In this paper, we use the algebraic manipulations and the properties of Chebyshev polynomials to obtain two interesting identities involving the power sums of the integral of the first kind Chebyshev ...
The first identity (Section 2) expresses a moment of a product of multivariate t densities as an integral of dimension one less than the number of factors. This identity is applied to inference ...
Hypergeometric functions occupy a central role in mathematical analysis by encapsulating a diverse class of series that extend many classical functions. Equally, identities involving harmonic numbers ...
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