Geometric properties of certain analytic functions associated with generalized fractional integral operators

Title
Geometric properties of certain analytic functions associated with generalized fractional integral operators
Author(s)
김용찬최재호[최재호]
Keywords
HYPERGEOMETRIC-FUNCTIONS; HALF-PLANE; TRANSFORMS; STARLIKE
Issue Date
201405
Publisher
SPRINGER INTERNATIONAL PUBLISHING AG
Citation
JOURNAL OF INEQUALITIES AND APPLICATIONS
Abstract
Let A be the class of normalized analytic functions in the unit disk U and define the class P(beta) = {f is an element of A : there exists phi is an element of R such that Re[e(i phi)(f'(z) - beta)] > 0, z is an element of U}. In this paper we find conditions on the number beta and the non-negative weight function lambda(t) such that the integral transform V-lambda(f)(z) = integral(1)(0) lambda(t)f(tz)/t dt is convex of order gamma (0 <= gamma <= 1/2) when f is an element of P(beta). Some interesting further consequences are also considered.
URI
http://hdl.handle.net/YU.REPOSITORY/32168http://dx.doi.org/10.1186/1029-242X-2014-177
ISSN
1029-242X
Appears in Collections:
사범대학 > 수학교육과 > Articles
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