Last data update: 2014.03.03

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Results 1 - 10 of 88 found.
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chebyshev.s.inner.products (Package: orthopolynom) : Inner products of Chebyshev polynomials

This function returns a vector with n + 1 elements containing the inner product of an order k Chebyshev polynomial of the second kind, S_k ≤ft( x ight), with itself (i.e. the norm squared) for orders k = 0,;1,; … ,;n .
● Data Source: CranContrib
● Keywords: math
● Alias: chebyshev.s.inner.products
● 0 images

chebyshev.c.weight (Package: orthopolynom) : Weight function for the Chebyshev polynomial

This function returns the value of the weight function for the order k Chebyshev polynomial of the first kind, C_k ≤ft( x ight) .
● Data Source: CranContrib
● Keywords: math
● Alias: chebyshev.c.weight
● 0 images

chebyshev.c.recurrences (Package: orthopolynom) : Recurrence relations for Chebyshev polynomials

This function returns a data frame with n + 1 rows and four named columns containing the coefficient vectors c, d, e and f of the recurrence relations for the order k Chebyshev polynomial of the first kind, C_k ≤ft( x ight), and for orders k = 0,;1,; … ,;n.
● Data Source: CranContrib
● Keywords: math
● Alias: chebyshev.c.recurrences
● 0 images

chebyshev.c.polynomials (Package: orthopolynom) : Create list of Chebyshev polynomials

This function returns a list with n + 1 elements containing the order k Chebyshev polynomials of the first kind, C_k ≤ft( x ight), for orders k = 0,;1,; … ,;n.
● Data Source: CranContrib
● Keywords: math
● Alias: chebyshev.c.polynomials
● 0 images

chebyshev.c.inner.products (Package: orthopolynom) : Inner products of Chebyshev polynomials

This function returns a vector with n + 1 elements containing the inner product of an order k Chebyshev polynomial of the first kind, C_k ≤ft( x ight), with itself (i.e. the norm squared) for orders k = 0,;1,; … ,;n .
● Data Source: CranContrib
● Keywords: math
● Alias: chebyshev.c.inner.products
● 0 images

ultraspherical.weight (Package: orthopolynom) : Weight function for the ultraspherical polynomial

This function returns the value of the weight function for the order k ultraspherical polynomial, C_k^{≤ft( α ight)} ≤ft( x ight).
● Data Source: CranContrib
● Keywords: math
● Alias: ultraspherical.weight
● 0 images

ultraspherical.recurrences (Package: orthopolynom) : Recurrence relations for ultraspherical polynomials

This function returns a data frame with n + 1 rows and four named columns containing the coefficient vectors c, d, e and f of the recurrence relations for the order k ultraspherical polynomial, C_k^{≤ft( α ight)} ≤ft( x ight), and for orders k = 0,;1,; … ,;n.
● Data Source: CranContrib
● Keywords: math
● Alias: ultraspherical.recurrences
● 0 images

ultraspherical.polynomials (Package: orthopolynom) : Create list of ultraspherical polynomials

This function returns a list with n + 1 elements containing the order k ultraspherical polynomials, C_k^{≤ft( α ight)} ≤ft( x ight), for orders k = 0,;1,; … ,;n.
● Data Source: CranContrib
● Keywords: math
● Alias: ultraspherical.polynomials
● 0 images

ultraspherical.inner.products (Package: orthopolynom) : Inner products of ultraspherical polynomials

This function returns a vector with n + 1 elements containing the inner product of an order k ultraspherical polynomial, C_k^{≤ft( α ight)} ≤ft( x ight), with itself (i.e. the norm squared) for orders k = 0,;1,; … ,;n .
● Data Source: CranContrib
● Keywords: math
● Alias: ultraspherical.inner.products
● 0 images

spherical.weight (Package: orthopolynom) : Weight function for the spherical polynomial

This function returns the value of the weight function for the order k spherical polynomial, P_k ≤ft( x ight).
● Data Source: CranContrib
● Keywords: math
● Alias: spherical.weight
● 0 images