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Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the q-exponential function
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2021-01-27 , DOI: 10.1016/j.bulsci.2020.102942 H.M. Srivastava , Bilal Khan , Nazar Khan , Muhammad Tahir , Sarfraz Ahmad , Nasir Khan
中文翻译:
关于与q指数函数相关的q星形函数的子类的第三个Hankel行列式的上限
更新日期:2021-01-29
Bulletin des Sciences Mathématiques ( IF 1.3 ) Pub Date : 2021-01-27 , DOI: 10.1016/j.bulsci.2020.102942 H.M. Srivastava , Bilal Khan , Nazar Khan , Muhammad Tahir , Sarfraz Ahmad , Nasir Khan
By making use of the concept of basic (or q-) calculus, a subclass of q-starlike functions, which is associated with the q-exponential function, is introduced here in the open unit disk given by The main object of this article is to determine the upper bound of the third-order Hankel determinant for functions belonging to the q-starlike function class . For validity of our results, relevant connections with those in earlier works are also pointed out.
中文翻译:
关于与q指数函数相关的q星形函数的子类的第三个Hankel行列式的上限
通过利用基本(或q-)演算的概念,一个子类与q指数函数相关联的q -starlike函数的集合在此处引入开放式单元磁盘 由 本文的主要目的是确定三阶Hankel行列式的上限 用于属于q -starlike函数类的函数。为了保证我们的结果的正确性,还指出了与早期作品中相关的联系。