New classes of $k$-uniformly convex and starlike functions
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Abstract
Certain classes of analytic functions are defined which will generalize new, as well as well-known, classes of k-uniformly convex and starlike functions. We provide necessary and sufficent coefficient conditions, distortion bounds, extreme points and radius of starlikeness for these classes.
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Aqlan, E. ., Jahangiri, J. M., & Kulkarni, S. R. (2004). New classes of $k$-uniformly convex and starlike functions. Tamkang Journal of Mathematics, 35(3), 261–266. https://doi.org/10.5556/j.tkjm.35.2004.207
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