张海燕, 汤获, 马丽娜. 某类解析函数的三阶Hankel行列式[J]. 华南师范大学学报(自然科学版), 2018, 50(4): 107-110. doi: 10.6054/j.jscnun.2018086
引用本文: 张海燕, 汤获, 马丽娜. 某类解析函数的三阶Hankel行列式[J]. 华南师范大学学报(自然科学版), 2018, 50(4): 107-110. doi: 10.6054/j.jscnun.2018086
ZHANG Haiyan, TANG Huo, MA Lina. The Third Hankel Determinant for Some Class of Analytic Functions[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(4): 107-110. doi: 10.6054/j.jscnun.2018086
Citation: ZHANG Haiyan, TANG Huo, MA Lina. The Third Hankel Determinant for Some Class of Analytic Functions[J]. Journal of South China Normal University (Natural Science Edition), 2018, 50(4): 107-110. doi: 10.6054/j.jscnun.2018086

某类解析函数的三阶Hankel行列式

The Third Hankel Determinant for Some Class of Analytic Functions

  • 摘要: 利用从属关系定义了与贝努利双纽线有关且具有对称点的一类解析函数L*s,讨论了函数类L*s的三阶Hankel行列式H3(1),得到了该行列式的上界估计. 其结果改进并推广了一些已有结论.

     

    Abstract: A class of analytic functions associated with lemniscate of Bernoulli and symmetric points was introduced, denoted by L*s. The Hankel determinant H3(1) for this class functions was investigated and the estimate of upper bound of the above determinant was obtained. The results improve and generalize some known results.

     

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