Results 21 to 30 of about 376 (74)
Asymptotic Approximations of Apostol-Genocchi Numbers and Polynomials
European Journal of Pure and Applied Mathematics, 2021 Asymptotic approximations of the Apostol-Genocchi numbers andpolynomials are derived using Fourier series and ordering of poles ofthe generating function. Asymptotic formulas for the Apostol-Eulernumbers and polynomials are obtained as consequence.
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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
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Identities on Generalized Apostol-Genocchi Numbers and Polynomials Involving Binomial Coefficients
European Journal of Pure and Applied Mathematics, 2020 In [11], Jolany et al. defined generalizations of Apostol-Genocchi numbers and polynomials. Most identities on classical or generalized Apostol-Genocchi numbers and polynomials are related to the well-known Bernoulli and Euler numbers and polynomials. However, in this paper, identities on generalized Apostol-Genocchi numbers and polynomials which are ...
Nestor Gonzales Acala +1 more
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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.
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AIMS Mathematics, 2023 <abstract><p>This paper aims to give generating functions for the new family of polynomials, which are called parametric types of the Apostol Bernoulli-Fibonacci, the Apostol Euler-Fibonacci, and the Apostol Genocchi-Fibonacci polynomials by using Golden calculus.
Can Kızılateş, Halit Öztürk
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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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European Journal of Pure and Applied Mathematics, 2023 Asymptotic approximation formulas for polynomials of the type Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi with integer order and real parameters are obtained via hyperbolic functions. The derivation of the formulas is done using the principle of saddle point and expansion of appropriate hyperbolic function about a saddle point.
Cristina Bordaje Corcino +1 more
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Some identities on Bernstein polynomials associated with q-Euler polynomials [PDF]
, 2011 In this paper we investigate some properties for the q-Euler numbers ans polymials. From these properties we give some identities on the Bernstein polymials and q-Euler polynpmials.Comment: 8 ...
Bayad, Abdelmejid +3 more
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Some Results for the Apostol-Genocchi Polynomials of Higher Order
, 2011 The present paper deals with multiplication formulas for the Apostol-Genocchi polynomials of higher order and deduces some explicit recursive formulas. Some earlier results of Carlitz and Howard in terms of Genocchi numbers can be deduced. We introduce the 2-variable Apostol-Genocchi polynomials and then we consider the multiplication theorem for 2 ...
Jolany, Hassan +2 more
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Some New Classes of Generalized Hermite-Based Apostol-Euler and Apostol-Genocchi Polynomials
Fasciculi Mathematici, 2015 Abstract In this paper, we introduce a new class of generalized Apostol-Hermite-Euler polynomials and Apostol-Hermite-Genocchi polynomials and derive some implicit summation formulae by applying the generating functions. These results extend some known summations and identities of generalized Hermite-Euler polynomials studied by Dattoli et al ...
Pathan, M. A., Khan, Waseem A.
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