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Τι (ποιος) είναι ultraspherical function - ορισμός
ORTHOGAL POLYNOMIAL SEQUENCE ON THE INTERVAL [−1,1] WITH RESPECT TO THE WEIGHT FUNCTION (1−𝑥²)^{𝛼−½}
Gegenbauer polynomial; Ultraspherical polynomials; Gegenbauer function; Ultraspherical polynomial; Gegenbauer Polynomials; Ultraspherical differential equation; Ultraspherical function
(x) with n=10 and m=1 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg?width=200 "Plot of the Gegenbauer polynomial C n^(m)(x) with n=10 and m=1 in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D")
Gegenbauer polynomials
In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(x) are orthogonal polynomials on the interval [−1,1] with respect to the weight function (1 − x2)α–1/2. They generalize Legendre polynomials and Chebyshev polynomials, and are special cases of Jacobi polynomials.
Function (mathematics)
![The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]](https://commons.wikimedia.org/wiki/Special:FilePath/Motor vehicle deaths in the US.svg?width=200 "The function mapping each year to its US motor vehicle death count, shown as a [[line chart]]")
![Graph of two trigonometric functions: [[sine]] and [[cosine]].](https://commons.wikimedia.org/wiki/Special:FilePath/Sine cosine one period.svg?width=200 "Graph of two trigonometric functions: [[sine]] and [[cosine]].")
ASSOCIATION OF A SINGLE OUTPUT TO EACH INPUT
Mathematical Function; Mathematical function; Function specification (mathematics); Mathematical functions; Empty function; Function (math); Ambiguous function; Function (set theory); Function (Mathematics); Functions (mathematics); Domain and range; Functional relationship; G(x); H(x); Function notation; Output (mathematics); Ƒ(x); Overriding (mathematics); Overriding union; F of x; Function of x; Bivariate function; Functional notation; Function of several variables; Y=f(x); ; Draft:The Repeating Fractional Function; Image (set theory); Mutivariate function; Draft:Specifying a function; Function (maths); Functions (math); Functions (maths); F(x); Empty map; Function evaluation
In mathematics, a function from a set to a set assigns to each element of exactly one element of .; the words map, mapping, transformation, correspondence, and operator are often used synonymously.
Transfer function
FUNCTION SPECIFYING THE BEHAVIOR OF A COMPONENT IN AN ELECTRONIC OR CONTROL SYSTEM
Transfer-function; Transfer Function; Natural response; Pulse-transfer function; Network function; Transfer curve; Transfer characteristic; System function
In engineering, a transfer function (also known as system functionBernd Girod, Rudolf Rabenstein, Alexander Stenger, Signals and systems, 2nd ed., Wiley, 2001, p.
Βικιπαίδεια
Gegenbauer polynomials
In mathematics, Gegenbauer polynomials or ultraspherical polynomials C(α)
n(x) are orthogonal polynomials on the interval [−1,1] with respect to the weight function (1 − x2)α–1/2. They generalize Legendre polynomials and Chebyshev polynomials, and are special cases of Jacobi polynomials. They are named after Leopold Gegenbauer.
