Keywords:-

Keywords: analytic, coefficient bounds, starlike, distortion.

Article Content:-

Abstract

In this work, we introduce and study a new subclass of analytic functions defined by a linear operator and obtained coefficient estimates, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity are obtained. Furthermore, we obtained integral means inequalities for the class. 

References:-

References

W.G. Athsan and R. H. Buti, Fractional calclus of a class of univalent functions, Eur.J.Pure Appl.Math., 4(2), 162-173, 2011.

J.E. Littlewood, On inequalities in the theory of functions, Proc. London Math. Soc., 23(2), 481-519. 1925.

G. Murugusundarmoorthy and N. Magesh, Certain sub-classes of starlike functions of complex order involving generalized hypergeometric functions. Int. J. Math. Math. Sci., art ID 178605, 12, 2010.

H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51, 109-116, 1975.

H. Silverman, A survey with open problems on univalent functions whose coefficient are negative, Rocky Mountain J. Math., 21(3), 1099-1125, 1991.

H.Silverman, Integral means for univalent functions with negative c oefficient, Houston J. Math., 23(1), 169-174, 1997.

Downloads

Citation Tools

How to Cite
Wadkar, J. R., & Jadhav, N. S. (2023). Subclass of Analytic Functions Associated with Linear Operator. International Journal Of Mathematics And Computer Research, 11(11), 3858-3861. https://doi.org/10.47191/ijmcr/v11i11.04