In mathematics, Laguerre transform is an integral transform named after the mathematician Edmond Laguerre, which uses generalized Laguerre polynomials as kernels of the transform.[1][2][3][4]

The Laguerre transform of a function is

The inverse Laguerre transform is given by

Some Laguerre transform pairs

[5]
[6]

References

  1. Debnath, Lokenath, and Dambaru Bhatta. Integral transforms and their applications. CRC press, 2014.
  2. Debnath, L. "On Laguerre transform." Bull. Calcutta Math. Soc 52 (1960): 69-77.
  3. Debnath, L. "Application of Laguerre Transform on heat conduction problem." Annali dell’Università di Ferrara 10.1 (1961): 17-19.
  4. McCully, Joseph. "The Laguerre transform." SIAM Review 2.3 (1960): 185-191.
  5. 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.
  6. Debnath, L. "On Faltung theorem of Laguerre transform." Studia Univ. Babes-Bolyai, Ser. Phys 2 (1969): 41-45.
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.