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

Yıl 2014, Cilt: 4 Sayı: 1, 92 - 97, 01.06.2014

Öz

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] .

Kaynakça

  • 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.
Yıl 2014, Cilt: 4 Sayı: 1, 92 - 97, 01.06.2014

Öz

Kaynakça

  • 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.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

F. Muge Sakar Bu kişi benim

H. Ozlem Guney Bu kişi benim

Yayımlanma Tarihi 1 Haziran 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 4 Sayı: 1

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