Results 31 to 40 of about 56,955 (119)
A new class of degenerate biparametric Apostol-type polynomials
Dolomites Research Notes on Approximation, 2023 Summary: The main objective of this paper is to introduce and explore two novel classes of degenerate biparametric Apostol-type polynomials, which are based on a definition of degenerate Apostol-type polynomials provided by Subuhi Khan et al. We derive various algebraic and differential properties associated with these polynomials.
Bedoya, Daniel +3 more
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Certain results of 2-variable q -generalized tangent-Apostol-type polynomials
, 2020 The present article aims to introduce and investigate a new class of q-hybrid special polynomials, namely 2-variable qgeneralized tangent-Apostol-type polynomials.
G. Yasmin, A. Muhyi
semanticscholar +1 more source
A Note on the Poly‐Bernoulli Polynomials of the Second Kind
Journal of Function Spaces, Volume 2020, Issue 1, 2020., 2020 In this paper, we define the poly‐Bernoulli polynomials of the second kind by using the polyexponential function and find some interesting identities of those polynomials. In addition, we define unipoly‐Bernoulli polynomials of the second kind and study some properties of those polynomials.
Sang Jo Yun, Jin-Woo Park, Serkan Araci
wiley +1 more source
On a class of $q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials [PDF]
, 2014 The main purpose of this paper is to introduce and investigate a class of $q$-Bernoulli, $q$-Euler and $q$-Genocchi polynomials. The $q$-analogues of well-known formulas are derived.
Mahmudov, N. I., Momenzadeh, M.
core +3 more sources
Higher-order frobenius-Euler and poly-Bernoulli mixed type polynomials [PDF]
, 2013 In this paper, we consider higher-order Frobenius-Euler polynomi- als associated with poly-Bernoulli polynomials which are derived from polylogarithmic function.
Kim, Dae San, kim, Taekyun
core +2 more sources
A new class of q-Hermite-based Apostol-type polynomials and its applications
Notes on Number Theory and Discrete Mathematics, 2020 : The present article is to introduce a new class of q -Hermite based Apostol-type polynomials and to investigate their properties and characteristics. In particular, the generating functions, series expression and explicit and recurrence relations for ...
W. Khan, Divesh Srivastava
semanticscholar +1 more source
On the generalized Apostol-type Frobenius-Euler polynomials [PDF]
Advances in Difference Equations, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kurt, Burak, Simsek, Yilmaz
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On Generalized Lagrange-Based Apostol-type and Related Polynomials
Kragujevac Journal of Mathematics, 2022 In this article, we introduce a new class of generalized polynomials, ascribed to the new families of generating functions and identities concerning Lagrange, Hermite, Miller-Lee, and Laguerre polynomials and of their associated forms. It is shown that the proposed method allows the derivation of sum rules involving products of generalized polynomials ...
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Certain generating function of generalized Apostol type Legendre-based polynomials [PDF]
Axioms, 2017 Summary: In this paper, we aim to introduce a generating function for generalized Apostol type Legendre-based polynomials which extends some known results. We also deduce some properties of the generalized Apostol-Bernoulli polynomials, the generalized Apostol-Euler polynomials and the generalized Apostol-Genocchi polynomials of higher order. By making
Khan, N.U., Usman, T., Aman, M.
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Bell based Apostol type polynomials and its properties
, 2021 Many authors studied mix type polynomials and their properties. For their numerous uses in Statistics, Combinatorial analysis and Number theory. In the present article, we define a generating function of mix type Bell based Apostol type polynomials and numbers of order a.
Khan, Nabiullah, Husain, Saddam
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