Global Information Lookup Global Information

Jacobi transform information


In mathematics, Jacobi transform is an integral transform named after the mathematician Carl Gustav Jacob Jacobi, which uses Jacobi polynomials as kernels of the transform .[1][2][3][4]

The Jacobi transform of a function is[5]

The inverse Jacobi transform is given by

  1. ^ Debnath, L. "On Jacobi Transform." Bull. Cal. Math. Soc 55.3 (1963): 113-120.
  2. ^ Debnath, L. "SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS BY JACOBI TRANSFORM." BULLETIN OF THE CALCUTTA MATHEMATICAL SOCIETY 59.3-4 (1967): 155.
  3. ^ Scott, E. J. "Jacobi transforms." (1953).
  4. ^ Shen, Jie; Wang, Yingwei; Xia, Jianlin (2019). "Fast structured Jacobi-Jacobi transforms". Math. Comp. 88 (318): 1743–1772. doi:10.1090/mcom/3377.
  5. ^ Debnath, Lokenath, and Dambaru Bhatta. Integral transforms and their applications. CRC press, 2014.

and 25 Related for: Jacobi transform information

Request time (Page generated in 0.8403 seconds.)

Jacobi transform

Last Update:

In mathematics, Jacobi transform is an integral transform named after the mathematician Carl Gustav Jacob Jacobi, which uses Jacobi polynomials P n α...

Word Count : 287

Carl Gustav Jacob Jacobi

Last Update:

Carl Gustav Jacob Jacobi (/dʒəˈkoʊbi/; German: [jaˈkoːbi]; 10 December 1804 – 18 February 1851) was a German mathematician who made fundamental contributions...

Word Count : 2057

List of transforms

Last Update:

Hankel transform Hartley transform Hermite transform Hilbert transform Hilbert–Schmidt integral operator Jacobi transform Laguerre transform Laplace...

Word Count : 267

Integral transform

Last Update:

In mathematics, an integral transform is a type of transform that maps a function from its original function space into another function space via integration...

Word Count : 1278

Laplace transform

Last Update:

In mathematics, the Laplace transform, named after Pierre-Simon Laplace (/ləˈplɑːs/), is an integral transform that converts a function of a real variable...

Word Count : 9287

List of things named after Carl Gustav Jacob Jacobi

Last Update:

Jacobi symbol Jacobi theta function Jacobi zeta function Jacobi's theorem (skew-symmetric matrix) Jacobi transform Jacobi triple product Jacobi-type J-fractions...

Word Count : 187

Jacobi elliptic functions

Last Update:

In mathematics, the Jacobi elliptic functions are a set of basic elliptic functions. They are found in the description of the motion of a pendulum (see...

Word Count : 12521

Discrete Fourier transform

Last Update:

In mathematics, the discrete Fourier transform (DFT) converts a finite sequence of equally-spaced samples of a function into a same-length sequence of...

Word Count : 10510

Theta function

Last Update:

)^{4}} which is the Fermat curve of degree four. Jacobi's identities describe how theta functions transform under the modular group, which is generated by...

Word Count : 14004

Hankel matrix

Last Update:

B_{n}} is the Hankel transform of the sequence b k . {\displaystyle b_{k}.} The Hankel transform is invariant under the binomial transform of a sequence. That...

Word Count : 1249

Jacobian matrix and determinant

Last Update:

function f. These concepts are named after the mathematician Carl Gustav Jacob Jacobi (1804–1851). The Jacobian of a vector-valued function in several variables...

Word Count : 3549

Matrix similarity

Last Update:

T=P^{-1}SP} . The transform in the original basis is found to be the product of three easy-to-derive matrices. In effect, the similarity transform operates in...

Word Count : 1081

Householder transformation

Last Update:

sparse matrices, and/or parallel machines. Block reflector Givens rotation Jacobi rotation Householder, A. S. (1958). "Unitary Triangularization of a Nonsymmetric...

Word Count : 2267

Nanny McPhee

Last Update:

the film) as Nanny McPhee, along with Colin Firth, Kelly Macdonald, Derek Jacobi, Celia Imrie, Patrick Barlow, Imelda Staunton, Thomas Sangster and Angela...

Word Count : 1778

Jacobi method for complex Hermitian matrices

Last Update:

In mathematics, the Jacobi method for complex Hermitian matrices is a generalization of the Jacobi iteration method. The Jacobi iteration method is also...

Word Count : 1176

Lorentz transformation

Last Update:

vector space, satisfying the axioms of bilinearity, alternatization, and the Jacobi identity. Here the operation [ , ] is the commutator which satisfies all...

Word Count : 14094

List of partial differential equation topics

Last Update:

Burgers' equation Euler equations Fokker–Planck equation Hamilton–Jacobi equation, Hamilton–Jacobi–Bellman equation Heat equation Laplace's equation Laplace operator...

Word Count : 157

Preconditioner

Last Update:

size) to the cost of multiplication of A {\displaystyle A} by a vector. The Jacobi preconditioner is one of the simplest forms of preconditioning, in which...

Word Count : 3511

Integrable system

Last Update:

Hamilton–Jacobi method, in which solutions to Hamilton's equations are sought by first finding a complete solution of the associated Hamilton–Jacobi equation...

Word Count : 3405

Alexander Newley

Last Update:

series of portraits of Kenneth Branagh, Judi Dench, Adrian Lester, Derek Jacobi and Lily James. Newley worked on the portraits for a year, and was granted...

Word Count : 534

Last Tango in Halifax

Last Update:

final episode which was broadcast on 15 March 2020. The series stars Derek Jacobi and Anne Reid as Alan and Celia. The series has been praised for its depiction...

Word Count : 4483

List of things named after Niels Henrik Abel

Last Update:

Abel's identity Abel's inequality Abel's irreducibility theorem Abel–Jacobi map Abel–Jacobi theorem Abel polynomials Abel's summation formula Abelian means...

Word Count : 172

Classical orthogonal polynomials

Last Update:

orthogonal polynomials: the Hermite polynomials, Laguerre polynomials, Jacobi polynomials (including as a special case the Gegenbauer polynomials, Chebyshev...

Word Count : 6102

Singular value decomposition

Last Update:

norms of the columns of the transformed matrix M {\displaystyle M} . Two-sided Jacobi SVD algorithm—a generalization of the Jacobi eigenvalue algorithm—is...

Word Count : 13747

List of complex analysis topics

Last Update:

Taylor Siméon Denis Poisson Hermann Schwarz Camille Jordan Carl Gustav Jacob Jacobi Eugène Rouché Gerardus Mercator Joseph Liouville Pierre-Simon Laplace August...

Word Count : 391

PDF Search Engine © AllGlobal.net