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A certain class of incomplete elliptic integrals and associated definite integrals
In many seemingly diverse physical contexts (including, for example, certain radiation field problems, studies of crystallographic minimal surfaces, the theory of scattering of acoustic or electromagnetic waves by means of an elliptic disk, studies of ...
Polynomials orthogonal with respect to exponential integrals
Moment-based methods and related Matlab software are provided for generating orthogonal polynomials and associated Gaussian quadrature rules having as weight function the exponential integral E of arbitrary positive order supported on the positive real ...
Formally Verified Approximations of Definite Integrals
Finding an elementary form for an antiderivative is often a difficult task, so numerical integration has become a common tool when it comes to making sense of a definite integral. Some of the numerical integration methods can even be made rigorous: not ...
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