Hyperbolic function
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Hyperbolic functions
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...
Inverse hyperbolic functions
mathematics, the inverse hyperbolic functions are inverses of the hyperbolic functions, analogous to the inverse circular functions. There are six in common...
Gudermannian function
In mathematics, the Gudermannian function relates a hyperbolic angle measure ψ {\textstyle \psi } to a circular angle measure ϕ {\textstyle \phi } called...
Bessel function
Bessel equation are called the modified Bessel functions (or occasionally the hyperbolic Bessel functions) of the first and second kind and are defined...
Hyperbolic growth
"finite-time singularity") it is said to undergo hyperbolic growth. More precisely, the reciprocal function 1 / x {\displaystyle 1/x} has a hyperbola as a...
Transcendental function
algebraic function. Examples of transcendental functions include the exponential function, the logarithm function, the hyperbolic functions, and the trigonometric...
Hyperbolic angle
premised on hyperbolic analogies to the corresponding circular (trigonometric) functions by regarding a hyperbolic angle as defining a hyperbolic triangle...
Hyperbolic sector
unit hyperbola. A hyperbolic sector in standard position has a = 1 and b > 1. The argument of hyperbolic functions is the hyperbolic angle, which is defined...
List of integrals of hyperbolic functions
list of integrals (anti-derivative functions) of hyperbolic functions. For a complete list of integral functions, see list of integrals. In all formulas...
Trigonometric integral
{\displaystyle \operatorname {Ci} (x)=\gamma +\ln x-\operatorname {Cin} (x)~.} The hyperbolic sine integral is defined as Shi ( x ) = ∫ 0 x sinh ( t ) t d t . {\displaystyle...