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- W106345315 abstract "The new definitions for sin t and cos t have led, for real values of t, to the functions that are defined on the entire real axis on the basis of geometric considerations. For the hyperbolic functions sinh t and cosh t, there is no need to go through the analogous proof. This is true because the difference between the cases of the circular and hyperbolic functions consists in the fact that sin t is treated as a function of the real variable inverse to the integral. The hyperbolic sine, on the other hand, is treated as the inverse of the integral. In the theory of Jacobian elliptic functions, formulas play a role analogous to the reduction formulas in trigonometry. This chapter presents derivations for the addition theorems for the circular and hyperbolic cosines." @default.
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- W106345315 date "1966-01-01" @default.
- W106345315 modified "2023-09-27" @default.
- W106345315 title "Further Study of Complex Values of the Argument" @default.
- W106345315 doi "https://doi.org/10.1016/b978-1-4832-3306-2.50009-0" @default.
- W106345315 hasPublicationYear "1966" @default.
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