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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 68 | Issue 1 | Year 2022 | Article Id. IJMTT-V68I1P504 | DOI : https://doi.org/10.14445/22315373/IJMTT-V68I1P504

On a Subclass of Analytic Functions Defined By Differential operator


D.Madhava Krishna, K.Narender, P.Thirupathi Reddy
Abstract

In this paper , we introduce and study a new subclass of analytic functions which are defined by means of a differential operator. Some results connected to coefficient estimates, growth and distortion theorems, radii of starlikeness, convexity and close-to-convexity and integral means inequalities related to the subclass is obtained.

Keywords
Analytic, coefficient, distortion, convexity, starlike, subordination.
References

[1] E. Deniz and Y. Ozkan, Subclasses of analytic functions defined by new differential operator, Acta.Uni.Apul. (2014) 85-95.
[2] J.E. Littlewood, On inequalities in the theory of functions, Proc. London Math. Soc., 23(2) (1925) 481-519.
[3] H.Niranjan,A.Narashimha Murthy and P.Thirupathi Reddy, Some properties of analytical functions related to Borel distributions series , Int. J. Math. Computer. Sci., 26 (2022) 395-404.
[4] H. Silverman, Univalent functions with negative coefficients, Proc. Amer. Math. Soc. 51 (1975) 109-116.
[5] H. Silverman, A survey with open problems on univalent functions whose coefficient are negative, Rocky Mountain J. Math., 21(3) (1991) 1099- 1125.
[6] Silverman, Integral means for univalent functions with negative coefficient, Houston J. Math., 23(1) (1997) 169-174.

Citation :

D.Madhava Krishna, K.Narender, P.Thirupathi Reddy, "On a Subclass of Analytic Functions Defined By Differential operator," International Journal of Mathematics Trends and Technology (IJMTT), vol. 68, no. 1, pp. 36-42, 2022. Crossref, https://doi.org/10.14445/22315373/IJMTT-V68I1P504

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