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EXTENSIONS FOR CERTAIN SUBORDINATION RELATIONS

Yıl 2014, Cilt: 4 Sayı: 1, 56 - 61, 01.06.2014

Öz

For some complex number γ which has a positive real part, a certain subordination relation concerned with the Bernardi integral operator Iγ was proven by D. J. Hallenbeck and St. Ruscheweyh Proc. Amer. Math. Soc. 52 1975 , 191-195 . By considering the analyticity of the functions defined by the Bernardi integral operator Iγ for some non-zero complex number γ with Re γ ≤ 0, an extension for certain subordination relation are discussed.

Kaynakça

  • Alexander, J. W., (1915), Functions which map the interior of the unit circle upon simple regions, Ann. of Math., 17, 12-22.
  • Bernardi, S. D., (1983), Bibliography of Schlicht Functions, Mariner Publishing Company, Tampa, Florida.
  • Hallenbeck, D. J. and Ruscheweyh, St., (1975), Subordination by convex functions, Proc. Amer. Math. Soc., 52, 191-195.
  • Kuroki, K. and Owa, S., On the univalence conditions for certain class of analytic functions, Hokkaido Math. J., in press.
  • Kuroki, K. and Owa, S., Notes on the open door lemma, Rendiconti del Seminario Matematico della Universit`a di Padova., accepted.
  • Miller, S. S. and Mocanu, P. T., (2000), Differential Subordinations, Pure and Applied Mathematics, 225, Marcel Dekker.
Yıl 2014, Cilt: 4 Sayı: 1, 56 - 61, 01.06.2014

Öz

Kaynakça

  • Alexander, J. W., (1915), Functions which map the interior of the unit circle upon simple regions, Ann. of Math., 17, 12-22.
  • Bernardi, S. D., (1983), Bibliography of Schlicht Functions, Mariner Publishing Company, Tampa, Florida.
  • Hallenbeck, D. J. and Ruscheweyh, St., (1975), Subordination by convex functions, Proc. Amer. Math. Soc., 52, 191-195.
  • Kuroki, K. and Owa, S., On the univalence conditions for certain class of analytic functions, Hokkaido Math. J., in press.
  • Kuroki, K. and Owa, S., Notes on the open door lemma, Rendiconti del Seminario Matematico della Universit`a di Padova., accepted.
  • Miller, S. S. and Mocanu, P. T., (2000), Differential Subordinations, Pure and Applied Mathematics, 225, Marcel Dekker.
Toplam 6 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Kazuo Kuroki Bu kişi benim

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

Kaynak Göster