contour integral
21Polylogarithm — Not to be confused with polylogarithmic. In mathematics, the polylogarithm (also known as Jonquière s function) is a special function Lis(z) that is defined by the infinite sum, or power series: It is in general not an elementary function, unlike …
22Propagator — This article is about Quantum field theory. For plant propagation, see Plant propagation. Quantum field theory …
23Hardy–Littlewood circle method — In mathematics, the Hardy–Littlewood circle method is one of the most frequently used techniques of analytic number theory. It is named for G. H. Hardy and J. E. Littlewood, who developed it in a series of papers on Waring s problem. Contents 1… …
24Lippmann-Schwinger equation — The Lippmann Schwinger equation (named after Bernard A. Lippmann and Julian Schwinger) is of importance to scattering theory. The equation is: | psi^{(pm)} angle = | phi angle + frac{1}{E H 0 pm i epsilon} V |psi^{(pm)} angle. ,DerivationWe will… …
25Residue (complex analysis) — In mathematics, more specifically complex analysis, the residue is a complex number proportional to the contour integral of a meromorphic function along a path enclosing one of its singularities. (More generally, residues can be calculated for… …
26Residue theorem — The residue theorem in complex analysis is a powerful tool to evaluate line integrals of analytic functions over closed curves and can often be used to compute real integrals as well. It generalizes the Cauchy integral theorem and Cauchy s… …
27Hermite polynomials — In mathematics, the Hermite polynomials are a classical orthogonal polynomial sequence that arise in probability, such as the Edgeworth series; in combinatorics, as an example of an Appell sequence, obeying the umbral calculus; in numerical… …
28Stefan–Boltzmann law — The Stefan–Boltzmann law, also known as Stefan s law, states that the total energy radiated per unit surface area of a black body in unit time (known variously as the black body irradiance, energy flux density, radiant flux, or the emissive… …
29Argument principle — In complex analysis, the Argument principle (or Cauchy s argument principle) states that if f ( z ) is a meromorphic function inside and on some closed contour C , with f having no zeros or poles on C , then the following formula holds: oint {C}… …
30Method of steepest descent — For the optimization algorithm, see Gradient descent. In mathematics, the method of steepest descent or stationary phase method or saddle point method is an extension of Laplace s method for approximating an integral, where one deforms a contour… …
