Skip to main content
padlock icon - secure page this page is secure

Orthogonality via Transforms

Buy Article:

$52.00 + tax (Refund Policy)

Let e(x, t) = ∑pn (x)tn be the generating function of a polynomial sequence, and the transform of multiplication by x relative to e(x, t). We show that the sequence pn (x) is orthogonal precisely when is a t‐variable, i.e., maps K[t] into itself and increases degree by 1. We also show how transform techniques can shed light on the recursion relations and differential equations for pn (x).
No References
No Citations
No Supplementary Data
No Article Media
No Metrics

Document Type: Research Article

Affiliations: Florida Atlantic University

Publication date: October 1, 1987

  • Access Key
  • Free content
  • Partial Free content
  • New content
  • Open access content
  • Partial Open access content
  • Subscribed content
  • Partial Subscribed content
  • Free trial content
Cookie Policy
X
Cookie Policy
Ingenta Connect website makes use of cookies so as to keep track of data that you have filled in. I am Happy with this Find out more