Successive coefficients for spirallike and related functions View Full Text


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Article Info

DATE

2019-03-28

AUTHORS

Vibhuti Arora, Saminathan Ponnusamy, Swadesh Kumar Sahoo

ABSTRACT

We consider the family of all analytic and univalent functions in the unit disk of the form f(z)=z+a2z2+a3z3+⋯. Our objective in this paper is to estimate the difference of the moduli of successive coefficients, that is ||an+1|-|an||, for f belonging to the family of γ-spirallike functions of order α. Our particular results include the case of starlike and convex functions of order α and other related class of functions. More... »

PAGES

1-11

References to SciGraph publications

  • 2017-06. A Note on Successive Coefficients of Convex Functions in COMPUTATIONAL METHODS AND FUNCTION THEORY
  • 2014-12. Extremal problems on the class of convex functions of order −1/2 in ARCHIV DER MATHEMATIK
  • 1968-12. On the mutual growth of neighboring coefficients of univalent functions in MATHEMATICAL NOTES
  • 1985-03. A proof of the Bieberbach conjecture in ACTA MATHEMATICA
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1007/s13398-019-00664-x

    DOI

    http://dx.doi.org/10.1007/s13398-019-00664-x

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1113047897


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