1. Exponential bounds for the logarithmic derivative of Whittaker functions.
- Author
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Assefa, Genet M. and Baricz, Árpád
- Subjects
- *
WHITTAKER functions , *DERIVATIVES (Mathematics) , *BESSEL functions , *ASYMPTOTIC expansions , *HYPERGEOMETRIC functions , *DIFFERENTIAL equations - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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