Coefficient bounds for certain classes of analytic functions
Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 231-244.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We determine coefficient estimates for α-spiral functions of order ϱ with respect to N-symmetric points (|α| = π/2, 0 ≤ ϱ = 1$ and N is a positive integer). Sharp coefficient bounds are also obtained for functions of the form $f(z)^{-t}$, where t is a positive integer and f(z) is an α-spiral function of order ϱ. Using this we deduce coefficient estimates for inverses of univalent α-spiral and meromorphic univalent α-spiral functions with vanishing early coefficients.
DOI : 10.4064/ap-62-3-231-244
Keywords: subordination, meromorphic univalent and starlike functions

O. Juneja 1 ; S. Ponnusamy 1 ; S. Rajasekaran 1

1
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O. Juneja; S. Ponnusamy; S. Rajasekaran. Coefficient bounds for certain classes of analytic functions. Annales Polonici Mathematici, Tome 62 (1995) no. 3, pp. 231-244. doi : 10.4064/ap-62-3-231-244. http://geodesic.mathdoc.fr/articles/10.4064/ap-62-3-231-244/

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