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Uniform Bounds for Bessel Functions
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I. Krasikov
Veröffentlicht/Copyright:
9. Juni 2010
Abstract
For ν > –1/2 and x real we shall establish explicit bounds for the Bessel function Jν(x) which are uniform in x and ν. This work and the recent result of L. J. Landau [J. Londom Math. Soc. 61: 197–215, 2000] provide relatively sharp inequalities for all real x.
Key words and phrases.: Bessel function; bounds
Received: 2001-10-08
Revised: 2004-07-26
Published Online: 2010-06-09
Published in Print: 2006-June
© Heldermann Verlag
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- Non-Cohen Oracle C.C.C.
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- Mathematical Analysis of Thermoplasticity with Linear Kinematic Hardening
- A Further Generalization of Hardy-Hilbert's Integral Inequality with Parameter and Applications
- A Note on Stability of Solutions for Abstract Semilinear Dirichlet Problems
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- Existence of Solutions for Nonlocal Boundary Value Problem with Singularity in Phase Variables
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- Minimax Inequality and Equilibria with a Generalized Coercivity
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