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

G. Murugusundaramoorthya,* and T. Jananib

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

Authors :

G. Murugusundaramoorthy^a,* and T. Janani^b

Author Address :

^a,,bSchool of Advanced Sciences, VIT University, Vellore - 632014, India.

*Corresponding author.

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 $ ds Delta^*:= {zinmathbb{C}: 0<|z|< 1}$ by making use of the Srivastava-Attiya Operator $mathcal{J}^{s}_{b}.$ We obtained Coefficient inequalities, growth and distortion inequalities, as well as closure results for functions $finmathcal{ M}^{s}_{b}(lambda,eta,gamma). $ We further established some results concerning convolution and the partial sums

Keywords :

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

DOI :

Article Info :

Received : January 11, 2014; Accepted : January 22, 2014.