Meromorphic parabolic starlike functions with a fixed point involving Srivastava-Attiya operator

G. Murugusundaramoorthy; T. Janani

doi:10.26637/mjm202/001

Abstract

In the present investigation, we introduce a new class of meromorphic parabolic starlike functions with a fixed point defined in the punctured unit disk $\Delta^*:=\{z \in \mathbb{C}: 0<|z|<1\}$ by making use of the SrivastavaAttiya Operator $\mathcal{J}_b^s$ . We obtained Coefficient inequalities, growth and distortion inequalities, as well as closure results for functions $f \in \mathcal{M}_b^s(\lambda, \beta, \gamma)$ . We further established some results concerning convolution and the partial sums.

Keywords:

Meromorphic functions, starlike function, convolution, positive coefficients, coefficient inequalities, integral operator

Mathematics Subject Classification:

30C50

Authors Imprint References Funding Related Articles Downloads

G. Murugusundaramoorthy School of Advanced Sciences, VIT University, Vellore - 632014, India. https://orcid.org/0000-0001-8285-6619
T. Janani School of Advanced Sciences, VIT University, Vellore - 632014, India. https://orcid.org/0000-0001-6174-8360

Pages: 91-102
Date Published: 01-04-2014
Vol. 2 No. 02 (2014): Malaya Journal of Matematik (MJM)

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