Starlikeness and convexity of fractional calculus operators
Date
2009-08-27T18:09:28Z
Authors
Choi, J. H.
Kim, Y. C.
Srivastava, H.M.
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Abstract
The main object of the present paper is to investigate the starlikeness and convexity of certain general families of operators of fractional calculus (that is, fractional integral and fractional derivative). Relevant connections are also pointed out with various earlier results involving these subclasses of analytic functions.
Description
Keywords
analytic functions, starlike functions, convex functions, prestarlike functions, fractional calculus, Hadamard product or convolution, Pochhammer symbol, generalized hypergeometric functions, Carlson-Shafter operator, technical reports (mathematics and statistics)