enow.com Web Search

  1. Ad

    related to: wolfram alpha complex integral

Search results

  1. Results from the WOW.Com Content Network
  2. Cauchy's integral formula - Wikipedia

    en.wikipedia.org/wiki/Cauchy's_integral_formula

    In mathematics, Cauchy's integral formula, named after Augustin-Louis Cauchy, is a central statement in complex analysis.It expresses the fact that a holomorphic function defined on a disk is completely determined by its values on the boundary of the disk, and it provides integral formulas for all derivatives of a holomorphic function.

  3. Lists of integrals - Wikipedia

    en.wikipedia.org/wiki/Lists_of_integrals

    Two volumes of the Bateman Manuscript are specific to integral transforms. There are several web sites which have tables of integrals and integrals on demand. Wolfram Alpha can show results, and for some simpler expressions, also the intermediate steps of the integration.

  4. Function of several complex variables - Wikipedia

    en.wikipedia.org/wiki/Function_of_several...

    The theory of functions of several complex variables is the branch of mathematics dealing with functions defined on the complex coordinate space, that is, n-tuples of complex numbers. The name of the field dealing with the properties of these functions is called several complex variables (and analytic space ), which the Mathematics Subject ...

  5. Laurent series - Wikipedia

    en.wikipedia.org/wiki/Laurent_series

    The Laurent series for a complex function () about a point is given by = = (), where and are constants, with defined by a contour integral that generalizes Cauchy's integral formula: = () +. The path of integration γ {\displaystyle \gamma } is counterclockwise around a Jordan curve enclosing c {\displaystyle c} and lying in an annulus A ...

  6. Elliptic integral - Wikipedia

    en.wikipedia.org/wiki/Elliptic_integral

    In integral calculus, an elliptic integral is one of a number of related functions defined as the value of certain integrals, which were first studied by Giulio Fagnano and Leonhard Euler (c. 1750). Their name originates from their originally arising in connection with the problem of finding the arc length of an ellipse .

  7. List of definite integrals - Wikipedia

    en.wikipedia.org/wiki/List_of_definite_integrals

    In mathematics, the definite integral ∫ a b f ( x ) d x {\displaystyle \int _{a}^{b}f(x)\,dx} is the area of the region in the xy -plane bounded by the graph of f , the x -axis, and the lines x = a and x = b , such that area above the x -axis adds to the total, and that below the x -axis subtracts from the total.

  8. Polylogarithm - Wikipedia

    en.wikipedia.org/wiki/Polylogarithm

    When the Abel–Plana formula is applied to the defining series of the polylogarithm, a Hermite-type integral representation results that is valid for all complex z and for all complex s: ⁡ = + (, ⁡) (⁡) + ⁡ (⁡ ⁡) (+) / where Γ is the upper incomplete gamma-function.

  9. Exponential integral - Wikipedia

    en.wikipedia.org/wiki/Exponential_integral

    Plot of the exponential integral function E n(z) with n=2 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D In mathematics, the exponential integral Ei is a special function on the complex plane .

  1. Ad

    related to: wolfram alpha complex integral