Solution about a singular point of a linear differential equation involving a large parameter
HTML articles powered by AMS MathViewer
- by Robert McKelvey PDF
- Trans. Amer. Math. Soc. 91 (1959), 410-424 Request permission
References
- Herbert Buchholz, Die konfluente hypergeometrische Funktion mit besonderer Berücksichtigung ihrer Anwendungen, Ergebnisse der angewandten Mathematik. Bd. 2, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1953 (German). MR 0054783 N. D. Kazarinoff and R. W. McKelvey, A note on the asymptotic behavior of Laguerre polynomials and functions for large $n$, Bull. Amer. Math. Soc. Abstract 62-6-677.
- Rudolph E. Langer, The asymptotic solutions of ordinary linear differential equations of the second order, with special reference to a turning point, Trans. Amer. Math. Soc. 67 (1949), 461–490. MR 33420, DOI 10.1090/S0002-9947-1949-0033420-2
- Rudolph E. Langer, On the asymptotic solutions of ordinary differential equations, with reference to the Stokes’ phenomenon about a singular point, Trans. Amer. Math. Soc. 37 (1935), no. 3, 397–416. MR 1501793, DOI 10.1090/S0002-9947-1935-1501793-7
- Robert W. McKelvey, The solutions of second order linear ordinary differential equations about a turning point of order two, Trans. Amer. Math. Soc. 79 (1955), 103–123. MR 69344, DOI 10.1090/S0002-9947-1955-0069344-7
Additional Information
- © Copyright 1959 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 91 (1959), 410-424
- MSC: Primary 34.00
- DOI: https://doi.org/10.1090/S0002-9947-1959-0113017-2
- MathSciNet review: 0113017