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Research Article
Vol. 30, Issue 1
On Jacobi Spectral Polynomials and Evaluation of Definite Integrals
In this paper, we construct a new class of spectral polynomials associated with the product P(α,β;γ,δ) k,m := P(α,β) k × P(γ,δ) m (k, m ≥ 0; α,β,γ,δ > −1), where P(ν,µ) j are the normalised Jacobi polynomials with j ≥ 0;ν,µ > −1. These spectral polynomials are then used to evaluate certain definite integrals involving the combination of logarithmi...
