Başlık için Matematik Bölümü / Department of Mathematics listeleme
Toplam kayıt 240, listelenen: 73-92
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Hamiltonian dynamics on matched pairs
(World Scientific Publishing Co, 2016-11-01)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 α-spiral
(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 alpha-spiral. -
Harmonic mappings for which co-analytic part is a close-to-convex function of order b
(Springer International Publishing, 2015-01-16)In the present paper we investigate a class of harmonic mappings for which the second dilatation is a close-to-convex function of complex order b, b is an element of C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):1101-1108, ... -
Harmonic mappings related to Janowski convex functions of complex order b
(2013)Let SH be the class of all sense-preserving harmonic mappings in the open unit disc D = {z ∈ ℂ||z| < 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, 2014-11)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 m-fold starlike functions
(Elsevier Science Inc, 2015-09-15)In the present paper we will give some properties of the subclass of harmonic mappings which is related to m-fold starlike functions in the open unit disc D = {z parallel to z vertical bar < 1}. Throughout this paper we ... -
Head-on collision of solitary waves in fluid-filled elastic tubes
(Pergamon-Elsevier Science Ltd, 2005-08)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 ... -
Head-on collision of the solitary waves in fluid-filled elastic tubes
(Işık University Press, 2018-04-12)In the present work, by employing the field equations given in [15] and the extended PLK method derived in [9], we have studied the head-on collision of solitary waves in arteries. Introducing a set of stretched coordinates ... -
Head-on-collision of nonlinear waves in a fluid of variable viscosity contained in an elastic tube
(Pergamon-Elsevier Science Ltd, 2009-08-30)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
(2005-08)Contribution of higher order terms in the perturbation expansion for the strongly dispersive ion-plasma waves is examined through the use of modified reductive perturbation method developed early by us. It is shown that ... -
Higher order perturbation expansion for ion-acoustic solitary waves with q-nonextensive nonthermal velocity distribution
(Işık University Press, 2018-09-11)The basic nonlinear equations describing the dynamics of a two component plasma consisting of cold positive ions and electrons obeying hybrid q-nonextensive nonthermal velocity distribution are examined through the use of ... -
Higher order perturbation expansion of waves in water of variable depth
(Elsevier Ltd, 2010-01)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 Higher-order Boussinesq equation in locally non-linear theory of one-dimensional non-local elasticity
(Oxford Univ Press, 2009-02)In one space dimension, a non-local 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 higher-order Boussinesq equation using ... -
A higher-order model for transverse waves in a generalized elastic solid
(Pergamon-Elsevier Science, 2002-11)In the present study, the nonlinear modulation of transverse waves propagating in a generalized elastic solid is studied using a multi-scale expansion of quasi-monochromatic wave solutions. In particular, to include the ... -
Hochschild cohomology of reduced incidence algebras
(World Scientific Publishing Co Pte Ltd, 2016-10-19)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 ... -
Hom-Lie-Hopf algebras
(Academic Press Inc., 2020-07-01)We studied both the double cross product and the bicrossproduct constructions for the Hom-Hopf algebras of general (α,β)-type. This allows us to consider the universal enveloping Hom-Hopf algebras of Hom-Lie algebras, which ... -
Homology of quantum linear groups
(Int Press Boston, 2021-03-24)For every n >= 1, we calculate the Hochschild homology of the quantum monoids M-q(n), and the quantum groups GL(q)(n) and SLq(n) with coefficients in a 1-dimensional module coming from a modular pair in involution. -
Hopf-cyclic cohomology of quantum enveloping algebras
(European Mathematical Society Publishing House, 2016)In this paperwe calculate both the periodic and non-periodic Hopf-cyclic cohomology of Drinfeld-Jimbo quantum enveloping algebra Uq.g/ for an arbitrary semi-simple Lie algebra g with coefficients in a modular pair in ... -
Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebras with infinite dimensional coefficients
(Springer Heidelberg, 2018-12-01)We discuss a new strategy for the computation of the Hopf-cyclic cohomology of the Connes-Moscovici Hopf algebra Hn. More precisely, we introduce a multiplicative structure on the Hopf-cyclic complex of Hn, and we show ...
