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Integrals of Chebyshev polynomials of third and fourth kinds: An application to solution of boundary value problems with polynomial coefficients
Two new formulae expressing explicitly the repeated integrals of Chebyshev polynomials of third and fourth kinds of arbitrary degree in terms of the...
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Integrals involving Gegenbauer and Hermite polynomials on the imaginary axis
The integral ∫
-∞ ∞ [ C2 n λ ( it )] −2 (1+ t 2 ) − λ -1/2 dt is evaluated for λ > −1/2 where C2 n λ is the Gegenbauer polynomial of degree 2 n . Letting λ → ∞...