On the solutions of a squence of Lamé differential equations
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- by C. K. Wong PDF
- Proc. Amer. Math. Soc. 28 (1971), 481-488 Request permission
Abstract:
In a paper by H. Triebel, the solutions of some Lamé differential equations are interpreted in terms of conformal mappings. In the present paper, they are interpreted and constructed as covering projections from the unit disk onto Riemann surfaces with signature. Furthermore, the continuous dependence of solutions on the coefficient is established.References
- Lipman Bers, Uniformization by Beltrami equations, Comm. Pure Appl. Math. 14 (1961), 215–228. MR 132175, DOI 10.1002/cpa.3160140304 L. Ford, Automorphic functions, 2nd ed., Chelsea, New York, 1951. P. Koebe, Ueber die Uniformisierung beliebiger analytischer Kurven, Gött. Nach. (1907), 191-210.
- H. Triebel, Über die Lamésche Differentialgleichung, Math. Nachr. 30 (1965), 137–154 (German). MR 193291, DOI 10.1002/mana.19650300302 C. K. Wong, A continuity theorem for Fuchsian groups, Ph.D. Thesis, Columbia University, New York, 1970.
Additional Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 28 (1971), 481-488
- MSC: Primary 33.28; Secondary 34.00
- DOI: https://doi.org/10.1090/S0002-9939-1971-0284627-8
- MathSciNet review: 0284627