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http://dx.doi.org/10.4134/JKMS.2006.43.4.803

ON A SUBCLASS OF CERTAIN CONVEX HARMONIC FUNCTIONS  

Yalcin Sibel (Uludag Universitesi Fen Edebiyat Fakultesi Matematik Bolumu)
Ozturk Metin (Uludag Universitesi Fen Edebiyat Fakultesi Matematik Bolumu)
Publication Information
Journal of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 803-813 More about this Journal
Abstract
We define and investigate a subclass of complex valued harmonic convex functions that are univalent and sense preserving in the open unit disk. We obtain coefficient conditions, extreme points, distortion bounds, convolution conditions for the above family of harmonic functions.
Keywords
harmonic; univalent; convex;
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1 O. Altintas, O. Ozkan and H. M. Srivastava, Neighborhoods of a class of analytic functions with negative Coefficients, Appl. Math. Lett. 13 (2000), no. 3, 63-67
2 Y. Avc and E. Zlotkiewicz, On Harmonic Univalent Mappings, Annales Univer- sitatis Mariae Cruie Sklodowska Sectio A 44 (1990), 1-7
3 J. Clunie and T. Sheil-Small, Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. A I Math. 9 (1984), 3-25   DOI
4 J. M. Jahangiri, Coefficient bounds and univalence criteria for harmonic functions with negative coeficients, Ann. Univ. Mariae Cruie-Sklodowska Sect. A 52 (1998), no. 2, 57-66
5 J. M. Jahangiri, Harmonic functions starlike in the unit disk, J. Math. Anal. Appl. 235 (1999), no. 2, 470-477   DOI   ScienceOn
6 St. Ruscheweyh, Neighborhoods of Univalent Functions, Proc. Amer. Math. Soc. 81 (1981), no. 4, 521-527
7 H. Silverman, Harmonic univalent function with negative coefficients, J. Math. Anal. Appl. 220 (1998), no. 2, 283-289   DOI   ScienceOn