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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 ...
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 ...
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 ...
On certain classes of univalent meromorphic functions associated with integral operators
(Işık University Press, 2014)
This paper illustrates how some inclusion relationships of certain class of univalent meromorphic functions may be defined by using the linear operator. Further, a property preserving integrals is considered for the final ...
Extensions for certain subordination relations
(Işık University Press, 2014)
For some complex number ? which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator I? was proven by D. J. Hallenbeck and St. Ruscheweyh (Proc. Amer. Math. Soc. 52(1975), ...
New sufficient conditions for starlike and convex functions
(Işık University Press, 2014)
Let A be the class of analytic functions f(z) in the open unit disc. Applying the subordination, some sufficient conditions for starlikeness and convexity are discussed.