal of Computational Analysis and Applications, vol.16, no.2, pp.282-292, 2014 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 16 Say: 2
  • Nəşr tarixi: 2014
  • jurnalın adı: Journal of Computational Analysis and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.282-292
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

The main purpose of this paper is to introduce and investigate two dimensional (w, q)-Bernoulli and (w, q)-Euler polynomials. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava–Pintér addition theorem is obtained. Furthermore we explore the shapes of the q-Bernoulli numbers and the q-Bernoulli polynomials. We describe the structure of the roots of the q-Bernoulli polynomials for values of the index n using a computer.