SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

Authors

Nak Eun CHO
M. K. AOUF

DOI

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Abstract

The object of the present paper is to prove various distortion theorems for the fractional calculus of functions in the class T_{n}\left(\lambda,\alpha\right) consisting of analytic and univalent functions with negative coefficients. Furthermore, a distortion theorem for a fractional integral operator of functions in the class T_{n}\left(\lambda,\alpha\right) is shown.

Recommended Citation

CHO, Nak Eun and AOUF, M. K. (1996) "SOME APPLICATIONS OF FRACTIONAL CALCULUS OPERATORS TO A CERTAIN SUBCLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS," Turkish Journal of Mathematics: Vol. 20: No. 4, Article 11. Available at: https://journals.tubitak.gov.tr/math/vol20/iss4/11