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Geometric and monotonic properties of hyper-Bessel functions. (arXiv:1802.05226v1 [math.CV])
来源于:arXiv
Some geometric properties of a normalized hyper-Bessel functions are
investigated. Especially we focus on the radii of starlikeness, convexity, and
uniform convexity of hyper-Bessel functions and we show that the obtained radii
satisfy some transcendental equations. In addition, we give some bounds for the
first positive zero of normalized hyper-Bessel functions, Redheffer-type
inequalities, and bounds for this function. In this study we take advantage of
Euler-Rayleigh inequalities and Laguerre-P\'{o}lya class of real entire
functions, intensively. 查看全文>>