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ON A NEW SUBCLASS OF HARMONIC MEROMORPHIC FUNCTIONS WITH FIXED RESIDUE ξ

Year 2014, Volume: 4 Issue: 1, 92 - 97, 01.06.2014

Abstract

We use the differential operator D n,µ λ,δ,φ to introduce a new class SHn,γ,β,ξ λ,δ,φ,µ w, k, α of meromorphic harmonic functions with fixed residue ξ in Uw. Then we give the coefficient estimates, distortion theorem and extreme points of classes SHn,γ,β,ξ λ,δ,φ,µ w, k, α and SHn,γ,β,ξ λ,δ,φ,µ [w, k, α] .

References

  • Avci, Y. and Zlotkiewicz, E., (1990), On harmonic univalent mappings, Ann. Univ. Marie Curie- Skolodowska Sect. A., 44, 1-7.
  • Bostancı, H., Yal¸cın, S. and ¨Ozt¨urk, M., (2007), On meromorphically harmonic starlike functions with respect to symmetric conjugate points, J. Math. Anal. Appl., 328, 370-379.
  • Clunie, J. and Sheil-Small, T., (1984), Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. Al. Math., 9, 3-25.
  • Jahangiri, J. M. and Silverman, H., (2002), Harmonic close-to-convex mappings, J. Appl. Math. Stochast. Anal., 15, 23-28.
  • Jahangiri, J. M., Kim, Y. C. and Srivastava, H. M., (2003), Consturiction of a certain class of harmonic close-to-convex functions associated with the Alexander integral transform, Spec. Funct., 14, 237-242.
  • Silverman, H., (1998), Harmonic univalent functions with negative coefficients, J. Math. Anal. Appl., 220, 283-289.
Year 2014, Volume: 4 Issue: 1, 92 - 97, 01.06.2014

Abstract

References

  • Avci, Y. and Zlotkiewicz, E., (1990), On harmonic univalent mappings, Ann. Univ. Marie Curie- Skolodowska Sect. A., 44, 1-7.
  • Bostancı, H., Yal¸cın, S. and ¨Ozt¨urk, M., (2007), On meromorphically harmonic starlike functions with respect to symmetric conjugate points, J. Math. Anal. Appl., 328, 370-379.
  • Clunie, J. and Sheil-Small, T., (1984), Harmonic univalent functions, Ann. Acad. Sci. Fenn. Ser. Al. Math., 9, 3-25.
  • Jahangiri, J. M. and Silverman, H., (2002), Harmonic close-to-convex mappings, J. Appl. Math. Stochast. Anal., 15, 23-28.
  • Jahangiri, J. M., Kim, Y. C. and Srivastava, H. M., (2003), Consturiction of a certain class of harmonic close-to-convex functions associated with the Alexander integral transform, Spec. Funct., 14, 237-242.
  • Silverman, H., (1998), Harmonic univalent functions with negative coefficients, J. Math. Anal. Appl., 220, 283-289.
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Details

Primary Language English
Journal Section Research Article
Authors

F. Muge Sakar This is me

H. Ozlem Guney This is me

Publication Date June 1, 2014
Published in Issue Year 2014 Volume: 4 Issue: 1

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