Chebyshev polynomials and continued fractions related

Authors

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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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

Issue

Vol. 7 No. 4 (2019)

Section

Original articles

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Copyright (c) 2019 University of Applied Sciences in Tarnow, Poland & Author

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.