대한수학회지 (Journal of the Korean Mathematical Society)

  • 제51권3호
  • /
  • Pages.567-592
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  • 2014
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  • 0304-9914(pISSN)
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  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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CONSTRUCTION OF SUBCLASSES OF UNIVALENT HARMONIC MAPPINGS

  • Nagpal, Sumit (Department of Mathematics University of Delhi) ;
  • Ravichandran, V. (Department of Mathematics University of Delhi)
  • 투고 : 2013.09.22
  • 발행 : 2014.05.01
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초록

Complex-valued harmonic functions that are univalent and sense-preserving in the open unit disk are widely studied. A new methodology is employed to construct subclasses of univalent harmonic mappings from a given subfamily of univalent analytic functions. The notions of harmonic Alexander operator and harmonic Libera operator are introduced and their properties are investigated.

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참고문헌

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피인용 문헌

  1. Convex Combinations of Planar Harmonic Mappings Realized Through Convolutions with Half-Strip Mappings vol.40, pp.2, 2017, https://doi.org/10.1007/s40840-016-0336-0
  2. On a subclass of harmonic close-to-convex mappings vol.188, pp.2, 2019, https://doi.org/10.1007/s00605-017-1138-7