Browsing by Subject "distortion theorem"
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An investigation on a new class of harmonic mappings
(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch6330, Switzerland, 2013)In the present paper, we give an extension of the idea which was introduced by Sakaguchi (J. Math. Soc. Jpn. 11:7275, 1959), and we give some applications of this extended idea for the investigation of the class of harmonic ... 
An investigation on a subclass of pvalently starlike functions in the unit disc
(SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEYTUBITAK, ATATURK BULVARI NO 221, KAVAKLIDERE, TR06100 ANKARA, TURKEY, 2007)Let A(p) denote the class of functions of the form f(z) = z(p) +a(p+1)z(p+1)+a(p+2)z(p+2) +... which are regular and pvalent in the open unit disc D = {z : vertical bar z vertical bar < 1}. Let Mp(alpha) be the subclass ... 
Distortion Theorem and Koebe Domain for Starlike Functions of Complex Order
(İstanbul Kültür Üniversitesi Yayınları, 200204)The aim of this paper is to give distorion theorem and Koebe domain for the class of starlike functaions of complex order under the conditions. b≤ (Re(1/b) Z Re(1/b) 2Z²)/(2⎹z[Re(1/b)+( 2Re(1/b) ... 
Growth and distortion theorems for multivalent Janowski closetoconvex harmonic functions with shear construction method
(Scientific Technical Research Council TurkeyTubitak, Ataturk Bulvarı No 221, Kavaklıdere, Tr06100 Ankara, Turkey, 2013)In this paper we introduce the class of mvalent Janowski close to convex harmonic functions. Growth and distortion theorems are obtained for this class. Our study is based on the harmonic shear methods for harmonic functions. 
Harmonic Function For Which The Second Dilatation is AlphaSpiral
(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch6330, Switzerland, 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 mappinggs for which coanalytic part is a closetoconvex function of order b
(2015)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 ∈ C/{0} (Lashin in Indian J. Pure Appl. Math. 34(7):11011108, 2003). 
Harmonic mappings for which second dilatation is Janowski functions
(2013)In the present paper we extend the fundamental property that if h(z) and g(z) are regular functions in the open unit disc D with the properties h(0) = g(0) = 0, h maps D onto manysheeted region which is starlike with ... 
lambdafractional closetoconvex functions
(International Symposium on Geometric Function Theory and Applications, 2007, Istanbul Kültür University, Istanbul, Turkey, 2007) 
Lambdafractional properties of generalized Janowski functions in the unit disc
(2008)For analytic function f(z) = z + a2z 2 + · · · in the open unit disc D, a new fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle of subordination, we give new proofs for ... 
Multivalued starlike functions of complex order
(2008)Let S ∗ λ (1−b)(b 6= 0, complex) denote the class of functions f(z) = z+a2z 2+· · · analytic in the open unit disc D = {z ∈ Cz < 1} which satisfy for z = reiθ ∈ D, f(z) z 6= 0 and Re · 1 + 1 b µ z (Dλ f ... 
qStarlike Functions of Order Alpha
(Turkic World Mathematical Soc, Z Khalilov Str, 23, Baku, Az 1148, Azerbaijan, 2018)For all q is an element of (0, 1) and 0 <= alpha < 1 we define a class of analytic functions, socalled qstarlike functions of order alpha on the open unit disc D = {z : vertical bar z vertical bar < 1}. We will study ... 
Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions
(Univ Kebangsaan Malaysia, Faculty Science & Technology, Bangi, Selangor, 43600, Malaysia, 201412)Let f(z) = h(z) + <(g(z))over bar> be a univalent sensepreserving harmonic mapping of the open unit disc D = {z vertical bar vertical bar z vertical bar < 1}. If f satisfies the condition vertical bar omega(z)vertical ... 
Quasiconformal Harmonic Mappings Related To Starlike Functions
(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 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 = ... 
Some distortion theorems for starlike harmonic functions
(2010)In this paper , we consider harmonic univalent mappings of the form f = h + ¯g defined on the unit disk D which are starlike. Distortion and growth theorems are obtained. 
Some distortion theorems for starlike logharmonic functions
(International Short Joint Research Workshop, Applications of Convolutions in Geometric Function Theory, 2011, Research Institute for Mathematical Sciences, Kyoto University (RIMS), Kyoto, Japan, RIMS Kokyuroku, 201112) 
Some Inequalities Which Hold For Starlike LogHarmonic Mappings Of Order Alpha
(Eudoxus Press, Llc, 1424 Beaver Trail Drive, Cordova, Tn 38016 Usa, 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 properties of q closetoconvex functions
(Hacettepe Univ, Fac Sci, Hacettepe Univ, Fac Sci, Beytepe, Ankara 06800, Turkey, 201712)Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum ... 
Some properties of q closetoconvex functions
(2017)Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum ... 
Some properties of starlike harmonic mappings
(Springer International Publishing Ag, Gewerbestrasse 11, Cham, Ch6330, Switzerland, 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*, ... 
λfractional properties of generalized Janowski functions in the unit disc
(2008)For analytic function f(z) = z + a2z 2 + · · · in the open unit disc D, a new fractional operator Dλf(z) is defined. Applying this fractional operator Dλf(z) and the principle of subordination, we give new proofs for ...