Integral representation of the solutions to Heun's biconfluent equation
Belmehdi, S. ; Chehab, J.-P.
Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 295-306 / Harvested from Project Euclid
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First, we trace the genesis of the canonical form of Heun's biconfluent equation. Second, we present a method which allows us to find an integral expression as a solution to our equation, and finally, using the properties of Meijer $G$ -functions, we give an integral representation of a fundamental system of solutions to the biconfluent equation.
Publié le : 2004-04-27
Classification:  33C20,  33C90,  33E30,  33E99,  34L99,  35C15,  34B30 
@article{1083679179,
     author = {Belmehdi, S. and Chehab, J.-P.},
     title = {Integral representation of the solutions to Heun's biconfluent
equation},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 295-306},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1083679179}
}

Belmehdi, S.; Chehab, J.-P. Integral representation of the solutions to Heun's biconfluent
equation. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp.  295-306. http://gdmltest.u-ga.fr/item/1083679179/