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math.CA2026
Riccati type recursions for some infinite series involving zeros of Bessel functions of the first kind
Á. 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…
math.CA2025
The radius of starlikeness of regular Coulomb wave functions
Árpád 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.CA2015
Turán type inequalities for general Bessel functions
Árpád Baricz, Saminathan Ponnusamy, Sanjeev Singh
In this paper some Turán type inequalities for the general Bessel function, monotonicity and bounds for its logarithmic derivative are derived. Moreover we find the series represen…