SOME PROPERTIES OF SUBCLASSES OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 130
DOI:
Author :
N. Shilpa (PG Department of Mathematics, JSS College of Arts, Commerce and Science, Ooty Road, Mysore, Karnataka - 570 025, INDIA)
Abstract
The object of the present paper is to define a new subclass T ζ m,λ(A,B, γ) of analytic functions whose non-negative coefficients from the second onwards are negative by using the differential operator Dζ m,λ. We derive some interesting properties like coefficient inequalities, distortion bounds, convolution conditions and a result which unifies radii of close-to-convexity, starlikeness and convexity.
Keywords and Phrases
Analytic functions, Modified Hadamard product, Coefficient inequalities, Convolution conditions, Al-Oboudi operator.
A.M.S. subject classification
30C45.
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