On the generalized Apostol-type Frobenius-Euler polynomials
Burak Kurt,Yilmaz Simsek +1 more
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In this article, the authors derived new identities related to the Frobenius-Euler polynomials and generalized Carliz's results. And they also gave a relation between the generalized Frobius Euler Polynomial and the generalized Hurwitz-Lerch zeta function at negative integers.Abstract:
The aim of this paper is to derive some new identities related to the Frobenius-Euler polynomials. We also give relation between the generalized Frobenius-Euler polynomials and the generalized Hurwitz-Lerch zeta function at negative integers. Furthermore, our results give generalized Carliz’s results which are associated with Frobenius-Euler polynomials. MSC:05A10, 11B65, 28B99, 11B68.read more
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New Biparametric Families of Apostol-Frobenius-Euler Polynomials level-m
TL;DR: In this paper, two biparametric families of Apostol-Frobenius-Euler polynomials of level $m$m$ were introduced, and some algebraic properties, as well as some other identities which connect these polynomial class with the generalized $\lambda$-Stirling type numbers of the second kind, were given.
Journal ArticleDOI
Barnes-type Daehee with λ-parameter and degenerate Euler mixed-type polynomials
TL;DR: In this paper, the authors considered the Barnes-type Daehee with λ-parameter and degenerate Euler mixed-type polynomials and presented several explicit formulas and recurrence relations.
Journal ArticleDOI
A numerical method for two-dimensional inverse heat conduction problems
TL;DR: In this paper, the variational iteration method (VIM) is used to solve two-dimensional inverse heat conduction problems and restore boundary conditions in heat convection. But, the VIM is not suitable for solving the problem of convex convex heat conductions.
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Some unified formulas involving generalized-Apostol-type-Gould-Hopper polynomials and multiple power sums
TL;DR: In this article, a new unified class of generalized Apostol type polynomials is introduced, under a slight modification on the parameters associated to the generalized apostol type and generalized Gould-Hopper polynomial, and by the use of generating method.
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Homogenization of a dual-permeability problem in two-component media with imperfect contact
TL;DR: In this article, the macroscopic modeling of a steady fluid flow in an ǫ-periodic medium consisting of two interacting systems: fissures and blocks, with permeabilities of different order of magnitude and with the presence of flow barrier formulation at the interfacial contact is studied.
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Book
Series Associated with the Zeta and Related Functions
Hari M. Srivastava,Junesang Choi +1 more
TL;DR: In this article, the Zeta and related functions are used to define the determinants of the Laplacians, and series of series involving Zeta Functions are used for series representation.
Book
Zeta and q-Zeta Functions and Associated Series and Integrals
Hari M. Srivastava,Choi Junesang +1 more
TL;DR: Zeta and q-Zeta Functions and Associated Series and Integrals as discussed by the authors is a thoroughly revised, enlarged and updated version of Series Associated with the Zeta and Related Functions, which includes a new chapter on the theory and applications of the basic (or q-) extensions of various special functions.
Posted Content
$q$-Bernoulli Numbers and Polynomials Associated with Multiple $q$-Zeta Functions and Basic $L$-series
TL;DR: In this article, Wang et al. constructed uniform differentiable functions of the Bernoulli numbers and polynomials at negative integers, and proved analytic continuation of some basic (or $q$-) $L$% -series.