Extensions for certain subordination relations

For some complex number [gamma] which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator [I.sub.[gamma]] was proven by D. J. Hallenbeck and St. Ruscheweyh (Proc. Amer. Math. Soc. 52(1975), 191-195). By considering the analyticity of the functions...

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Bibliographic Details
Published in:TWMS journal of applied and engineering mathematics Vol. 4; no. 1; p. 56
Main Author: Kuroki, Kazuo
Format: Journal Article
Language:English
Published: Istanbul Turkic World Mathematical Society 01.01.2014
Elman Hasanoglu
Subjects:
Analysis
Applied mathematics
Engineering
Functional equations
Functions
Functions of complex variables
Integral equations
Mathematical analysis
United States
ISSN:2146-1147, 2146-1147
Online Access:Get full text
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Summary:For some complex number [gamma] which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator [I.sub.[gamma]] was proven by D. J. Hallenbeck and St. Ruscheweyh (Proc. Amer. Math. Soc. 52(1975), 191-195). By considering the analyticity of the functions defined by the Bernardi integral operator [I.sub.[gamma]] for some non-zero complex number [gamma] with Re [gamma] [less than or equal to] 0, an extension for certain subordination relation are discussed. Keywords: Analytic function, Univalent function, Integral operator, Subordination. AMS Subject Classification: Primary 30C45.
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ISSN:2146-1147
2146-1147