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The purpose of the present paper is to study certain radii problems for the function $$f(z)=\[{\frac{z^{1-{\gamma}}}{{\gamma}+{\beta}}}\(z^{\gamma}[D^nF(z)]^{\beta}\)^{\prime}\]^{1/{\beta}}$$, where ${\beta}$ is a positive real number, ${\gamma}$ is a complex number such that ${\gamma}+{\beta}{\neq}0$ and the function F(z) varies various subclasses of analytic functions with fixed second coefficients. Relevant connections of the results presented herewith various well-known results are briefly indicated.
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참고문헌 (13)
참고문헌 신청
H.S. Al-Amiri / 1973 / On the radius of univalence of certain analytic functions / Colloq. Math. 28:133~139
P.L. Duren / 1983 / Grundleherem der Mathematischen Wissenchaften 259 / Springer-Verlag
V.P. Gupta / 1979 / On the radius of univalence of certain classes of analytic functions with fixed second coefficients / Rend. Math. 12:423~430
E. Kadioglu / 2003 / On subclass of univalent functions with negative coefficients / Appl. Math. Comput. 146:351~358
V. Kumar / 1983 / On univalent functions with flxed second coefficient / Indian J. Pure Appl. Math. 14(11):1424~1430
P.L. Duren / 1983 / Grundleherem der Mathematischen Wissenchaften 259 / Springer-Verlag
V.P. Gupta / 1979 / On the radius of univalence of certain classes of analytic functions with fixed second coefficients / Rend. Math. 12:423~430
E. Kadioglu / 2003 / On subclass of univalent functions with negative coefficients / Appl. Math. Comput. 146:351~358
V. Kumar / 1983 / On univalent functions with flxed second coefficient / Indian J. Pure Appl. Math. 14(11):1424~1430
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