𝔖 Bobbio Scriptorium
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Explicit representations of biorthogonal polynomials

✍ Scribed by Arieh Iserles; Syvert P. Nørsett

Book ID
105493788
Publisher
Springer US
Year
1995
Tongue
English
Weight
597 KB
Volume
10
Category
Article
ISSN
1017-1398

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✍ Matthew X. He 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 342 KB

Let F n (z) be Faber polynomials associated with an m-cusped hypocycloid. We derive an explicit algebraic expression for F n (z) via a Cauchy integral formula. Using a differential equation of F n (z), we precisely represent F n (z) in terms of generalized hypergeometric functions.