一些特殊函数的星形和凸形的指数半径

Adiba Naz, Sumit Nagpal, V. Ravichandran
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引用次数: 0

摘要

利用 Hadamard 因式分解,研究了各种特殊函数(如赖特函数、洛美尔函数、斯特鲁夫函数、Ramanujan 型全函数、交叉积和贝赛尔函数的积)的星性和凸性指数半径。对于这些特殊函数中出现的参数的特定范围,星度和凸度指数半径的精确值是作为超越方程的解计算出来的。特殊函数的零点及其导数的交错特性是用来证明这些结果的基本技术。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Exponential radii of starlikeness and convexity of some special functions

Exponential radii of starlikeness and convexity of some special functions

Using the Hadamard factorization, the exponential radii of starlikeness and convexity for various special functions like Wright function, Lommel function, Struve function, Ramanujan type entire function, cross product and product of Bessel function have been investigated. For certain ranges of the parameters appearing in these special functions, the precise values of the exponential radii of starlikeness and convexity are calculated as the solutions of transcendental equations. The interlacing property of the zeros of special functions and their derivatives is the fundamental technique utilized to demonstrate these results.

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