A remark about orthogonal polynomials
โ Scribed by V. O. Livinskii
- Book ID
- 112472745
- Publisher
- Springer
- Year
- 1994
- Tongue
- English
- Weight
- 219 KB
- Volume
- 46
- Category
- Article
- ISSN
- 0041-5995
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
An addition formula, Pythagorean identity, and generating function are obtained for orthogonal homogeneous polynomials of several real variables. Application is made to the study of series of such polynomials. Results include an analog of the Funk-Hecke theorem.
We give some properties relating the recurrence relations of orthogonal polynomials associated with any two symmetric distributions d~bl(x) and d~b2(x) such that dq~2(x) = (1 + kx2)dq~l(x). As applications of these properties, recurrence relations for many interesting systems of orthogonal polynomia