Following this recommendation, the ISO 80000-2 standard abbreviations use the prefix ar- (that is: arsinh, arcosh, artanh, arsech, arcsch, arcoth). In computer programming languages, inverse circular and hyperbolic functions are often named with the shorter prefix a- (asinh, etc.).

3 天之前 · The inverse hyperbolic tangent (Zwillinger 1995, p. 481; Beyer 1987, p. 181), sometimes called the area hyperbolic tangent (Harris and Stocker 1998, p. 267), is the multivalued function that is the inverse function of the hyperbolic tangent. The function is sometimes denoted (Jeffrey 2000, p. 124) or (Gradshteyn and Ryzhik 2000, p. xxx).

ArcTanh is the inverse hyperbolic tangent function. For a real number x, ArcTanh [x] represents the hyperbolic angle measure such that . ArcTanh automatically threads over lists. For certain …

2024年11月4日 · Inverse hyperbolic tangent (tanh-1 or arctanh) These functions, similar to the trigonometric (or circular) functions, are widely applied in mathematics for solving integrals and differential equations. Inverse Hyperbolic Sine (sinh-1) The formula of the inverse hyperbolic sine is given by: sinh-1 x = ${\ln \left( x+\sqrt{1+x^{2}}\right)}$ Proof

ArcTanh[z] (3911 formulas) Primary definition (1 formula) Specific values (30 formulas) General characteristics (12 formulas) Analytic continuations (0 formulas) Series representations (68 formulas) Integral representations (5 formulas) Continued fraction representations (6 formulas) Differential equations (4 formulas)

Use this inverse hyperbolic tangent or arctanh tool to find the hyperbolic angle when you know the hyperbolic tangent.

The calculator will find the inverse hyperbolic tangent of the given value. The inverse hyperbolic tangent y=tanh^{-1}(x) or y=atanh(x) or y=arctanh(x) is such