Pranav Kumar

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math.CA2025

The radius of starlikeness of regular Coulomb wave functions

ÃrpÃ¡d 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

ÃrpÃ¡d Baricz, Pranav Kumar, Saminathan Ponnusamy

We derive two distinct asymptotic expansions for the zeros $j_{I^½, k}^{(n)}$ of the $n$ -th derivative of Bessel function $J_{I^} ½^{(n)} (x)$ . The first is a McMahon-type expansion for t…