Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Hamiltonian dynamics on matched pairs
(World Scientific Publishing Co, 20161101)The cotangent bundle of a matched pair Lie group, and its trivialization, are shown to be a matched pair Lie group. The explicit matched pair decomposition on the trivialized bundle is presented. On the trivialized space, ... 
Harmonic function for which the second dilatation is αspiral
(Springer International Publishing AG, 2012)Let f = h + (g) over bar be a harmonic function in the unit disc . We will give some properties of f under the condition the second dilatation is alphaspiral. 
Harmonic mappings for which coanalytic part is a closetoconvex function of order b
(Springer International Publishing, 20150116)In the present paper we investigate a class of harmonic mappings for which the second dilatation is a closetoconvex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):11011108, ... 
Harmonic mappings related to Janowski convex functions of complex order b
(2013)Let SH be the class of all sensepreserving harmonic mappings in the open unit disc D = {z ∈ ℂz < 1}. In the present paper the authors investigate the properties of the class of harmonic mappings which is based on the ... 
Harmonic mappings related to Janowski starlike functions
(Elsevier Science BV, 201411)The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) [6]. One of the interesting application of this extent idea is an investigation of the class of harmonic mappings ... 
Harmonic mappings related to starlike function of complex order α
(Işık University Press, 2014)Let SH be the class of harmonic mappings defined by SH = { f = h(z) + g(z)  h(z) = z + ∑∞ n=2 anzⁿ, g(z) = ∑∞ n=1 bnzⁿ} The purpose of this talk is to present some results about harmonic mappings which was introduced by ... 
Harmonic mappings related to the mfold starlike functions
(Elsevier Science Inc, 20150915)In the present paper we will give some properties of the subclass of harmonic mappings which is related to mfold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ... 
Headon collision of solitary waves in fluidfilled elastic tubes
(PergamonElsevier Science Ltd, 200508)In this work, treating the arteries as a thin walled, prestressed thin elastic tube and the blood as an inviscid fluid, we have studied the propagation of nonlinear waves, in the longwave approximation, through the use of ... 
Headon collision of the solitary waves in fluidfilled elastic tubes
(Işık University Press, 20180412)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the headon collision of solitary waves in arteries. Introducing a set of stretched coordinates ... 
Headoncollision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
(PergamonElsevier Science Ltd, 20090830)In this work, treating the arteries as a thin walled, prestressed elastic tube and the blood as an incompressible viscous fluid of variable viscosity, we have studied the interactions of two nonlinear waves, in the long ... 
Higher order approximations in reductive perturbation method: Strongly dispersive waves
(200508)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ionplasma waves is examined through the use of modified reductive perturbation method developed early by us. It is shown that ... 
Higher order perturbation expansion for ionacoustic solitary waves with qnonextensive nonthermal velocity distribution
(Işık University Press, 20180911)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid qnonextensive nonthermal velocity distribution are examined through the use of ... 
Higher order perturbation expansion of waves in water of variable depth
(Elsevier Ltd, 201001)In this work, we extended the application of "the modified reductive perturbation method" to long waves in water of variable depth and obtained a set of KdV equations as the governing equations. Seeking a localized travelling ... 
A Higherorder Boussinesq equation in locally nonlinear theory of onedimensional nonlocal elasticity
(Oxford Univ Press, 200902)In one space dimension, a nonlocal elastic model is based on a single integral law, giving the stress when the strain is known at all spatial points. In this study, we first derive a higherorder Boussinesq equation using ... 
A higherorder model for transverse waves in a generalized elastic solid
(PergamonElsevier Science, 200211)In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multiscale expansion of quasimonochromatic wave solutions. In particular, to include the ... 
Hochschild cohomology of reduced incidence algebras
(World Scientific Publishing Co Pte Ltd, 20161019)We compute the continuous Hochschild cohomology of four reduced incidence algebras: the algebra of formal power series, the algebra of exponential power series, the algebra of Eulerian power series, and the algebra of ... 
HomLieHopf algebras
(Academic Press Inc., 20200701)We studied both the double cross product and the bicrossproduct constructions for the HomHopf algebras of general (α,β)type. This allows us to consider the universal enveloping HomHopf algebras of HomLie algebras, which ... 
Homology of quantum linear groups
(Int Press Boston, 2021)For every n >= 1, we calculate the Hochschild homology of the quantum monoids Mq(n), and the quantum groups GL(q)(n) and SLq(n) with coefficients in a 1dimensional module coming from a modular pair in involution. 
Hopfcyclic cohomology of quantum enveloping algebras
(European Mathematical Society Publishing House, 2016)In this paperwe calculate both the periodic and nonperiodic Hopfcyclic cohomology of DrinfeldJimbo quantum enveloping algebra Uq.g/ for an arbitrary semisimple Lie algebra g with coefficients in a modular pair in ... 
Hopfcyclic cohomology of the ConnesMoscovici Hopf algebras with infinite dimensional coefficients
(Springer Heidelberg, 20181201)We discuss a new strategy for the computation of the Hopfcyclic cohomology of the ConnesMoscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopfcyclic complex of Hn, and we show ...