Now showing items 1-20 of 25

• #### Bounded harmonic mappings related to starlike functions ﻿

(Amer Inst Physics, 2014-12-17)
Let f = h(z) + <(g(z))over bar> be a sense-preserving harmonic mapping in the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar 1/b(1) g'(z)/h' (z) - M vertical ...
• #### A certain class of harmonic mappings related to functions of bounded boundary rotation ﻿

Let V(k) be the class of functions with bounded boundary rotation and let S-H be the class of sense-preserving harmonic mappings. In the present paper we investigate a certain class of harmonic mappings related to the ...
• #### A certain class of starlike log-harmonic mappings ﻿

(Elsevier Science BV, 2014-11)
In this paper we investigate some properties of log-harmonic starlike mappings. For this aim we use the subordination principle or Lindelof Principle (Lewandowski (1961) [71).
• #### Close-to-convex functions defined by fractional operator ﻿

Let S denote the class of functions f(z) = z + a2z2+... analytic and univalent in the open unit disc D = {z ∈ C||z|<1}. Consider the subclass and S* of S, which are the classes ofconvex and starlike functions, respectively. ...
• #### 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 ﻿

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 ﻿

The main purpose of the present paper is to give the extent idea which was introduced by Robinson(1947) . 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 ...
• #### An investigation of the certain class of multivalent harmonic mappings ﻿

The main purpose of the present paper is to investigate some properties of the certain class of sense-preserving p-valent harmonic mappings in the open unit disc D = {z is an element of C parallel to z vertical bar < 1}.
• #### Notes on Harmonic Functions for which the second Dilatation is α - spiral ﻿

(Eudoxus Press, 2015-06)
In this study, we consider, f = h + (g) over bar harmonic functions in the unit disc D. By applying S. S. Miller and P. M. Mocanu result, we obtain a new subclass of harmonic functions, such as S-HPST*(alpha, beta) We ...
• #### Notes on starlike log-harmonic functions of order α ﻿

For log-harmonic functions f(z) = zh(z)g(z) in the open unit disk U, two subclasses H*LH(?) and G*LH(?) of S*LH(?) consisting of all starlike log-harmonic functions of order ? (0 ? ? &lt; 1) are considered. The object of ...
• #### On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations ﻿

(Springer International Publishing AG, 2017-08-03)
We investigate the existence of solutions for two high-order fractional differential equations including the Caputo-Fabrizio derivative. In this way, we introduce some new tools for obtaining solutions for the high-order ...
• #### On the class of harmonic mappings which is related to the class of bounded boundary rotation ﻿

(Elsevier Science Inc, 2015-09-15)
The class of bounded radius of rotation is generalization of the convex functions. The concept of functions bounded boundary rotation originated from Loewner (1917). But he did not use the present terminology. It was Paatero ...
• #### Positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary conditions ﻿

(Politechnica University of Bucharest, 2017)
We study the existence and uniqueness of positive solutions for a sum-type singular fractional integro-differential equation with m-point boundary condition. Also, we provide an example to illustrate our main result.
• #### Quasiconformal harmonic mappings related to Janowski alpha-spirallike functions ﻿

(Amer Inst Physics, 2014)
Let f = h(z) + g(z) be a univalent sense-preserving harmonic mapping of the open unit disc D = {z/vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical bar = vertical bar g'(z)/h'(z)vertical ...
• #### Quasiconformal harmonic mappings related to starlike functions ﻿

Let f = h(z) + <(g(z))over bar> be a univalent sense-preserving 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 = ...
• #### Some inequalities which hold for starlike log-harmonic mappings of order alpha ﻿

(Eudoxus Press, LLC., 2014-04)
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 log-harmonic mappings is a solution of the nonlinear elliptic partial differential ...
• #### Some properties concerning close-to-convexity 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 close-to-convexity for f(z) is discussed with ...