刘名生. 推广的非 Bazilevic函数的beta 阶星像性[J]. 华南师范大学学报(自然科学版), 2013, 45(1). doi: 10.6054/j.jscnun.2012.12.002
引用本文: 刘名生. 推广的非 Bazilevic函数的beta 阶星像性[J]. 华南师范大学学报(自然科学版), 2013, 45(1). doi: 10.6054/j.jscnun.2012.12.002
Liu Ming-Sheng. Starlikeness of order beta for generalized non-Bazilevic functions[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(1). doi: 10.6054/j.jscnun.2012.12.002
Citation: Liu Ming-Sheng. Starlikeness of order beta for generalized non-Bazilevic functions[J]. Journal of South China Normal University (Natural Science Edition), 2013, 45(1). doi: 10.6054/j.jscnun.2012.12.002

推广的非 Bazilevic函数的beta 阶星像性

Starlikeness of order beta for generalized non-Bazilevic functions

  • 摘要: 建立了2个微分从属引理,应用微分从属和微分不等式的方法,得到了非 Bazilevi\uc函数是\beta 阶星像函数和强星像函数的一些充分条件.

     

    Abstract: The starlikeness of order \beta and strongly starlikeness for generalized non-Bazilevi\uc functions are investigated. Firstly, two lemmas of differential subordination are established. By applying differential subordination and differential inequality, some sufficient conditions are obtained for validating that generalized class of non-Bazilevi\uc functions are a subclass of starlike functions of order \beta or strongly starlike functions of order \gamma.

     

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