Coefficient Estimates for SAKAGUCHI Type Functions

International Journal of Mathematics Trends and Technology

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Volume 11 | Number 1 | Year 2014 | Article Id. IJMTT-V11P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V11P502

Coefficient Estimates for SAKAGUCHI Type Functions

G. P. Saritha, S. Latha

Abstract

Let Snλ,μ(α, s, t) be the class of normalized analytic functions defined in the open unit disk satisfying ((s−t)(Dnλ,μf(z))’/ Dnλ,μf(sz)−Dnλ,μf(tz))> α,|t| ≤ 1, s ≠ t for some α(0 ≤ α < 1) and Dnλ,μ is a linear multiplier differential operator defined by the author in [8]. The object of the present paper is to discuss some properties of functions f(z) belonging to the classes Snλ,μ(α, s, t) and Tnλ,μ(α, s, t) where f(z) € Tnλ,μ(α, s, t) if and only if zf(z) € Snλ,μ(α, s, t).

Keywords

Analytic function,coefficient estimates, Sakaguchi function,linear multiplier differential operator.

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Citation :

G. P. Saritha, S. Latha, "Coefficient Estimates for SAKAGUCHI Type Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 11, no. 1, pp. 1-14, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V11P502