3 papers
math.CV2025
Bounds and asymptotic expansions for the radii of convexity and uniform convexity of normalized Bessel functions
Ãrpád Baricz, Pranav Kumar, Sanjeev Singh
This paper explores the asymptotic behaviour of the radii of convexity and uniform convexity for normalized Bessel functions with respect to large order. We provide detailed asympt…
math.CA2025
The radius of starlikeness of regular Coulomb wave functions
Ãrpád Baricz, Pranav Kumar, Sanjeev Singh
Motivated by the pioneering work of M.S. Robertson [Ro54] and R.K. Brown [Br60], [Br62], who examined the geometric properties of some normalised solutions of second-order homogene…
math.CA2025
Asymptotic behavior of zeros of Bessel function derivatives
Ãrpád Baricz, Pranav Kumar, Saminathan Ponnusamy
We derive two distinct asymptotic expansions for the zeros of the -th derivative of Bessel function . The first is a McMahon-type expansion for t…