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In this work, we first introduce a class of analytic functions involving the Dziok-Srivastava linear operator that generalizes the class of uniformly starlike functions with respect to symmetric points. We then establish the closure of certain well-known integral transforms under this analytic function class. This behaviour leads to various radius results for these integral transforms. Some of the interesting consequences of these results are outlined. Further, the lower bounds for the ratio between the functions $f(z)$ in the class under discussion, their partial sums $f_m(z)$ and the corresponding derivative functions $f'(z)$ and $f'_m(z)$ are determined by using the coefficient estimates.
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참고문헌 (30)
참고문헌 신청
R. Aghalary / 2005 / The Dziok-Srivastava operator and k-uniformly starlike functions / JIPAM. J. Inequal. Pure Appl. Math 6(2):7
A. A. Ali Abubaker / 2011 / On starlike and convex functions with respect to k-symmetric points / Int. J. Math. Math. Sci 2011:9
M. Arif / 2012 / On subclasses of analytic functions with respect to symmetrical points / Abstr. Appl. Anal 2012:11
R. Bharati / 1997 / On subclasses of uniformly convex functions and corresponding class of starlike functions / Tamkang J. Math 28(1):17~32
J. H. Choi / 2002 / Some inclusion properties of a certain family of integral operators / J. Math. Anal. Appl 276(1):432~445
A. A. Ali Abubaker / 2011 / On starlike and convex functions with respect to k-symmetric points / Int. J. Math. Math. Sci 2011:9
M. Arif / 2012 / On subclasses of analytic functions with respect to symmetrical points / Abstr. Appl. Anal 2012:11
R. Bharati / 1997 / On subclasses of uniformly convex functions and corresponding class of starlike functions / Tamkang J. Math 28(1):17~32
J. H. Choi / 2002 / Some inclusion properties of a certain family of integral operators / J. Math. Anal. Appl 276(1):432~445
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