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CORR
2008
Springer

Power Series Composition and Change of Basis

8 years 3 months ago
Power Series Composition and Change of Basis
Efficient algorithms are known for many operations on truncated power series (multiplication, powering, exponential, . . . ). Composition is a more complex task. We isolate a large class of power series for which composition can be performed efficiently. We deduce fast algorithms for converting polynomials between various bases, including Euler, Bernoulli, Fibonacci, and the orthogonal Laguerre, Hermite, Jacobi, Krawtchouk, Meixner and Meixner-Pollaczek. Categories and Subject Descriptors:
Alin Bostan, Bruno Salvy, Éric Schost
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CORR
Authors Alin Bostan, Bruno Salvy, Éric Schost
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