Search engine for discovering works of Art, research articles, and books related to Art and Culture
Javascript must be enabled to continue!
Integral Representation and Explicit Formula at Rational Arguments for Apostol–Tangent Polynomials
View through CrossRef
The Fourier series expansion of Apostol–tangent polynomials is derived using the Cauchy residue theorem and a complex integral over a contour. This Fourier series and the Hurwitz–Lerch zeta function are utilized to obtain the explicit formula at rational arguments of these polynomials. Using the Lipschitz summation formula, an integral representation of Apostol–tangent polynomials is also obtained.
Title: Integral Representation and Explicit Formula at Rational Arguments for Apostol–Tangent Polynomials
Description:
The Fourier series expansion of Apostol–tangent polynomials is derived using the Cauchy residue theorem and a complex integral over a contour.
This Fourier series and the Hurwitz–Lerch zeta function are utilized to obtain the explicit formula at rational arguments of these polynomials.
Using the Lipschitz summation formula, an integral representation of Apostol–tangent polynomials is also obtained.
Related Results
Theoretical study of laser-cooled SH<sup>–</sup> anion
Theoretical study of laser-cooled SH<sup>–</sup> anion
The potential energy curves, dipole moments, and transition dipole moments for the <inline-formula><tex-math id="M13">\begin{document}${{\rm{X}}^1}{\Sigma ^ + }$\end{do...
Revisiting near-threshold photoelectron interference in argon with a non-adiabatic semiclassical model
Revisiting near-threshold photoelectron interference in argon with a non-adiabatic semiclassical model
<sec> <b>Purpose:</b> The interaction of intense, ultrashort laser pulses with atoms gives rise to rich non-perturbative phenomena, which are encoded within th...
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...
Formula Tolerance in Postbreastfed and Exclusively Formula-fed Infants
Formula Tolerance in Postbreastfed and Exclusively Formula-fed Infants
Objective.
Perceived intolerance to infant formula is a frequently reported reason for formula switching. Formula intolerance may be related to perceived symptom...
Λc Physics at BESIII
Λc Physics at BESIII
In 2014 BESIII collected a data sample of 567 [Formula: see text] at [Formula: see text] = 4.6 GeV, which is just above the [Formula: see text] pair production threshold. By analyz...
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....
FORMULASI FORMULA ENTERAL BLENDERIZED NON MILK BASED
FORMULASI FORMULA ENTERAL BLENDERIZED NON MILK BASED
ABSTRACTBackground: Hospital enteral formula with lactose-free content is still rare, meanwhile lactose-free enteral food is needed, especially with patients who have lactose intol...
Asymptotic Approximation of the Apostol-Tangent Polynomials Using Fourier Series
Asymptotic Approximation of the Apostol-Tangent Polynomials Using Fourier Series
Asymptotic approximations of the Apostol-tangent numbers and polynomials were established for non-zero complex values of the parameter λ. Fourier expansion of the Apostol-tangent p...