Whittaker transform
From Encyclopedia of Mathematics
The integral transform
 |
where 
is the Whittaker function (cf. Whittaker functions). For 
and 
the Whittaker transform goes over into the Laplace transform.
References
| [1] | C.S. Meijer, "Eine neue Erweiterung der Laplace-Transformation" Proc. Koninkl. Ned. Akad. Wet. , 44 (1941) pp. 727–737 |
Comments
References
| [a1] | G. Doetsch, "Handbuch der Laplace-Transformation" , III , Birkhäuser (1973) |
| [a2] | E.T. Whittaker, G.N. Watson, "A course of modern analysis" , Cambridge Univ. Press (1927) |
How to Cite This Entry:
Whittaker transform. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Whittaker_transform&oldid=32643
Whittaker transform. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Whittaker_transform&oldid=32643
This article was adapted from an original article by Yu.A. BrychkovA.P. Prudnikov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article