►For sums of trigonometric and inversetrigonometricfunctions see Gradshteyn and Ryzhik (2015, Chapter 1), Hansen (1975, §§14–42), Oberhettinger (1973), and Prudnikov et al. (1986a, Chapter 5).
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►The main purpose of the present chapter is to extend these definitions and properties to complex arguments .
►The main functions treated in this chapter are the logarithm , ; the exponential , ; the circular trigonometric (or just trigonometric) functions
, , , , , ; the inversetrigonometricfunctions
, , etc.
; the hyperbolic trigonometric (or just hyperbolic) functions
, , , , , ; the inverse hyperbolic functions
, , etc.
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►The surfaces for the complex hyperbolic and inverse hyperbolic functions are similar to the surfaces depicted in §4.15(iii) for the trigonometric and inversetrigonometricfunctions.
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►Each is two-valued on the corresponding cut(s), and each is real on the part of the real axis that remains after deleting the intersections with the corresponding cuts.
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