期刊文献+

Some Radius Problems Related to a Certain Subclass of Analytic Functions 被引量:2

Some Radius Problems Related to a Certain Subclass of Analytic Functions
原文传递
导出
摘要 For real parameters αand β such that 0≤α 〈 1 〈β, we denote by S(α,β) the class of normalized analytic functions which satisfy the following two-sided inequality:where U denotes the open unit disk. We find a sufficient condition for functions to be in the class S(α,β) and solve several radius problems related to other well-known function classes. For real parameters αand β such that 0≤α 〈 1 〈β, we denote by S(α,β) the class of normalized analytic functions which satisfy the following two-sided inequality:where U denotes the open unit disk. We find a sufficient condition for functions to be in the class S(α,β) and solve several radius problems related to other well-known function classes.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2014年第7期1133-1144,共12页 数学学报(英文版)
关键词 Analytic functions univalent functions starlike functions functions of bounded real pos-itive real part radius problems Analytic functions, univalent functions, starlike functions, functions of bounded real pos-itive real part, radius problems
  • 相关文献

参考文献12

  • 1Amer, A., Darus, M.: On radius problems in the class of univalent functions. Internat. J. Pure Appl. Math., 73, 471-476 (2011).
  • 2Aouf, M. K., Dziok, J., Sokó ?, J.: On a subclass of strongly starlike functions. Appl. Math. Lett., 24, 27-32 (2011).
  • 3Duren, P. L.: Univalent Functions, Grundlehren der Mathematischen Wissenschaften, Band 259, Springer- Verlag, New York, Berlin, Heidelberg and Tokyo, 1983.
  • 4Kobashi, H., Kuroki, K., Owa, S.: Notes on radius problems of certain univalent functions. Gen. Math., 17(4), 5-12 (2009).
  • 5Kuroki, K., Owa, S.: Notes on new class for certain analytic functions. RIMS K?ky?roku, 1772, 21-25 (2011) RIMS K target="_blank">.
  • 6MacGregor, T. H.: A subordination for convex functions of order α. J. London Math. Soc. (Ser. 2), 9, 530-536 (1975).
  • 7Miller, S. S., Mocanu, P. T.: Differential Subordination: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, No. 225, Marcel Dekker Incorporated, New York and Basel, 2000.
  • 8Noor, K. I., Arif, M.: Some radius problems for certain classes of analytic functions with fixed second coefficients. Nonl. Funct. Anal. Appl., 15, 79-85 (2010).
  • 9R?nning, F.: Uniformly convex functions and a corresponding class of starlike functions. Proc. Amer. Math. Soc.., 118, 189-196(1993).
  • 10Sokó ?, J.: Coefficient estimates in a class of strongly starlike functions. Kyungpook Math. J., 49, 349-353 (2009).

引证文献2

二级引证文献10

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部