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
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
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
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
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
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
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