Generalized Fibonacci sequences via orthogonal polynomials
β Scribed by J. Petronilho
- Book ID
- 113440322
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 184 KB
- Volume
- 218
- Category
- Article
- ISSN
- 0096-3003
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π SIMILAR VOLUMES
Given {P n } nβ₯0 a sequence of monic orthogonal polynomials, we analyze their linear combinations with constant coefficients and fixed length, i.e., Necessary and sufficient conditions are given for the orthogonality of the sequence {Q n } nβ₯0 . An interesting interpretation in terms of the Jacobi
In this paper, we study orthogonal polynomials with respect to the inner product Ε½ . Ε½N. Β² : , where G 0 for m s 1, . . . , N, and u is a semiclassical, positive definite linear functional. For these non-standard orthogonal polynomials, algebraic and differential properties are obtained, as well a