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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The stationary distribution and extinction of a double thresholds HTLV-I infection model with nonlinear CTL immune response disturbed by white noise
TL;DR: In this article, the authors investigated the stochastic HTLV-I infection model with CTL immune response, and the corresponding deterministic model has two basic reproduction numbers, and they considered the nonlinear CTL i...
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Study of the growth properties of meromorphic solutions of higher-order linear difference equations
TL;DR: In this paper, the growth of meromorphic solutions of homogeneous and non-homogeneous linear difference equations is investigated.
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Existence results for $$(n-1,1)$$ ( n - 1 , 1 ) -type nonlocal integral boundary value problems for coupled systems of fractional differential equations at resonance
TL;DR: In this paper, a coupled system of nonlinear fractional differential equations with nonlocal integral boundary conditions is considered and the existence of solutions is obtained by means of the coincidence degree theory due to Mawhin.
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Integral Condition with Nonlinear Kernel for an Impulsive System of Differential Equations with Maxima and Redefinition Vector
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Pseudo almost periodic dynamics of impulsive Nicholson’s blowflies model with nonlinear density-dependent mortality term
TL;DR: In this paper, a class of impulsive Nicholson's blowflies model with linear harvesting term and nonlinear density-dependent mortality term is concerned, under proper conditions, some criteria are established for the existence, uniqueness and exponentially stable of the piecewise weighted pseudo almost periodic solution for the model.
References
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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.
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$q$-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.