4 papers
Riccati type recursions for some infinite series involving zeros of Bessel functions of the first kind
Ã. Baricz, A. F. Skorka
Some infinite series involving the positive zeros of Bessel functions of the first kind are investigated. The motivation behind these series lies in quantum mechanical perturbation…
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…
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…
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…