亚纯多叶函数Ω_(n+p)~+(A,B)的部分和与邻域性质
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摘要
利用解析函数中的微分从属研究了亚纯多叶函数类Ω+n+p(A,B)的部分和性质,进一步探讨了Ωn+p(A,B)的邻域性质.
The studies of convolution operator and applications of differential differential subordination and superordination play a very important role in the analytic function theory. This paper is studied the various partial Sums properties and characteristics of these classes of Ω+n + p( A,B) with differential subordination in analytic function theory,and then discusses the nature of the neighborhood sum of Ω+n + p( A,B).
The studies of convolution operator and applications of differential differential subordination and superordination play a very important role in the analytic function theory. This paper is studied the various partial Sums properties and characteristics of these classes of Ω+n + p( A,B) with differential subordination in analytic function theory,and then discusses the nature of the neighborhood sum of Ω+n + p( A,B).
引文
[1]陶玉琴,杨颖.亚纯多叶函数的性质[J].廊坊师范学院学报:自然科学版,2014,14(1):23-25.
[2]陶玉琴,杨颖.用线性算子定义的一类亚纯多叶函数[J].阜阳师范学院学报:自然科学版,2014,31(2):12-14.
[3]Jack I S.Functions starlike and convex of order[J].London Math Soc,1971,23(3):469-474.
[4]Liu J L,Srivastava H M.A linear operator and associated families of meromorphically multivalent functions[J].Math Anal Appl,2001,259(2):566-581.
[5]Liu J L,Srivastava H M.Some convolution conditions for starlikeness and convexity of meromophically multivalent funcyion[J].Appl Math Lett,2003,16(1):13-16.
[2]陶玉琴,杨颖.用线性算子定义的一类亚纯多叶函数[J].阜阳师范学院学报:自然科学版,2014,31(2):12-14.
[3]Jack I S.Functions starlike and convex of order[J].London Math Soc,1971,23(3):469-474.
[4]Liu J L,Srivastava H M.A linear operator and associated families of meromorphically multivalent functions[J].Math Anal Appl,2001,259(2):566-581.
[5]Liu J L,Srivastava H M.Some convolution conditions for starlikeness and convexity of meromophically multivalent funcyion[J].Appl Math Lett,2003,16(1):13-16.