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Geometric and monotonic properties of hyper-Bessel functionsAktaş, İbrahimBaricz, ÁrpádSingh, SanjeevConvex and uniformly convex functionsConvexity and uniform convexityHyper-Bessel functionsLaguerre–Pólya class of entire functionsRadius of starlikenessStarlikeZeros of hyper-Bessel functionsSome 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.Springer2020Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/14797https://doi.org/10.1007/s11139-018-0105-91382-4090enRamanujan Journalinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/14797