A note on (j, k)-symmetric harmonic functions defined by sâ¨alâ¨agean derivatives.

Sarari, F. S. M. A. and Latha, S. (2015) A note on (j, k)-symmetric harmonic functions defined by sâ¨alâ¨agean derivatives. International Journal of Mathematical Combinatorics, 4. 07-17.

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Abstract

In this paper, using the concept of (j, k)-symmetric functions and S¨al¨agean operator we introduce the class SHj,k s ( , �, b) of functions f = h + g which are harmonic in U. Coefficients bound for functions to be in this class. We also shown that this coefficient bound is also necessary for the class of functions of the form f = h� + g�, belonging to the class SH j,k s ( , �, b). Distortion bounds, extreme points and neighborhood for the class SH j,k s ( , �, b) are also obtained

Item Type: Article
Uncontrolled Keywords: (j and K)-Symmetric Functions and Harmonic Functions and S¨al¨agean Operator and Distortion Bounds and Neighborhood
Subjects: E Mathematical Science > Mathematics
Divisions: Yuvaraj college > Mathematics
Depositing User: Shrirekha N
Date Deposited: 20 Jun 2019 07:34
Last Modified: 20 Jun 2019 07:34
URI: http://eprints.uni-mysore.ac.in/id/eprint/3483

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