A numerical computation of zeros and determinant forms for some new families of q-special polynomials

Riyasat M., Khan S., Mahmudov N.

Azerbaijan Journal of Mathematics, vol.9, no.2, pp.54-80, 2019 (Scopus) identifier

  • Nəşrin Növü: Article / Article
  • Cild: 9 Say: 2
  • Nəşr tarixi: 2019
  • jurnalın adı: Azerbaijan Journal of Mathematics
  • Jurnalın baxıldığı indekslər: Scopus
  • Səhifə sayı: pp.54-80
  • Açar sözlər: 2-iterated q-Appell polynomials, Determinant, Hybrid q-special polynomials, Q-Appell polynomials
  • Açıq Arxiv Kolleksiyası: Məqalə
  • Adres: Yox

Qısa məlumat

The main aim of this article is to investigate some new families of q-special polynomials and to study their properties using different approaches. The 2-iterated q-Appell polynomial family is introduced and some properties of these polynomials are considered under q-umbral calculus methods. Some 2-iterated q-Appell and hybrid q-special polynomials are studied as members of this family. The numbers related to these polynomials are obtained. The graphical representation of the 2-iterated and hybrid q-Appell polynomials is presented. The zeros of these polynomials are investigated for some values of index n using numerical computation. The approximate solutions of the real zeros of these polynomials are also considered. The determinant forms for the 2-iterated q-Appell family and for the 2-iterated and hybrid q-special polynomials are established using linear algebraic approach.