Results 71 to 80 of about 1,405 (108)
, 2017 Recently, the numbers $Y_{n}(\lambda )$ and the polynomials $Y_{n}(x,\lambda)$ have been introduced by the second author [22]. The purpose of this paper is to construct higher-order of these numbers and polynomials with their generating functions.
Kucukoglu, Irem, Simsek, Yilmaz
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Some remarks on the generalized Apostol-Bernoulli and Apostol-Euler polynomials
Indian Journal of Pure and Applied Mathematics, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boutiche, Mohamed Amine +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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Alternating Euler sums at the negative integers
, 2008 We study three special Dirichlet series, two of them alternating, related to the Riemann zeta function. These series are shown to have extensions to the entire complex plane and we find their values at the negative integers (or residues at poles).
Boyadzhiev, Khristo N. +2 more
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MathematicsThe main purpose of this article is to construct a new class of multivariate Legendre-Hermite-Apostol type Frobenius-Euler polynomials. A number of significant analytical characterizations of these polynomials using various generating function techniques
Mumtaz Riyasat +3 more
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Derivative polynomials of a function related to the Apostol-Euler and Frobenius-Euler numbers
The Journal of Nonlinear Sciences and Applications, 2017 Summary: In the paper, the authors find a simple and significant expression in terms of the Stirling numbers for derivative polynomials of a function with a parameter related to the higher order Apostol-Euler numbers and to the higher order Frobenius-Euler numbers. Moreover, the authors also present a common solution to a sequence of nonlinear ordinary
Zhao, Jiao-Lian +2 more
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Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials [PDF]
Mathematics of Computation, 2009 We investigate Fourier expansions for the Apostol-Bernoulli and Apostol-Euler polynomials using the Lipschitz summation formula and obtain their integral representations. We give some explicit formulas at rational arguments for these polynomials in terms of the Hurwitz zeta function.
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Exploring a Novel Family of Appell Polynomials Associated with Gould–Hopper–Fubini Polynomials
MathematicsIn this paper, we establish a new hybrid class of special polynomials, the Gould–Hopper–Fubini-based Appell polynomials. Using the monomiality principle, we derive their generating function and explore related properties and identities.
F. Gassem +6 more
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, 2017 The main purpose of this paper is to provide a novel approach to deriving formulas for the p-adic q-integral including the Volkenborn integral and the p-adic fermionic integral.
Simsek, Yilmaz
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Interpolation Functions of
Journal of Inequalities and Applications, 2009 The main purpose of this paper is to present new -extensions of Apostol's type Euler polynomials using the fermionic -adic integral on . We define the - -Euler polynomials and obtain the interpolation functions and the Hurwitz type zeta functions of
Kim Young-Hee +2 more
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