Moments of products of elliptic integrals
Copyright policy )Moments of products of elliptic integrals
We consider the moments of products of complete elliptic integrals of the first and second kinds. In particular, we derive new results using elementary means, aided by computer experimentation and a theorem of W. Zudilin. Diverse related evaluations, and two conjectures, are also given.
- University of Newcastle Australia Australia
Moments, Generalized hypergeometric series, \({}_pF_q\), Sums of independent random variables; random walks, Mathematics - Number Theory, Applied Mathematics, elliptic integrals, 33C75, 510, Generalised hypergeometric series, Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Elliptic integrals, Mathematics - Classical Analysis and ODEs, generalised hypergeometric series, Elliptic integrals as hypergeometric functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, moments, Number Theory (math.NT)
Moments, Generalized hypergeometric series, \({}_pF_q\), Sums of independent random variables; random walks, Mathematics - Number Theory, Applied Mathematics, elliptic integrals, 33C75, 510, Generalised hypergeometric series, Fourier coefficients, Fourier series of functions with special properties, special Fourier series, Elliptic integrals, Mathematics - Classical Analysis and ODEs, generalised hypergeometric series, Elliptic integrals as hypergeometric functions, Classical Analysis and ODEs (math.CA), FOS: Mathematics, moments, Number Theory (math.NT)
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