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Application of Ruscheweyh Derivative to Univalent Functions with Negative Coefficients

Chaudhary, M.S., and Joshi, S.S., (2007) Application of Ruscheweyh Derivative to Univalent Functions with Negative Coefficients. Matematika, 23 (2). pp. 183-189. ISSN 01278274

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Official URL: http://www.fs.utm.my/matematika/images/stories/matematika/20072329.pdf

Affiliations

Shivaji University, India. Dept. of Mathematics
Maharashtra, Shivaji University, India. Dept. of Mathematics

Abstract

The systematic investigation of a new class of analytic functions, which is defined in terms of Ruscheweyh derivative, is presented. Apart from coefficient bounds, results like distortion property, closure property and radius of starlikeness of this class of functions is obtained.

Item Type:Journal
Keywords:Ruscheweyh derivative, distortion theorem, coefficient bounds
Subjects:Q Science, Computer Science
ID Code:5480

[1] H. S. Al- Amiri, On Ruscheweyh derivative, Ann. Polon Math. 38(1980), 87-94.

[2] St. Ruscheweyh, New criteria for univalent functions, Proc Amer Math Soc., 49(1975), 109-116.

[3] H. Silverman, Univalent functions with negative coefficients, Proc. Amer Math Soc., 51(1975), 109-116.

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