Results 41 to 50 of about 1,405 (108)
A Unified Family of Generalized $q$-Hermite Apostol Type Polynomials and its Applications
Communications in Advanced Mathematical Sciences, 2019 The intended objective of this paper is to introduce a new class of generalized $q$-Hermite based Apostol type polynomials by combining the $q$-Hermite polynomials and a unified family of $q$-Apostol-type polynomials.
Tabinda Nahid, Subuhi Khan
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New Classes of Degenerate Unified Polynomials
Axioms, 2022 In this paper, we introduce a class of new classes of degenerate unified polynomials and we show some algebraic and differential properties. This class includes the Appell-type classical polynomials and their most relevant generalizations.
Daniel Bedoya +3 more
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Modified Apostol-Euler numbers and polynomials of higher order
Tbilisi Mathematical Journal, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bin-Saad, Maged G., Bin-Alhag, Ali Z.
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Mathematics, 2023 The purpose of this article is to give relations among the uniform B-splines, the Bernstein basis functions, and certain families of special numbers and polynomials with the aid of the generating functions method.
Yilmaz Simsek
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Symmetric q-extension of $$\lambda $$-Apostol–Euler polynomials via umbral calculus
Indian Journal of Pure and Applied Mathematics, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fourier Series of the Periodic Bernoulli and Euler Functions
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We give some properties of the periodic Bernoulli functions and study the Fourier series of the periodic Euler functions which are derived periodic functions from the Euler polynomials. And we derive the relations between the periodic Bernoulli functions and those from Euler polynomials by using the Fourier series.
Cheon Seoung Ryoo +4 more
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q‐Extensions for the Apostol Type Polynomials
Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014 The aim of this work is to introduce an extension for q‐standard notations. The q‐Apostol type polynomials and study some of their properties. Besides, some relations between the mentioned polynomials and some other known polynomials are obtained.
Nazim I. Mahmudov +2 more
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General‐Appell Polynomials within the Context of Monomiality Principle
International Journal of Analysis, Volume 2013, Issue 1, 2013., 2013 A general class of the 2‐variable polynomials is considered, and its properties are derived. Further, these polynomials are used to introduce the 2‐variable general‐Appell polynomials (2VgAP). The generating function for the 2VgAP is derived, and a correspondence between these polynomials and the Appell polynomials is established.
Subuhi Khan +2 more
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The Iwasawa invariants of Zpd${\mathbb {Z}}_{p}^{\,d}$‐covers of links
Journal of the London Mathematical Society, Volume 111, Issue 6, June 2025.Abstract Let p$p$ be a prime number and let d∈Z>0$d\in {\mathbb {Z}}_{>0}$. In this paper, following the analogy between knots and primes, we study the p$p$‐torsion growth in a compatible system of (Z/pnZ)d$({\mathbb {Z}}/p^n{\mathbb {Z}})^d$‐covers of 3‐manifolds and establish several analogues of Cuoco–Monsky's multivariable versions of Iwasawa's ...
Sohei Tateno, Jun Ueki
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Old and New Identities for Bernoulli Polynomials via Fourier Series
International Journal of Mathematics and Mathematical Sciences, Volume 2012, Issue 1, 2012., 2012 The Bernoulli polynomials Bk restricted to [0, 1) and extended by periodicity have nth sine and cosine Fourier coefficients of the form Ck/nk. In general, the Fourier coefficients of any polynomial restricted to [0, 1) are linear combinations of terms of the form 1/nk. If we can make this linear combination explicit for a specific family of polynomials,
Luis M. Navas +3 more
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