Orthogonal representation of Weber's function using Hermite polynomials

Authors
Daniel, DJ
Citation
Dj. Daniel, Orthogonal representation of Weber's function using Hermite polynomials, J APPROX TH, 113(1), 2001, pp. 156-163
Citations number
5
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF APPROXIMATION THEORY
ISSN journal
00219045 → ACNP
Volume
113
Issue
1
Year of publication
2001
Pages
156 - 163
Database
ISI
SICI code
0021-9045(200111)113:1<156:OROWFU>2.0.ZU;2-V
Abstract
The inner product of Weber's parabolic cylinder function and a Hermite poly nomial is defined and evaluated as a new class of definite integrals. from which an orthogonal series expansion for Weber's parabolic cylinder functio n in terms of Hermite polynomials can then be derived. (C) 2001 Academic Pr ess.