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ArticleOriginal scientific text

Title

Coefficient bounds for certain classes of analytic functions

Authors 1, 2, 3

Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kanpur-208 016, India
  2. Department of Mathematics, University of Helsinki, P.o. Box 4, Hallituskatu 15, Fin-00014 Helsinki, Finland
  3. Department of Mathematics, Crescent Engineering College, Vandalur, Madras-600 048, India

Abstract

We determine coefficient estimates for α-spiral functions of order ϱ with respect to N-symmetric points (|α| = π/2, 0 ≤ ϱ = 1andNisapositive∫e≥r).Sharpcoefficientboundsarealsoobta∈edforfunctionsoftheformf(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.

Keywords

ENG
subordination, meromorphic univalent and starlike functions

Bibliography

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Annales Polonici Mathematici
1995/62/3
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Pages:
231-244
Main language of publication
English
Received
1994-03-24
Accepted
1994-12-15
Published
1995
Exact and natural sciences