The Euler functional identities for generalized Čebyšev polynomials |
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| Author |
wkawa@kul.lublin.pl
Department of Mathematics,The Catholic University of
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| Abstract |
The author studies generalized Čebyšev polynomials and using the
well-known Euler identities for homogenous functions of order $-1$
introduces
in this way a family of functions conjugated to the generalized Čebyšev
polynomials that appears to be involutions.
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| Keywords |
generalized Čebyšev polynomials, Euler identities, onjugated functions, involutions, special functions
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| DOI |
doi:10.30970/ms.11.1.63-70
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Reference |
1. W. Kawa and J. Zaja̧c (Jr) Algebraic approach to the approximation of the distortion function $\varPhi_K$ // Bull. Soc. Sci. Lett. Łódź Śer. Rech. Déform. V. 20 - 1995
2. W. Kawa and J. Zaja̧c (Jr) Dynamical approximation of special functions in quasiconformal theory // Folia Sci. Univ. Tech. Resoviensis Math. V. 17 – 1995 3. P S. Paszkowski Zastosowania numeryczne wielomianów i szeregów Czebyszewa , Warszawa, PWN – 1975 4. Z J. Zaja̧c Quasihomographies in the theory of Teichmüller spaces // Disserationes Mathematicae – 1996 |
| Pages |
63-70
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| Volume |
11
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| Issue |
1
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| Year |
1999
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| Journal |
Matematychni Studii
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| Full text of paper | |
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