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Uniform asymptotic formulae for functions with transition points. (English) Zbl 0036.06102


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[1] H. Jeffreys, Monthly Notices of the Royal Astronomical Society. Geophysical Supplement. vol. 2 (1928) pp. 101-111.
[2] -British Association Tables, Part Volume B, J. C. P. Miller, 1946.
[3] Rudolph E. Langer, On the asymptotic solutions of differential equations, with an application to the Bessel functions of large complex order, Trans. Amer. Math. Soc. 34 (1932), no. 3, 447 – 480. · Zbl 0005.15801
[4] T. M. Cherry, Uniform asymptotic expansions, J. London Math. Soc. 24 (1949), 121 – 130. · Zbl 0045.34402
[5] F. Tricomi, Sulle funzioni di Bessel di ordine e argomento pressoche uquali, Atti della Accademia delle Scienze di Torino vol. 83 (1947-1948). · Zbl 0036.03903
[6] G. N. Watson, Bessel functions, §§8.4-8.42. · Zbl 0018.05903
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