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In this paper we introduce a new subclass
[수식]
of analytic and multivalent functions with negative coefficients using fractional calculus operators. Connections to the well known and some new subclasses are discussed. A necessary and sufficient condition for a function to be in [수식] is obtained. Several distortion inequalities involving fractional integral and fractional derivative operators are also presented. We also give results for radius of starlikeness, convexity and close-to-convexity and inclusion property for functions in the subclass. Modified Hadamard product, application of class preserving integral operator and other interesting properties are also discussed.
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참고문헌 (12)
참고문헌 신청
G. Murugusundaramoorthy / 2005 / A subclass of uniformly convex functions associated with certain fractional calculus operators / J. Ineq. Pure and Appl. Math., 6 (3) : 1 ~ 1
G. Murugusundaramoorthy / 2008 / An application of second order dif-ferential inequalities based on linear and integral operators / International J. of Math. Sci. and Engg. A
H. Irmak / 2004 / Some Applications of Generalized fractional calcu-lus operators to a novel class of analytic functions with negative coefficients / Taiwanese Journal of Mat
H. M. Srivastava / 1992 / Current Topics in Analytic Function Theory / World Scientific
H. M. Srivastava / 2002 / Some Distortion Inequalities Associated with the Fractional Derivatives of Analytic and Univalent Functions / Journal of Inequalities in Pure and A
G. Murugusundaramoorthy / 2008 / An application of second order dif-ferential inequalities based on linear and integral operators / International J. of Math. Sci. and Engg. A
H. Irmak / 2004 / Some Applications of Generalized fractional calcu-lus operators to a novel class of analytic functions with negative coefficients / Taiwanese Journal of Mat
H. M. Srivastava / 1992 / Current Topics in Analytic Function Theory / World Scientific
H. M. Srivastava / 2002 / Some Distortion Inequalities Associated with the Fractional Derivatives of Analytic and Univalent Functions / Journal of Inequalities in Pure and A
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