四参数Wright函数的几何性质
Geometric properties of the four parameters Wright function
摘要:
本文考虑了四参数Wright函数。讨论了该函数的星形性、凸性、一致凸性和近似凸性等几何性质。进一步研究了第一类归一化贝塞尔函数和双参数Wright函数的几何性质。有趣的推论和例子提供支持,这些结果是优于现有的,并改善了文献中的几个结果。
英文摘要:
In this paper, four parameters Wright function is considered. Certain geometric properties such as starlikeness, convexity, uniform convexity and close-to-convexity are discussed for this function. Further, certain geometric properties of normalized Bessel function of the first kind and two parameters Wright function are studied as a consequence. Interesting corollaries and examples are provided to support that these results are better than the existing ones and improve several results available in the literature.
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