Generalized trigonometric functions
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- by F. D. Burgoyne PDF
- Math. Comp. 18 (1964), 314-316 Request permission
Corrigendum: Math. Comp. 20 (1966), 643.
References
- A. C. Dixon, “On the doubly periodic functions arising out of the curve ${x^3} + {y^3} - 3axy = 1$,” Quart. J. Math., v. 24, 1890, p. 167-233.
O. S. Adams, Elliptic Functions Applied to Conformal World Maps, U. S. Coast and Geodetic Survey, Spec. Pub. 112, Washington, D. C., 1925.
- Mariette Laurent, Table de la fonction elliptique de Dixon pour l’intervalle $0$–$0$, $1030$, Acad. Roy. Belgique. Bull. Cl. Sci. (5) 35 (1949), 439–450 (French). MR 0031321
- Paul F. Byrd and Morris D. Friedman, Handbook of elliptic integrals for engineers and physicists, Die Grundlehren der mathematischen Wissenschaften in Einzeldarstellungen mit besonderer Berücksichtigung der Anwendungsgebiete. Band LXVII, Springer-Verlag, Berlin-Göttingen-Heidelberg, 1954. MR 0060642
- David Shelupsky, A generalization of the trigonometric functions, Amer. Math. Monthly 66 (1959), 879–884. MR 111861, DOI 10.2307/2309789
Additional Information
- © Copyright 1964 American Mathematical Society
- Journal: Math. Comp. 18 (1964), 314-316
- MSC: Primary 33.10
- DOI: https://doi.org/10.1090/S0025-5718-1964-0164066-5
- MathSciNet review: 0164066