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Formulas and Theorems for the Special Functions of Mathematical Physics

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The article was published on 1966-01-01 and is currently open access. It has received 3150 citations till now. The article focuses on the topics: Special functions.

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Geometry of 2D topological field theories

TL;DR: In this paper, the theory of equations of associativity describing geometry of moduli spaces of 2D topological field theories is studied, where WDVV equations and Frobenius manifolds are discussed.
Journal ArticleDOI

Fluorescence correlation spectroscopy. I. Conceptual basis and theory

TL;DR: In this article, a method for determining chemical kinetic constants and diffusion coefficients by measuring the rates of decay of spontaneous concentration fluctuations was proposed, which is based on the principle that the rate of spontaneous microscopic fluctuations are determined by the same phenomenological rate coefficients as those of macroscopic departures from equilibrium which result from external perturbations.
Journal ArticleDOI

Real- and imaginary-time field theory at finite temperature and density

TL;DR: In this paper, a detailed account of relativistic quantum field theory in the grand canonical ensemble is given, where three approaches are discussed: traditional Euclidean Matsubara, and two recently developed real-time methods, namely, Minkowskian time-path and thermo field dynamics.
Journal ArticleDOI

The Fourier-series method for inverting transforms of probability distributions

TL;DR: This paper reviews the Fourier-series method for calculating cumulative distribution functions (cdf's) and probability mass functions (pmf's) by numerically inverting characteristic functions, Laplace transforms and generating functions and describes two methods for inverting Laplace transform based on the Post-Widder inversion formula.