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Determinant approach to the 2-Iterated q-Appell and mixed type q-Appell polynomials

2016/06/14 by Subuhi Khan, Khan, Subuhi, Mumtaz Riyasat +1
Mathematics · #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Inequalities and Applications #Mathematical functions and polynomials #math.CA

paper · pdf · doi:10.48550/arxiv.1606.04265

arxiv created 2016/06/14 · openalex publication_date 2016/06/14 · arxiv updated 2016/06/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this article, the 2-iterated q-Appell family is introduced. Certain 2-iterated q-Appell and mixed type q-special polynomials are considered as members of this family. The numbers related to these polynomials are obtained. The determinant definitions for the 2-iterated q-Appell family and for the 2-iterated and mixed type q-Appell polynomials are established. The graphs of some 2-iterated q-Appell and mixed type q-Appell polynomials are drawn for different values of indices and the roots of these polynomials are also investigated for certain values of index n by using Matlab. Finally, the approximate solutions of the real zeros of these polynomials are given.

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