On two dimensional q-Bernoulli and q-Genocchi polynomials: Properties and location of zeros

Mahmudov N., Akkeleş A., Öneren A.

Journal of Computational Analysis and Applications, vol.18, no.5, pp.834-843, 2015 (SCI-Expanded) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 18 Say: 5
  • Nəşr tarixi: 2015
  • jurnalın adı: Journal of Computational Analysis and Applications
  • Jurnalın baxıldığı indekslər: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Səhifə sayı: pp.834-843
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

The main purpose of this paper is to investigate two dimensional generalized Genocchi polynomials based on the q-integers. 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-Genocchi numbers and the q-Genocchi polynomials. We describe the structure of the roots of the q-Genocchi polynomials for values of the index n using a computer.