We introduce a new class of meromorphic parabolic starlike functions with a fixed point defined in the punctured unit disk Δ*≔z∈ℂ: 0<z<1 involving the q-hypergeometric functions. We obtained coefficient inequalities, growth and distortion inequalities, and closure results for functions f∈ℳmlλ,β,γ. We further established some results concerning convolution and the partial sums.

Murugusundaramoorthy G

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Janani T

Department of Database Systems

School of Computer Science and Engineering

Fulltext

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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Meromorphic Parabolic Starlike Functions Associated with -Hypergeometric Series

ISRN Mathematical Analysis

In the present investigation we define a new class of meromorphic functions on the punctured unit disk. Δ*:={zεC:0<|z|<1} by making use of the generalized Dziok-Srivastava operator. Hml[α1]. Coefficient inequalities, growth and distortion inequalities, as well as closure results are obtained. We also establish some results concerning the partial sums of meromorphic functions and neighborhood results for functions in new class. © 2012 Wuhan Institute of Physics and Mathematics.

Acta Mathematica Scientia

On certain class of meromorphic functions with positive coefficients

MATHEMATICA SCANDINAVICA

Certain subclasses of analytic functions associated with fractional $q$-calculus operators

Demonstratio Mathematica

Generalizations of Hadamard products of certain meromorphic univalent functions with positive coefficients

Mathematical and Computer Modelling

Classes of meromorphically multivalent functions associated with the generalized hypergeometric function

Subclasses of meromorphically multivalent functions associated with a certain linear operator

Meromorphic Parabolic Starlike Functions Associated with q-Hypergeometric Series

Journal	ISRN Mathematical Analysis
Publisher	Hindawi Limited
Open Access	Yes