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Polynomials and Trigonometric Polynomials
1976Setting cos ϑ = x, the expressions $$ T_n \left( x \right) = \cos n\vartheta {\text{ }}U_n \left( x \right) = \frac{1} {{n + 1}}T'_{n + 1} \left( x \right) = \frac{{\sin \left( {n + 1} \right)\vartheta }} {{\sin \vartheta }}'{\text{ }}n = 0,1,2,...
George Pólya, Gabor Szegö
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Polynomials and Complex Polynomials
1997If F is a field and n is a nonnegative integer, then a polynomial of degree n over F is a formal sum of the form $$P(x) = {a_0} + {a_1}x + \cdots + {a_n}{x^n}$$ With a i ∈ F for i = 0, .., n, a n ≠ 0 and x an indeterminate. A polynomial P(χ) over F is either a polynomial of some degree or the expression P(χ) = 0, which is called the zero ...
Benjamin Fine, Gerhard Rosenberger
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On Polynomials in a Polynomial
Bulletin of the London Mathematical Society, 1972Evyatar, A., Scott, D. B.
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The relation of the d-orthogonal polynomials to the Appell polynomials
Journal of Computational and Applied Mathematics, 1996Khalfa Douak
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A Note on Degenerate Euler and Bernoulli Polynomials of Complex Variable
Symmetry, 2019Dae Kim, Taekyun Kim, Hyunseok Lee
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