Properties for certain subclasses of analytic functions with nonzero coefficients

Author:

Lee Hyo Jeong,Cho Nak Eun,Owa Shigeyoshi

Abstract

Abstract In the present paper, we obtain some mapping and inclusion properties for subclasses of analytic functions by using a linear operator defined by the Gaussian hypergeometric function. MSC:30C45.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Reference17 articles.

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2. Caplinger TR, Causey WM: A class of univalent functions. Proc. Am. Math. Soc. 1973, 39: 357-361. 10.1090/S0002-9939-1973-0320294-4

3. Kim JA, Cho NE: Properties of convolutions for hypergeometric series with univalent functions. Adv. Differ. Equ. 2013. Article ID 101, 2013: Article ID 101

4. Dashrath: On some classes related to spiral-like univalent and multivalent functions. PhD thesis, Kanpur University, Kanpur (1984)

5. Padmanabhan, KS: On a certain class of functions whose derivatives have a positive real part in the unit disc. Ann. Pol. Math. 23, 73-81 (1970/1971)

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