An Integral of Ramanujan and Orthogonal Polynomials
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∫[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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Department of Mathematics, University of Wisconsin, Madison WI 53706 ,US
Richard Askey
Abstract
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.
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Published
1987-06-01
How to Cite
Askey, R. (1987). An Integral of Ramanujan and Orthogonal Polynomials. The Journal of the Indian Mathematical Society, 51(1-2), 27–36. Retrieved from https://www.informaticsjournals.com/index.php/jims/article/view/22015
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Copyright (c) 1987 Richard Askey
This work is licensed under a Creative Commons Attribution 4.0 International License.
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