Geodesic
Zalcman conjecture and Hankel determinant of order three for starlike and convex functions associated with shell-like curves
Problemy analiza, Tome 9 (2020) no. 2, pp. 119-137

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The aim of this article is to estimate an upper bound of $|H_3(1)|$, the Zalcman coefficient functional for $n=3$ and $n=4$, and also to investigate the fifth, sixth, seventh coefficients of starlike and convex functions associated with shell-like curves. Similar type of outcomes are estimated for the functions $f^{-1} $ and $\frac{z}{f\left(z\right)}$.
Keywords: analytic function, function with positive real part, starlike function, Zalcman conjecture, shell-like curve, Hankel determinant.
Mots-clés : subordination 
@article{PA_2020_9_2_a7,
     author = {V. Suman Kumar and R. Bharavi Sharma},
     title = {Zalcman conjecture and {Hankel} determinant of order three for starlike and convex functions associated with shell-like curves},
     journal = {Problemy analiza},
     pages = {119--137},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_2020_9_2_a7/}
}
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V. Suman Kumar; R. Bharavi Sharma. Zalcman conjecture and Hankel determinant of order three for starlike and convex functions associated with shell-like curves. Problemy analiza, Tome 9 (2020) no. 2, pp. 119-137. http://geodesic.mathdoc.fr/item/PA_2020_9_2_a7/