In mathematics, Jacobi transform is an integral transform named after the mathematician Carl Gustav Jacob Jacobi, which uses Jacobi polynomials as kernels of the transform
.[1][2][3][4]
The Jacobi transform of a function is[5]
The inverse Jacobi transform is given by
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Debnath, L. "On Jacobi Transform." Bull. Cal. Math. Soc 55.3 (1963): 113-120.
Debnath, L. "SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS BY JACOBI TRANSFORM." BULLETIN OF THE CALCUTTA MATHEMATICAL SOCIETY 59.3-4 (1967): 155.
Scott, E. J. "Jacobi transforms." (1953).
Debnath, Lokenath, and Dambaru Bhatta. Integral transforms and their applications. CRC press, 2014.