Chebyshev polynomials and continued fractions related

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DOI:

https://doi.org/10.5604/01.3001.0013.6863

Keywords:

Chebyshev polynomials, continued fractions, Binet formula, Cassini identity

Abstract

Let p, q be complex polynomials, deg p > deg q > 0. We consider the family of polynomials defined by the recurrence Pn+1 = 2pPn–qPn–1 for n = 1, 2, 3, … with arbitrary P1 and P0 as well as the domain of the convergence of the infinite continued fraction

 

 

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Donald E. Knuth, The Art of Computer Programming, Addison Wesley, 2nd edition, 1973.   Google Scholar

John C. Mason, David Handscomb, Chebyshev polynomials, Chapman & Hall, 2003.   Google Scholar

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Published

2019-12-31

How to Cite

Szczepański, J. (2019). Chebyshev polynomials and continued fractions related. Science, Technology and Innovation, 7(4), 1–8. https://doi.org/10.5604/01.3001.0013.6863

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Original articles