About the radius of starlikeness of Bessel functions of the first kind

DOI10.1007/s00605-014-0708-1zbMath1312.33016OpenAlexW2049939404MaRDI QIDQ2255266

Róbert Szász

Publication date: 9 February 2015

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0708-1

zbMATH Keywords

radius of starlikenessBessel functionstarlike function

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (9)

Geometric and monotonic properties of Ramanujan type entire functions ⋮ The radius of convexity of normalized Bessel functions ⋮ The radius of uniform convexity of Bessel functions ⋮ Radii of starlikeness and convexity of the derivatives of Bessel function ⋮ The radii of starlikeness and convexity of the functions including derivatives of Bessel functions ⋮ Radius problems for functions containing derivatives of Bessel functions ⋮ Radii of \(\alpha \)-convexity of some normalized Bessel functions of the first kind ⋮ On confluent hypergeometric functions and generalized Bessel functions ⋮ Radii of starlikeness and convexity of Wright functions

Cites Work

• Univalence of integral operators involving Bessel functions
• Ratios of Bessel functions and roots of \(\alpha J_v(x)+xJ_v'(x)=0\)
• Starlikeness and convexity of generalized Bessel functions
• Univalence of Bessel Functions
• About the starlikeness of Bessel functions
• The radius of starlikeness of normalized Bessel functions of the first kind
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