Some Fox-Wright generalized hypergeometric functions and associated families of convolution operators
Some Fox-Wright generalized hypergeometric functions and associated families of convolution operators
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DOI：
10.2298/aadm0701056s
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发表时间：
2007
影响因子：
0.9
通讯作者：
H. Srivastava
中科院分区：
文献类型：
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作者：
H. Srivastava
在这里，在这堂课中，我们旨在系统地介绍几类解析函数(具有Montel正规化)的基本性质和特征，它们是基于Hilbert空间上的一些卷积算子，涉及经典超几何QF函数(具有Q分子和S分母参数)的Fox-Wright推广。在本讲座中给出的各种结果包括(例如)赋范系数不等式和估计、偏差定理以及这里所研究的每一种解析函数类的凸性和星形半径。我们还简要地指出了这里所考虑的一些结果与涉及Dziok-Sriastava算子的结果之间的相关联系。
Here, in this lecture, we aim at presenting a systematic account of the basic properties and characteristics of several subclasses of analytic functions (with Montel’s normalization), which are based upon some convolution operators on Hilbert space involving the Fox-Wright generalization of the classical hypergeometric qFs function (with q numerator and s denominator parameters). The various results presented in this lecture include (for example) normed coefficient inequalities and estimates, distortion theorems, and the radii of convexity and starlikeness for each of the analytic function classes which are investigated here. We also briefly indicate the relevant connections of the some of the results considered here with those involving the Dziok-Srivastava operator.