Browse > Article
http://dx.doi.org/10.4134/BKMS.2003.40.3.399

MULTIPLIER TRANSFORMATIONS AND STRONGLY CLOSE-TO-CONVEX FUNCTIONS  

Cho, Nak-Eun (Department of Applied Mathematics, Pukyong National University)
Kim, Tae-Hwa (Department of Applied Mathematics, Pukyong National University)
Publication Information
Bulletin of the Korean Mathematical Society / v.40, no.3, 2003 , pp. 399-410 More about this Journal
Abstract
The purpose of the present paper is to introduce some new subclasses of strongly close-to-convex functions in the open unit disk defined by multiplier transformations and study their properties. Our results include several previous known results as special cases.
Keywords
subordinate; multiplier transformation; strongly close-to-convex; integral operator;
Citations & Related Records
연도 인용수 순위
  • Reference
1 The Noor integral and strongly starlike functions /
[ J.Liu ] / J. Math. Anal. Appl.   DOI   ScienceOn
2 On a Briot-Bouquet differential subordination /
[ P.Eenigenburg;S.S.Miller;P.T.Mocanu;M.O.Reade ] / General Inequalities
3 Subclasses of univalent functions /
[ G.S.Salagean ] / Lecture Notes in Math.   DOI
4 Convex and starlike univalent functions /
[ S.D.Bernardi ] / Trans. Amer. Math. Soc.   DOI   ScienceOn
5 Alpha-convex integral operators and strongly starlike functions /
[ P.T.Mocanu ] / Studia Univ. Babes-Bolyai Mathematica
6 On the order of strongly starlikeness of strongly convex functions /
[ M.Nunokawa ] / Proc. Japan. Acad. Ser. A. Math. Sci.   DOI
7 /
[ Y.Komatu ] / Distortion theorems in relation to linear integral operators
8 On quasiconvex functions and related topics /
[ K.I.Noor ] / Internat. J. Math. Math. Sci.   DOI
9 Subclasses of starlike functions subordinate to convex functions /
[ H.Silverman;E.M.Silvia ] / Canad. J. Math.   DOI
10 Some extremal problems for certain families of analytic functions /
[ W.Janowski ] / Bull. Acad. Polon. Sci. Sёr. Sci. Math.Astronom. Phys.
11 On close-to-convex analytic functions /
[ Ch.Pommerenke ] / Trans. Amer. Math. Soc.   DOI   ScienceOn
12 On a class of close-to convex schlicht functions /
[ H.Silverman ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
13 Properties of close-to-convexity preserved by some integral operators /
[ K.I.Noor;H.A.Alkhorasani ] / J. Math. Anal. Appl.   DOI
14 Some classes of regular univalent functions /
[ R.J.Libera ] / Proc. Amer. Math. Soc.   DOI   ScienceOn
15 Differential subordinations ans univalent functions /
[ S.S.Miller;P.T.Mocanu ] / Michigan Math. J.   DOI
16 /
[ H.M.Srivastava;S.Owa(ed.) ] / Current topics in analytic function theory