与广义Bessel函数相关的解析函数类  

Classes of analytic functions related to generalized Bessel functions

作　　者：董秋月 张恒 DONG Qiuyue;ZHANG Heng(School of Mathematical Science,Yangzhou University,Yangzhou 225002,China)

机构地区：[1]扬州大学数学科学学院

出　　处：《山东理工大学学报（自然科学版）》2020年第2期17-20,共4页Journal of Shandong University of Technology:Natural Science Edition

基　　金：国家自然科学基金项目(11571299)

摘　　要：利用微分从属性质,根据目标函数与广义Bessel函数的变换关系,定义了可容许函数类。由可容许函数类性质定理,分析出广义Bessel函数属于函数类的等价条件,进一步改变参数条件得出广义Bessel函数属于函数类的其他充分条件。Based on the transformation relation between objective function and generalized Bessel function,a class of admissible functions is defined by using the property of differential subordinate.By using the property theorem of admissible functions,the equivalent condition under which generalized Bessel function belongs to function class is analyzed.By further changing the parameter condition,other sufficient conditions are obtained for generalized Bessel function belongs to function class.

关 键 词：广义Bessel函数 解析函数 微分从属 

分 类 号：O174.5[理学—数学]