A certain convolution approach for subclasses of analytic functions with negative coefficients

Making use of the familiar convolution structure of analytic functions, in this study we introduce and investigate a new subclass of analytic functions, whose Taylor-Maclaurin coefficients from the second term onwards are all negative. We derive the coefficient inequalities and other interesting pro...

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Bibliographic Details
Published in:Integral transforms and special functions 2009-09, Vol.20 (9), p.687-699
Main Authors: Srivastava, H. M., Eker, Sevtap Sümer, Şeker, Bilal
Format: Article
Language:English
Subjects:
analytic functions
coefficient inequalities
distortion inequalities
extreme points
fractional integrals and fractional derivatives
Gamma function
Hadamard product (or convolution)
integral means
Littlewood subordination theorem
operators of fractional calculus
Primary 26A33
Schwarz function
Secondary 30A10
subordination between analytic functions
Sălăgean derivative operator
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Summary:Making use of the familiar convolution structure of analytic functions, in this study we introduce and investigate a new subclass of analytic functions, whose Taylor-Maclaurin coefficients from the second term onwards are all negative. We derive the coefficient inequalities and other interesting properties and characteristics for functions belonging to the general class, which we have introduced and studied in this article.
ISSN:1065-2469
1476-8291
DOI:10.1080/10652460902749437