FRACTIONAL-POWERS OF A DIFFERENCE OPERATOR

Authors
ISMAIL MEH
Citation
Meh. Ismail, FRACTIONAL-POWERS OF A DIFFERENCE OPERATOR, Computers & mathematics with applications, 33(1-2), 1997, pp. 145-150
Citations number
14
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
33
Issue
1-2
Year of publication
1997
Pages
145 - 150
Database
ISI
SICI code
0898-1221(1997)33:1-2<145:FOADO>2.0.ZU;2-U
Abstract
We use Fourier series to establish an integral representation of a rig ht inverse of a difference operator which is the q-analogue of d/d the ta. The kernel of this integral operator is theta(4)/theta(4) and is t he Rienmann mapping function that maps conformally the interior of an ellipse onto the open unit disc. We also define fractional powers of t he right inverse operator and establish their index law.