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Paper detail

Geometric and monotonic properties of hyper-Bessel functions

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-Pólya class of real entire functions, intensively.

preprint2018arXivOpen access
İbrahim AktaşÁrpád BariczSanjeev Singh
math.CV
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İbrahim AktaşÁrpád BariczSanjeev Singh

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