Assefa, G.M. & Baricz, Á. (2023) Proceedings of the American Mathematical Society [Matematică, Q2]

Publicat: 04 Decembrie 2023

Assefa, G.M. & Baricz, Á. (2023) Exponential Bounds for the Logarithmic Derivative of Whittaker Functions. Proceedings of the American Mathematical Society, 151, 11, 4867-4880.

DOI: https://doi.org/10.1090/proc/16549

✓ Publisher: American Mathematical Society
✓ Web of Science Categories: Mathematics; Mathematics, Applied
✓ Web of Science Article Influence Score (AIS): 0.843 (2022) / Q2

Abstract: Some well-known results of Grönwall on logarithmic derivative of modified Bessel functions of the first kind concerning exponential bounds are extended to Whittaker functions of the first and second kind $M_{\kappa ,\mu }$ and $W_{\kappa ,\mu }$. Moreover, a complete monotonicity result is proved for the logarithmic derivative of the Whittaker function $W_{\kappa ,\mu },$ and some monotonicity results with respect to the parameters and argument are shown for the logarithmic derivative of $M_{\kappa ,\mu }.$ The results extend and complement the known results in the literature about modified Bessel functions of the first and second kind.

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