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A unified presentation of certain subclasses of prestarlike functions with negative coefficients

โœ Scribed by R.K. Raina; H.M. Srivastava


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
361 KB
Volume
38
Category
Article
ISSN
0898-1221

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โœฆ Synopsis


The main object of this paper is to introduce and investigate various properties and characteristics of a unified class P(c~, f~, a), of prestarlike functions with negative coefficients. The results presented here involve distortion inequalities and modified Hadamard products (or convolution) of functions belonging to the class "P(~, j3, a). Growth and distortion theorems involving fractional integrals and fractional derivatives are also considered. Relevant connections of some of these results with those given in earlier works are briefly pointed out.


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