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An Integral of Ramanujan and Orthogonal Polynomials
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Introduction, beta integrals and Jacobi polynomials. A classical beta integral has the form
∫[l1(t)]a[l2(t)]bdt (1.1)
where l1(t) and l2(t) are linear functions, a and b are complex numbers, and C is an appropriate contour. Two important cases are Euler’s integral.
∫[l1(t)]a[l2(t)]bdt (1.1)
where l1(t) and l2(t) are linear functions, a and b are complex numbers, and C is an appropriate contour. Two important cases are Euler’s integral.
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