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On the Bessel function $\def \xmlpi #1{}\def \mathsfbi #1{\boldsymbol {\mathsf {#1}}}\let \le =\leqslant \let \leq =\leqslant \let \ge =\geqslant \let \geq =\geqslant \def \Pr {\mathit {Pr}}\def \Fr {\mathit {Fr}}\def \Rey {\mathit {Re}}J_\nu (x)$ in the transition region

Published online by Cambridge University Press:  01 June 2014

Ilia Krasikov*
Affiliation:
Department of Mathematical Sciences, Brunel University, Uxbridge UB8 3PH, United Kingdom email mastiik@brunel.ac.uk

Abstract

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We give an approximation for the value of the Bessel function $J_\nu (x)$ in the transition region with an explicit sharp error term.

Type
Research Article
Copyright
© The Author 2014 

References

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