On a family of q-modified-Laguerre-Appell polynomials

M Fadel, A Muhyi - Arab Journal of Basic and Applied Sciences, 2024 - Taylor & Francis
This paper aims to introduce a new class of special polynomials called q-modified Laguerre-
Appell polynomials. Some definitions and concepts related to this class of polynomials …

On (p, q)-Bernoulli,(p, q)-Euler and (p, q)-Genocchi polynomials

U Duran, M Acikgoz, S Araci - Journal of Computational and …, 2016 - ingentaconnect.com
In the present paper, we introduce a new kind of Bernoulli, Euler and Genocchi polynomials
based on the (p, q)-calculus and investigate their some properties involving addition …

A study on q-Appell polynomials from determinantal point of view

ME Keleshteri, NI Mahmudov - Applied Mathematics and Computation, 2015 - Elsevier
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q-Bernoulli polynomials and q-umbral calculus

DS Kim, TK Kim - Science China Mathematics, 2014 - Springer
In this paper, we investigate some properties of q-Bernoulli polynomials arising from q-
umbral calculus. We find a formula for expressing any polynomial as a linear combination of …

Novel Properties of q-Sine-Based and q-Cosine-Based q-Fubini Polynomials

WA Khan, MS Alatawi, CS Ryoo, U Duran - Symmetry, 2023 - mdpi.com
The main purpose of this paper is to consider q-sine-based and q-cosine-Based q-Fubini
polynomials and is to investigate diverse properties of these polynomials. Furthermore …

[HTML][HTML] Certain Results for the Twice-Iterated 2D q-Appell Polynomials

HM Srivastava, G Yasmin, A Muhyi, S Araci - Symmetry, 2019 - mdpi.com
In this paper, the class of the twice-iterated 2D q-Appell polynomials is introduced. The
generating function, series definition and some relations including the recurrence relations …

[PDF][PDF] Certain results of 2-variable q-generalized tangent-Apostol type polynomials

G Yasmin, A Muhyi - J. Math. Comput. Sci, 2021 - researchgate.net
The present article aims to introduce and investigate a new class of q-hybrid special
polynomials, namely 2-variable qgeneralized tangent-Apostol-type polynomials. The …

Explicit Properties of Apostol-Type Frobenius–Euler Polynomials Involving q-Trigonometric Functions with Applications in Computer Modeling

Y Rao, WA Khan, S Araci, CS Ryoo - Mathematics, 2023 - mdpi.com
In this article, we define q-cosine and q-sine Apostol-type Frobenius–Euler polynomials and
derive interesting relations. We also obtain new properties by making use of power series …

A Note on q‐Fubini‐Appell Polynomials and Related Properties

A Muhyi, S Araci - Journal of Function Spaces, 2021 - Wiley Online Library
The present article is aimed at introducing and investigating a new class of q‐hybrid special
polynomials, namely, q‐Fubini‐Appell polynomials. The generating functions, series …

An Extended Generalized q‐Extensions for the Apostol Type Polynomials

L Castilla, W Ramírez, A Urieles - Abstract and Applied …, 2018 - Wiley Online Library
Through a modification on the parameters associated with generating function of the q‐
extensions for the Apostol type polynomials of order α and level m, we obtain some new …