In mathematics, Laguerre transform is an integral transform named after the mathematician Edmond Laguerre, which uses generalized Laguerre polynomials as kernels of the transform.Debnath, Lokenath, and Dambaru Bhatta. Integral transforms and their applications. CRC press, 2014.Debnath, L. "On Laguerre transform." Bull. Calcutta Math. Soc 52 (1960): 69-77.Debnath, L. "Application of Laguerre Transform on heat conduction problem." Annali dell’Università di Ferrara 10.1 (1961): 17-19.McCully, Joseph. "The Laguerre transform." SIAM Review 2.3 (1960): 185-191.
The Laguerre transform of a function is
The inverse Laguerre transform is given by
Some Laguerre transform pairs
Howell, W. T. "CI. A definite integral for legendre functions." The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 25.172 (1938): 1113-1115.Debnath, L. "On Faltung theorem of Laguerre transform." Studia Univ. Babes-Bolyai, Ser. Phys 2 (1969): 41-45.
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