Gegenbauer polynomials

orthogal polynomial sequence on the interval [−1,1] with respect to the weight function (1−𝑥²)^{𝛼−½}

Wikidata entity: Q1498246

Wikimedia Commons category is Gegenbauer polynomials

P373	Commons category	String	Gegenbauer polynomials	???
P2534	defining formula	Math	$\frac{1}{(1 - 2 x t + t^{2})^{α}} = \sum_{n = 0}^{\infty} C_{n}^{(α)} (x) t^{n}$	???
P7235	in defining formula	Math	$n$	???
P7235	in defining formula	Math	$C_{n}^{(α)} (-)$	???
P6104	maintained by WikiProject	...	Q8487137 (WikiProject Mathematics)	WikiProject Mathematics
P138	named after	...	Q87737 (Leopold Gegenbauer)	Leopold Gegenbauer
P279	subclass of	...	Q371631 (Jacobi polynomials)	Jacobi polynomials
P10	video	CommonsMedia	http://commons.wikimedia.org/wiki/Special:FilePath/Gegenbauer%20polynomials.gif	???

External Ids

P508	BNCF Thesaurus ID	25350
P646	Freebase ID	/m/06npp_
P2812	MathWorld ID	GegenbauerPolynomial
P6366	Microsoft Academic ID (discontinued)	78540521
P10283	OpenAlex ID	C78540521
P3417	Quora topic ID	Gegenbauer-Polynomials
P9621	Treccani's Enciclopedia della Matematica ID	polinomi-di-gegenbauer_res-544bba80-abc7-11e7-adb0-00271042e8d9

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