Computation of Asymptotic Expansions of Turning Point Problems via Cauchy’s Integral Formula: Bessel Functions
Author:
Publisher
Springer Science and Business Media LLC
Subject
Computational Mathematics,General Mathematics,Analysis
Link
http://link.springer.com/article/10.1007/s00365-017-9372-8/fulltext.html
Reference12 articles.
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2. Amos, D.E., Daniel, S.L., Weston, M.K.: CDC 6600 subroutines IBESS and JBESS for Bessel functions $$I_{\nu }(x)$$ I ν ( x ) and $$J_{\nu }(x), x\ge 0,\nu \ge 0$$ J ν ( x ) , x ≥ 0 , ν ≥ 0 . ACM Trans. Math. Softw. 3(1), 76–92 (1977)
3. Bornemann, F.: Accuracy and stability of computing high-order derivatives of analytic functions by Cauchy integrals. Found. Comput. Math. 11(1), 1–63 (2011)
4. Boyd, W.G.C.: Asymptotic expansions for the coefficient functions that arise in turning-point problems. Proc. R. Soc. London Ser. A 410(1838), 35–60 (1987)
5. Dunster, T.M.: Asymptotics of the eigenvalues of the rotating harmonic oscillator. J. Comput. Appl. Math. 93(1), 45–73 (1998)
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