Browsing FEF  Makale Koleksiyonu  Matematik Bölümü / Department of Mathematics by Title
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Quasiconformal harmonic mappings related to starlike functions
(Eudoxus Press, 201407)Let f = h(z) + <(g(z))over bar> be a univalent sensepreserving harmonic mapping of the unit disc D = {z is an element of C parallel to z vertical bar < 1}. If f satisfies the condition vertical bar w(z)vertical bar = ... 
Revisiting the headon collision problem between two solitary waves in shallow water
(PergamonElsevier Science Ltd, 201503)Upon discovering the wrongness of the statement "although this term does not cause any secularity for this order it will cause secularity at higher order expansion, therefore, that term must vanish" by Su and Mirie [4], ... 
Reducing a generalized DaveyStewartson system to a nonlocal nonlinear Schrodinger equation
(PergamonElsevier Science Ltd, 20090730)In the present study, we consider a generalized (2 + 1) DaveyStewartson (GDS) system consisting of a nonlinear Schrodinger (NLS) type equation for the complex amplitude of a short wave and two asymmetrically coupled linear ... 
Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians
(Amer Inst Physics, 201801)We present SkinnerRusk and Hamiltonian formalisms of second order degenerate Clement and SariogluTekin Lagrangians. The DiracBergmann constraint algorithm is employed to obtain Hamiltonian realizations of Lagrangian ... 
Reflection and transmission of nonlinear waves from arterial branching
(Elsevier Ltd, 200610)In this work, treating the arteries as a prestressed thin walled elastic tube and the blood as an inviscid fluid, we have studied the reflection and transmission of nonlinear waves from arterial branching, through the use ... 
Rotational Weingarten surfaces in hyperbolic 3space
(Birkhauser, 20200401)We study rotational Weingarten surfaces in the hyperbolic space H3( 1) with the principal curvatures κ and λ satisfying a certain functional relation κ= F(λ) for a given continuous function F. We determine profile curves ... 
Second order Lagrangian dynamics on double cross product groups
(Elsevier B.V., 202102)We observe that the iterated tangent group of a Lie group may be realized as a double cross product of the 2nd order tangent group, with the Lie algebra of the base Lie group. Based on this observation, we derive the 2nd ... 
Semiregular trees with minimal Laplacian spectral radius
(Elsevier Inc, 20100415)A semiregular tree is a tree where all nonpendant vertices have the same degree. Among all semiregular trees with fixed order and degree, a graph with minimal (adjacency/Laplacian) spectral radius is a caterpillar. Counter ... 
Slant curves in the Lorentzian warped product manifold  I× fE²
(Birkhauser, 20220315)In this work, we study slant curves in the 3dimensional Lorentzian warped product  I× fE², where E² is a 2dimensional Euclidean plane, I⊆ R is an open interval equipped with the metric dt², and f is a positive smooth ... 
Solitary waves in a fluidfilled thin elastic tube with variable crosssection
(Elsevier B.V., 200708)The present work treats the arteries as a thin walled prestressed elastic tube with variable crosssection and uses the longwave approximation to study the propagation of weakly nonlinear waves in such a fluidfilled elastic ... 
Solitary waves in a tapered prestressed fluidfilled elastic tube
(Birkhauser Verlag AG, 200403)In the present work, treating the arteries as a tapered, thin walled, long and circularly conical prestressed elastic tube and using the longwave approximation, we have studied the propagation of weakly nonlinear waves in ... 
Solitary waves in elastic tubes filled with a layered fluid
(PergamonElsevier Science, 200104)In this work, we studied the propagation of weakly nonlinear waves in a prestressed thin elastic tube filled with an incompressible layered fluid, where the outer layer is assumed to be inviscid whereas the cylindrical ... 
Solitary waves in fluidfilled elastic tubes: weakly dispersive case
(PergamonElsevier Science, 200103)In the present work, employing the nonlinear equations of an incompressible, isotropic and elastic thin tube and the approximate equations of an incompressible inviscid fluid, the propagation of weakly nonlinear waves, in ... 
Some boundary Harnack principles with uniform constants
(Springer Science and Business Media B.V., 20210410)We prove two versions of a boundary Harnack principle in which the constants do not depend on the domain by using probabilistic methods. 
Some inequalities which hold for starlike logharmonic mappings of order alpha
(Eudoxus Press, LLC., 201404)Let H(D) be the linear space of all analytic functions defined on the open disc D = {z vertical bar vertical bar z vertical bar < 1}. A logharmonic mappings is a solution of the nonlinear elliptic partial differential ... 
Some notes on spectra of cographs
(Charles Babbage Res Ctr, 201107)A cograph is a P4free graph. We first give a short proof of the fact that 0 (1) belongs to the spectrum of a connected cograph (with at least two vertices) if and only if it contains duplicate (resp. coduplicate) vertices. ... 
Some properties concerning closetoconvexity of certain analytic functions
(Springer International Publishing AG, 2012)Let f(z) be an analytic function in the open unit disk D normalized with f(0) = 0 and f'(0) = 1. With the help of subordinations, for convex functions f(z) in D, the order of closetoconvexity for f(z) is discussed with ... 
Some properties of starlike harmonic mappings
(Springer International Publishing AG, 2012)A fundamental result of this paper shows that the transformation F=az(h(z+a/1+(a) over barz) + /(h(a) + <(g(a))over bar>(z + a) (1 + (a) over barz) defines a function in S0 HS* whenever f = h( z) + g( z) is S0 HS*, andwewill ... 
Some results on a starlike logharmonic mapping of order alpha
(Elsevier Science BV, 20140115)Let H(D) be the linear space of all analytic functions defined on the open unit disc D = z is an element of C : vertical bar z vertical bar < 1. A sense preserving logharmonic mapping is the solution of the nonlinear ... 
Some results on a subclass of harmonic mappings of order alpha
(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) = b1z + ∑∞ n=2 bnzⁿ, b1 < 1 } where h(z) and g(z) are analytic. Additionally f(z) ∈ SH(α) ⇔  zh′ (z) − zg′(z) h(z) ...