Geodesic
$k^{th}$ root transformations for some subclasses of alpha convex functions defined through convolution
Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1.

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In this paper we introduce a new subclass of analytic functions defined through convolution. We obtain the sharp upper bounds for the coefficient functional corresponding to the $k^{th}$ root transformation for the function $f$ in this class. Similar problems are investigated for the inverse function and $\frac{z}{f(z)}$. The results of this paper generalise the work of earlier researchers in this direction.
Publié le :
DOI : 10.30755/NSJOM.02459
Classification : 30C45, 30C50, 30C80
Keywords: analytic functions, subordination, $k^{th}$ root transformation, starlike function; convex function, convolution 
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     author = {M. Haripriya and R.B. Sharma and T. Ram Reddy},
     title = {$k^{th}$ root transformations for some subclasses of alpha convex functions defined through convolution},
     journal = {Novi Sad Journal of Mathematics},
     pages = {131 - 146},
     publisher = {mathdoc},
     volume = {46},
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     year = {2016},
     doi = {10.30755/NSJOM.02459},
     url = {http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.02459/}
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M. Haripriya; R.B. Sharma; T. Ram Reddy. $k^{th}$ root transformations for some subclasses of alpha convex functions defined through convolution. Novi Sad Journal of Mathematics, Tome 46 (2016) no. 1. doi : 10.30755/NSJOM.02459. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.02459/

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