On polynomials with simple trigonometric formulas.
Gregorac, R.J. (2004)
International Journal of Mathematics and Mathematical Sciences
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Gregorac, R.J. (2004)
International Journal of Mathematics and Mathematical Sciences
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Nikolov, Geno (1999)
Journal of Inequalities and Applications [electronic only]
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Ken B. Dunn, Rudolf Lidl (1982)
Czechoslovak Mathematical Journal
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Udrea, Gheorghe (1998)
Portugaliae Mathematica
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Helmut Prodinger (2017)
Open Mathematics
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A recursion formula for derivatives of Chebyshev polynomials is replaced by an explicit formula. Similar formulae are derived for scaled Fibonacci numbers.
Seoung Cheon Ryoo (2016)
Open Mathematics
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In this paper, we study differential equations arising from the generating functions of the generalized Bell polynomials.We give explicit identities for the generalized Bell polynomials. Finally, we investigate the zeros of the generalized Bell polynomials by using numerical simulations.
Milovanović, G.V., Rančić, L.Z. (1995)
Publications de l'Institut Mathématique. Nouvelle Série
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Drăghici, Eugen, Pop, Daniel (2008)
General Mathematics
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DoYong Kwon (2007)
Acta Arithmetica
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Inoue, Tetsuo (1996)
International Journal of Mathematics and Mathematical Sciences
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Juan Varona (2006)
Open Mathematics
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We give a short proof to characterize the cases when arccos(√r), the arccosine of the squareroot of a rational number r ∈ [0, 1], is a rational multiple of π: This happens exactly if r is an integer multiple of 1/4. The proof relies on the well-known recurrence relation for the Chebyshev polynomials of the first kind.
Heiberg, C.H. (1983)
Publications de l'Institut Mathématique. Nouvelle Série
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