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International Conference: 2004 - Dynamical Systems and Applications
July 5-10, 2004

Antalya, Turkey

Organizers
Akca Haydar, Basem S. Attili, Boucherif Abdelkader, Cho Yeol Je, Covachev Valery, Gyori Istvan, Maksimov Vyacheslav, Stavroulakis Ioannis P.

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A variation of the WKB approximation and its application to Jacobi polynomials
by
Uri Elias
Department of Mathematics, Technion, Haifa 32000, Israel
Coauthors: Harry Gingold

We derive a variation of the WKB approximation for solutions of the equation y'' = p(x) y . The perturbation terms are obtained by absolutely and rapidly convergent resolvent series. This approximation is applied to the Jacobi polynomials Pn ( \alpha, \beta) (x) on [1, \infty) for large values of \alpha, \beta and n . It does not use Bessel functions or any other special functions.

Date received: May 9, 2004

Copyright © 2004 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caoe-33.