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HYPERBOLIC FUNCTIONS

1968
Publisher Summary This chapter discusses hyperbola functions. Sum and difference of ex, e- x occur as natural combinations, so it is convenient to have an abbreviated notation to express these relations. Functions thus defined are found to possess properties closely paralleling those of the trigonometrical functions.
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Support function and hyperbolic plane [PDF]

open access: possiblemanuscripta mathematica, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Hyperbolic Functions

The American Mathematical Monthly, 1982
(1982). Generalized Hyperbolic Functions. The American Mathematical Monthly: Vol. 89, No. 9, pp. 688-691.
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Trigonometric and Inverse Trigonometric Functions. Hyperbolic and Inverse Hyperbolic Functions

1994
If theoretical problems are under consideration, angles are not measured in degrees, but in radians (circular measure): The magnitude of an angle α is given by the length l of the arc, intercepted by the arms of the angle α on the unit circle with centre at the vertex of the angle (Fig. 2.1).
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Graphical construction of hyperbolic functions

Electrical Engineering, 1931
TRANSMISSION line calculations requiring the use of complex hyperbolic functions are materially simplified through the construction and use of a chart from which both the complex hyperbolic sine and cosine values may be determined in either polar or complex-number form. The device is a polar rectangular chart combined with a specially constructed scale
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The Summation of Series of Hyperbolic Functions

SIAM Journal on Mathematical Analysis, 1979
A method of summing sixteen series of hyperbolic functions is presented. The method is based on expressing the series in terms of the nome, q, of the Jacobian elliptic functions. The q-series thus obtained are then expressed in closed form in terms of complete elliptic integrals of the first and second kind and the corresponding modulus.
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Hyperbolic Functions’ Synthesizers

2013
Hyperbolic mathematical functions present a multitude of applications in VLSI designs and analog signal processing structures.
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