2014/03/02 by Nazım I. Mahmudov, Nazim I. Mahmudov, Mahmudov, Nazim I.
Mathematics · #33C45 #33C55 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical functions and polynomials #math.CA #msc:33C45 #msc:33C55
paper · pdf · doi:10.48550/arxiv.1403.0189
arxiv created 2014/03/02 · openalex publication_date 2014/03/02 · arxiv updated 2014/03/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 calssical (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 newly defined q-Hermite polynomials, as special cases of q-Appell polynomials