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一类利用Salagean算子定义的解析函数族

, PP. 678-681

Keywords: Salagean算子,系数不等式,偏差不等式,极值点,分值不等式

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Abstract:

定义了一类新的在单位圆盘U内单叶解析的函数族Mm,n(α,β)={f(z)Re(Dmf(z)Dnf(z))1,β≤0,m∈N,n∈N0},利用解不等式的技巧和解析函数理论,研究了它的系数不等式、包含关系、偏差不等式、极值点问题和积分值不等式,推广了一些作者的研究结果.

References

[1]  Shams S, Kulkarni S R, Jahangir J M. Classes of uniformly starlike and convex functions[J]. Int J Math Sci,2004,55:2959-2961.
[2]  Salagean G S. Subclasses of univalent functions[C]//Lect Notes Math. New York:Springer-Verlag,1983,1013:362-372.
[3]  王胜军,窦井波. 一类退化椭圆算子的强Hardy型不等式及其应用[J]. 广西师范大学学报:自然科学版,2010,28(1):18-22. [4] 王胜军, 窦井波. Greiner 算子在R2n+1上的Poincar不等式及Hardy-Sobolev不等式[J]. 广西师范大学学报:自然科学版,2012,30(1):30-34.
[4]  陈顺清. 二阶p-Laplacian算子方程的正周期解[J]. 四川师范大学学报:自然科学版,2012,30(1):30-34.
[5]  Eker S S, Owa S. Certain classes of analytic functions involving Salagean operator[J]. J Inequal Pure Appl Math,2009,10:88-99.
[6]  Silverman H. Univalent functions with negative coefficients[J]. Proc Am Math Soc,1975,51:109-116.
[7]  Eker S S, Owa S. New applications of classes of analytic functions involving the Salagean operator[C]//Proc Inter Symp Complex Func Theory Appl. Brasov:Transilvania University of Brasov Printing House,2006:21-34.
[8]  Nishiwaki J, Owa S. Coefficient for analytic functions[J]. Inter J Math Sci,2002,29:285-290.
[9]  Owa S, Nishiwaki J. Coefficient estimates for certain classes of analytic functions[J]. J Inequal Pure Appl Math,2002,3:1-5.
[10]  Srivastava H M, Eker S S. Some applications of a subordination theorem for a class of analytic functions[J]. Appl Math Lett,2008,21:394-399.
[11]  Nishiwaki J, Owa S. Certain classes of anaytic functions concerned with uniformly starlike and convex functions[J]. Appl Math Comput,2007,187:350-355.
[12]  李觉友. 关于s-预不变凸函数的Hadamard型不等式[J]. 重庆师范大学学报:自然科学版,2010,27(4):5-8.
[13]  罗健英. Hadamard不等式的推广及应用[J]. 四川师范大学学报:自然科学版,2001,24(1):45-50.
[14]  陈广生,丁宣浩. 一个新的Hilbert 型积分不等式[J]. 重庆师范大学学报:自然科学版,2011,28(1):37-39.
[15]  Littlewood J E. On inequalities in the theory of functions[J]. Proc London Math Soc,1925,23:481-519.
[16]  Duren P L. Univalent Functions[M]. New York:Springer-Verlag,1983.

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