“Jacobi transform”的意思、由来-开放百科全书

词条

Jacobi transform

释义

Some Jacobi transform pairs
References

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]

The Jacobi transform of a function is^[4]

The inverse Jacobi transform is given by

Some Jacobi transform pairs

References

1. ^Debnath, L. "On Jacobi Transform." Bull. Cal. Math. Soc 55.3 (1963): 113-120.
2. ^Debnath, L. "SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS BY JACOBI TRANSFORM." BULLETIN OF THE CALCUTTA MATHEMATICAL SOCIETY 59.3-4 (1967): 155.
3. ^Scott, E. J. "Jacobi transforms." (1953).
4. ^Debnath, Lokenath, and Dambaru Bhatta. Integral transforms and their applications. CRC press, 2014.

2 : Integral transforms|Mathematical physics

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