Geodesic
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 
@article{10_4064_ap_62_3_231_244,
     author = {O. Juneja and S. Ponnusamy and S. Rajasekaran},
     title = {Coefficient bounds for certain classes of analytic functions},
     journal = {Annales Polonici Mathematici},
     pages = {231--244},
     publisher = {mathdoc},
     volume = {62},
     number = {3},
     year = {1995},
     doi = {10.4064/ap-62-3-231-244},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-62-3-231-244/}
}
TY  - JOUR
AU  - O. Juneja
AU  - S. Ponnusamy
AU  - S. Rajasekaran
TI  - Coefficient bounds for certain classes of analytic functions
JO  - Annales Polonici Mathematici
PY  - 1995
SP  - 231
EP  - 244
VL  - 62
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap-62-3-231-244/
DO  - 10.4064/ap-62-3-231-244
LA  - en
ID  - 10_4064_ap_62_3_231_244
ER  - 
%0 Journal Article
%A O. Juneja
%A S. Ponnusamy
%A S. Rajasekaran
%T Coefficient bounds for certain classes of analytic functions
%J Annales Polonici Mathematici
%D 1995
%P 231-244
%V 62
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap-62-3-231-244/
%R 10.4064/ap-62-3-231-244
%G en
%F 10_4064_ap_62_3_231_244
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

Cité par Sources :