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Classification of all δ-Coherent Pairs

✍ Scribed by Area, I.; Godoy, E.; Marcellán, F.

Book ID
127298080
Publisher
Taylor and Francis Group
Year
2000
Tongue
English
Weight
495 KB
Volume
9
Category
Article
ISSN
1065-2469

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Determination of All Coherent Pairs
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✍ H.G. Meijer 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 362 KB

A pair of quasi-definite linear functionals [u 0 , u 1 ] on the set of polynomials is called a coherent pair if their corresponding sequences of monic orthogonal polynomials [P n ] and [T n ] satisfy a relation with \_ n non-zero constants. We prove that if [u 0 , u 1 ] is a coherent pair, then at