×

Meromorphic starlike functions of order \(\alpha\) with alternating coefficients. (English) Zbl 0851.30007

Summary: Coefficient inequalities, distortion theorems and class preserving integral operators are obtained for meromorphic functions with alternating coefficients that are starlike of order \(\alpha\), \(0 \leq \alpha < 1\).

MSC:

30C50 Coefficient problems for univalent and multivalent functions of one complex variable
30C45 Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.)
PDFBibTeX XMLCite
Full Text: Numdam EuDML

References:

[1] M.K. Aouf - H.M. Hossen , New criteria for meromorphic univalent functions of order \alpha , Nihonkai Math. J. , 5 ( 1994 ), no. 1 , pp. 1-11. Zbl 0957.30502 · Zbl 0957.30502
[2] M.D. Ganigi - B.A. Uralegaddi , New criteria for meromorphic univalent functions , Bull. Math. Soc. Sci. Math. R.S. Roumanie (N.S.), 33 ( 81 ) ( 1989 ), no. 1 , pp. 9 - 13 . MR 1044173 | Zbl 0674.30014 · Zbl 0674.30014
[3] H. Silverman , Univalent functions with negative coefficients , Proc. Amer. Math. Soc. , 51 ( 1975 ), pp. 109 - 116 . MR 369678 | Zbl 0311.30007 · Zbl 0311.30007 · doi:10.2307/2039855
[4] B.A. Uralegaddi - M.D. Ganigi , Meromorphic starlike functions with alternating coefficients , Rend. Mat. ( 7 ), 11 ( 1991 ), pp. 441 - 446 . MR 1136515 | Zbl 0742.30014 · Zbl 0742.30014
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.