Geometric and monotonic properties of hyper-Bessel functions

İbrahim Aktaş, A. Baricz, Sanjeev Singh

Research output: Contribution to journalArticle

1 Citation (Scopus)


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.

Original languageEnglish
JournalRamanujan Journal
Publication statusPublished - Jan 1 2019


  • Convex and uniformly convex functions
  • Convexity and uniform convexity
  • Hyper-Bessel functions
  • Laguerre–Pólya class of entire functions
  • Radius of starlikeness
  • Starlike
  • Zeros of hyper-Bessel functions

ASJC Scopus subject areas

  • Algebra and Number Theory

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