Search engine for discovering works of Art, research articles, and books related to Art and Culture
ShareThis
Javascript must be enabled to continue!

Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials

View through CrossRef
AbstractFourier expansions of higher-order Apostol–Genocchi and Apostol–Bernoulli polynomials are obtained using Laurent series and residues. The Fourier expansion of higher-order Apostol–Euler polynomials is obtained as a consequence.
Title: Fourier expansions for higher-order Apostol–Genocchi, Apostol–Bernoulli and Apostol–Euler polynomials
Description:
AbstractFourier expansions of higher-order Apostol–Genocchi and Apostol–Bernoulli polynomials are obtained using Laurent series and residues.
The Fourier expansion of higher-order Apostol–Euler polynomials is obtained as a consequence.

Related Results

Asymptotic Approximations of Higher-Order Apostol–Frobenius–Genocchi Polynomials with Enlarged Region of Validity
Asymptotic Approximations of Higher-Order Apostol–Frobenius–Genocchi Polynomials with Enlarged Region of Validity
In this paper, the uniform approximations of the Apostol–Frobenius–Genocchi polynomials of order α in terms of the hyperbolic functions are derived through the saddle-point method....
Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order
Fourier Series for the Tangent Polynomials, Tangent–Bernoulli and Tangent–Genocchi Polynomials of Higher Order
In this paper, the Fourier series expansion of Tangent polynomials of higher order is derived using the Cauchy residue theorem. Moreover, some variations of higher-order Tangent po...
GENERALIZED DEGENERATE CHANGHEE-GENOCCHI NUMBERS AND POLYNOMIALS
GENERALIZED DEGENERATE CHANGHEE-GENOCCHI NUMBERS AND POLYNOMIALS
The degenerate Changhee-Genocchi numbers (and also Changhee - Genocchi), which appear in analysis and combinatorial mathematics and play a significant role in the applications and ...
Fourier Series Expansion and Integral Representation of Apostol-Type Frobenius–Euler Polynomials of Complex Parameters and Order α
Fourier Series Expansion and Integral Representation of Apostol-Type Frobenius–Euler Polynomials of Complex Parameters and Order α
In this paper, the Fourier series expansions of Apostol-type Frobenius–Euler polynomials of complex parameters and order α are derived, and consequently integral representations of...
A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials
A Note on Parametric Kinds of the Degenerate Poly-Bernoulli and Poly-Genocchi Polynomials
Recently, the parametric kind of some well known polynomials have been presented by many authors. In a sequel of such type of works, in this paper, we introduce the two parametric ...
New Type of Degenerate Changhee–Genocchi Polynomials
New Type of Degenerate Changhee–Genocchi Polynomials
A remarkably large number of polynomials and their extensions have been presented and studied. In this paper, we consider a new type of degenerate Changhee–Genocchi numbers and pol...
A Note on Modified Degenerate Changhee–Genocchi Polynomials of the Second Kind
A Note on Modified Degenerate Changhee–Genocchi Polynomials of the Second Kind
In this study, we introduce modified degenerate Changhee–Genocchi polynomials of the second kind, and analyze some properties by providing several relations and applications. We fi...

Back to Top