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Coefficient Inequalities for TransformsOf Analytic Functions

R. Bharavi Sharma*, M. Haripriya**

* Assistant Professor, Department of Mathematics, Kakatiya University, Warangal, Telangana, India.

** Project Fellow, U.G.C Major Research Project, New Delhi, India.

Periodicity:October - December'2015
DOI : https://doi.org/10.26634/jmat.4.4.3699

Abstract

In this paper, the authors have introduced a new subclass of analytic functions. The main objective of this work is to study the k^th root transformations for the functions in some subclasses of analytic functions. The authors have obtained the sharp upper bounds for the coefficient functional corresponding to the K^throot transformation for the function f in this class. Similar results are obtained for the inverse function and for . The results will generalize the results obtained by earlier researchers in this direction. This paper will be interesting for the researcher’s working in the area of complex variables.

Keywords

Analytic Functions, Coefficient Functional, k Root Transformation, Subordination.

How to Cite this Article?

Sharma, R.B., and Haripriya, M. (2015). Coefficient Inequalities for Transforms of Analytic Functions. i-manager’s Journal on Mathematics, 4(4), 34-40. https://doi.org/10.26634/jmat.4.4.3699

References

[1]. Ali. R.M. Lee. S.K., Ravichandran. V. and Supramaniam. S, (2009). “The Fekete-Szego Coefficient Function for Transforms of Analytic Functions”, Bulletin of Mathematical Society, Vol.35, No.2, pp.119-142.

[2]. Annamalai Ramachandran. C, and Murugusundaramoorthy, G. (2014). “Fekete-Szego Coefficient for the Janoswski a- Spiral Like Functions in Open Unit Disk”, International Journal of Mathematics Analysis, Vol.8, No.19, pp.931-938.

[3]. Darus M. and Tuneski, N. (2003). “On the Fekete-Szego Problem for Generalized Close-To-Convex Functions”, International Mathematics Journal, Vol.4, No.6, pp.561-568.

[4]. Dixit K.K. and Pal.S.K. (1995). “On a Univalent Functions Related to Complex Order”, Indian Journal of Pure and Applied Mathematics, Vol.26, No.9, pp.889-896.

[5]. Fekete.M. and Szego, G.(1933). “Eine Bermerkung Uber Ungerade Schlichte Function”, Journal of London Mathematical Society. Vol.8, pp.85-89.

[6]. Keogh F.R. and Merkes. E.P. (1969). “A Coefficient Inequality for Certain Classes of Analytic Functions”, American Mathematics Journal, Vol.20, pp.8-12.

[7]. Ma W.C. and Minda D, (1992). “A Unified Treatment of Some Special Classes of Univalent Functions”, Proceedings of the Conference on Complex Analysis, pp.157-169.

[8]. Orhan (2007). “The Fekete-Szego Inequality for a Sub Proceedings of American Mathematical Society Class of Analytic Functions Involving Hadamard Product”, Mathematica, Vol.49, No.72, pp.55-61.

[9]. Ravichandran, V., Polatoglu, Y., Bolcal. M. and Sen, A. (2005). “Certain Subclasses of Starlike and Convex Functions of Complex Order”, Haccetepe Journal of Mathematics and Statistics, Vol.34, pp.9-15.

[10]. Ravichandran, Darus. M, Hussain Khan. M and Subramanian. K.G, (2004). “Fekete-Szego Inequality for Certain Class of Analytic Functions”, Australian Journal on Mathematics Analysis and Applications, Vol.1, No.2, pp.7.

[11]. Sharma. R.B. and Ram Reddy. T, (2011). “A Coefficient Inequality for Certain Subclasses of Analytic Functions”, Indian Journal of Mathematics, The Allahabad Mathematical Society, Vol.53, No.1.

[12]. Sharma. R.B., Saroja. K, (2013). “Fekete – Szego Inequality for Certain Sub-Classes of Analytic Functions”, International Journal of Mathematics Sciences and Applications, Vol.3, No.1.

th [13]. Sharma. R.B. and Haripriya. M, (2015). “K Root Transformations for a Subclass of Analytic Functions by Komatu Integral Operator”, Bulletin of Pure and Applied Sciences, Vol. 34, No.1-2, pp.23 – 46.

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