A uniform asymptotic expansion for the jacobi polynomials with explicit remainder
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Author(s)
Related Research Unit(s)
Detail(s)
| Original language | English |
|---|---|
| Pages (from-to) | 17-29 |
| Journal / Publication | Applicable Analysis |
| Volume | 61 |
| Issue number | 1-2 |
| Publication status | Published - 1996 |
Link(s)
Abstract
A new asymptotic expansion is derived for the Jacobi polynonmial Pn(α,β)(cos θ) asn → ∞ which holds uniformly for Θ ∈ [0, π/2]. An explicit expression is also given for the error term associated with the expansion. Our approach begins with a contour integral representation, followed by a suitable canonical transformation
Research Area(s)
- Asymptotic series, Beahel funclions, Charlier polynominls, Legendre series
Citation Format(s)
A uniform asymptotic expansion for the jacobi polynomials with explicit remainder. / Wong, R.; Zhang, J. -M.
In: Applicable Analysis, Vol. 61, No. 1-2, 1996, p. 17-29.Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
