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Timeline for Upper bounds for Bessel functions

Current License: CC BY-SA 4.0

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Dec 21, 2020 at 16:28 vote accept mape
Dec 10, 2020 at 15:37 answer added Iosif Pinelis timeline score: 4
Dec 9, 2020 at 22:36 comment added mape I am sorry for not being precise enough; originally, I have not wanted to go into details, but now I will be more "concrete". Giving a look to the estimate (14) in the proof of Theorem 3 of the 2016 paper "Criterion for the Solvability of the Cauchy Problem for an Abstract Euler–Poisson–Darboux Equation" written by A.V. Glushak and O.A. Pokruchin, I have the impression that for real $\nu$ and positive $x$ the estimate $|K_{\nu}(x)|\leq \frac{1}{\sqrt{x}}e^{-x}$ is valid. I do not understand this result and I wonder where estimates of this kind can be found.
S Dec 9, 2020 at 19:28 history suggested RobPratt
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Dec 9, 2020 at 19:10 answer added Martin Väth timeline score: 1
Dec 9, 2020 at 18:57 review Suggested edits
S Dec 9, 2020 at 19:28
Dec 9, 2020 at 18:56 comment added Iosif Pinelis What properties do you want the upper bounds to have? For what values of $\nu$ and $x$? What is the "another paper"?
Dec 9, 2020 at 18:25 review First posts
Dec 9, 2020 at 18:50
Dec 9, 2020 at 18:23 history asked mape CC BY-SA 4.0