Geometric and monotonic properties of hyper-Bessel functions

İbrahim Aktaş, A. Baricz, Sanjeev Singh

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

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
DOIs
Publication statusPublished - Jan 1 2019

Keywords

  • 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

Fingerprint Dive into the research topics of 'Geometric and monotonic properties of hyper-Bessel functions'. Together they form a unique fingerprint.

  • Cite this