Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Meijer_G-function> ?p ?o }
- Meijer_G-function abstract "In mathematics, the G-function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized hypergeometric function and the MacRobert E-function had the same aim, but Meijer's G-function was able to include those as particular cases as well. The first definition was made by Meijer using a series; nowadays the accepted and more general definition is via a line integral in the complex plane, introduced in its full generality by Arthur Erdélyi in 1953.With the modern definition, the majority of the established special functions can be represented in terms of the Meijer G-function. A notable property is the closure of the set of all G-functions not only under differentiation but also under indefinite integration. In combination with a functional equation that allows to liberate from a G-function G(z) any factor zρ that is a constant power of its argument z, the closure implies that whenever a function is expressible as a G-function of a constant multiple of some constant power of the function argument, f(x) = G(cxγ), the derivative and the antiderivative of this function are expressible so too.The wide coverage of special functions also lends power to uses of Meijer's G-function other than the representation and manipulation of derivatives and antiderivatives. Thus, the definite integral over the positive real axis of any function g(x) that can be written as a product G1(cxγ)·G2(dxδ) of two G-functions with rational γ/δ equals just another G-function, and generalizations of integral transforms like the Hankel transform and the Laplace transform and their inverses result when suitable G-function pairs are employed as transform kernels.A still more general function, which introduces additional parameters into Meijer's G-function, is Fox's H-function.".
- Meijer_G-function wikiPageExternalLink Vol1.pdf.
- Meijer_G-function wikiPageExternalLink rnoti-p866.pdf.
- Meijer_G-function wikiPageExternalLink S0002-9939-1962-0144157-5.pdf.
- Meijer_G-function wikiPageExternalLink S0002-9939-1963-0145263-2.pdf.
- Meijer_G-function wikiPageExternalLink S0002-9939-1963-0149210-9.pdf.
- Meijer_G-function wikiPageID "6453527".
- Meijer_G-function wikiPageLength "48643".
- Meijer_G-function wikiPageOutDegree "67".
- Meijer_G-function wikiPageRevisionID "707287736".
- Meijer_G-function wikiPageWikiLink Academic_Press.
- Meijer_G-function wikiPageWikiLink Analytic_function.
- Meijer_G-function wikiPageWikiLink Antiderivative.
- Meijer_G-function wikiPageWikiLink Arthur_Erdélyi.
- Meijer_G-function wikiPageWikiLink Barnes_integral.
- Meijer_G-function wikiPageWikiLink Bessel_function.
- Meijer_G-function wikiPageWikiLink Category:Hypergeometric_functions.
- Meijer_G-function wikiPageWikiLink Closure_(mathematics).
- Meijer_G-function wikiPageWikiLink Complex_plane.
- Meijer_G-function wikiPageWikiLink Computer_algebra_system.
- Meijer_G-function wikiPageWikiLink Confluent_hypergeometric_function.
- Meijer_G-function wikiPageWikiLink Derivative.
- Meijer_G-function wikiPageWikiLink Elementary_function.
- Meijer_G-function wikiPageWikiLink Erdelyi–Kober_operator.
- Meijer_G-function wikiPageWikiLink Fox_H-function.
- Meijer_G-function wikiPageWikiLink Fractional_calculus.
- Meijer_G-function wikiPageWikiLink Function_(mathematics).
- Meijer_G-function wikiPageWikiLink Functional_equation.
- Meijer_G-function wikiPageWikiLink Gamma_function.
- Meijer_G-function wikiPageWikiLink Generalized_hypergeometric_function.
- Meijer_G-function wikiPageWikiLink Gradshteyn_and_Ryzhik.
- Meijer_G-function wikiPageWikiLink Hankel_transform.
- Meijer_G-function wikiPageWikiLink Heaviside_step_function.
- Meijer_G-function wikiPageWikiLink Hypergeometric_function.
- Meijer_G-function wikiPageWikiLink Incomplete_gamma_function.
- Meijer_G-function wikiPageWikiLink Integral.
- Meijer_G-function wikiPageWikiLink Integral_transform.
- Meijer_G-function wikiPageWikiLink Laplace_transform.
- Meijer_G-function wikiPageWikiLink Leonhard_Euler.
- Meijer_G-function wikiPageWikiLink Lerch_zeta_function.
- Meijer_G-function wikiPageWikiLink Line_integral.
- Meijer_G-function wikiPageWikiLink MacRobert_E_function.
- Meijer_G-function wikiPageWikiLink Mellin_transform.
- Meijer_G-function wikiPageWikiLink Ordinary_differential_equation.
- Meijer_G-function wikiPageWikiLink Pole_(complex_analysis).
- Meijer_G-function wikiPageWikiLink Positive_real_numbers.
- Meijer_G-function wikiPageWikiLink Radius_of_convergence.
- Meijer_G-function wikiPageWikiLink Rational_number.
- Meijer_G-function wikiPageWikiLink Residue_(complex_analysis).
- Meijer_G-function wikiPageWikiLink Series_(mathematics).
- Meijer_G-function wikiPageWikiLink Singularity_(mathematics).
- Meijer_G-function wikiPageWikiLink Special_functions.
- Meijer_G-function wikiPageWikiLink Stirlings_approximation.
- Meijer_G-function wikiPageWikiLink Taylor_series.
- Meijer_G-function wikiPageWikiLink Vector_(mathematics_and_physics).
- Meijer_G-function wikiPageWikiLink Whittaker_function.
- Meijer_G-function wikiPageWikiLinkText "Meijer G-function".
- Meijer_G-function wikiPageWikiLinkText "Meijer_G-function#Integral_transforms_using_the_G-function".
- Meijer_G-function authorlink "Cornelis Simon Meijer".
- Meijer_G-function authorlink "Richard Askey".
- Meijer_G-function first "A. P.".
- Meijer_G-function first "A. U.".
- Meijer_G-function first "Adri B. Olde".
- Meijer_G-function first "Cornelis Simon".
- Meijer_G-function first "R. A.".
- Meijer_G-function first "Roop".
- Meijer_G-function first "Yu. A.".
- Meijer_G-function id "16.17".
- Meijer_G-function id "Meijer-G-functions&oldid=13688".
- Meijer_G-function id "Meijer_transform&oldid=12567".
- Meijer_G-function last "Askey".
- Meijer_G-function last "Brychkov".
- Meijer_G-function last "Daalhuis".
- Meijer_G-function last "Klimyk".
- Meijer_G-function last "Meijer".
- Meijer_G-function last "Narain".
- Meijer_G-function last "Prudnikov".
- Meijer_G-function title "Meijer G-Function".
- Meijer_G-function title "Meijer G-functions".
- Meijer_G-function title "Meijer transform".
- Meijer_G-function urlname "MeijerG-Function".
- Meijer_G-function wikiPageUsesTemplate Template:Cite_book.
- Meijer_G-function wikiPageUsesTemplate Template:Cite_journal.
- Meijer_G-function wikiPageUsesTemplate Template:Dlmf.
- Meijer_G-function wikiPageUsesTemplate Template:Eom.
- Meijer_G-function wikiPageUsesTemplate Template:Harv.
- Meijer_G-function wikiPageUsesTemplate Template:Harvs.
- Meijer_G-function wikiPageUsesTemplate Template:Mathworld.
- Meijer_G-function year "1936".
- Meijer_G-function year "1940".
- Meijer_G-function year "1941".
- Meijer_G-function year "1962".
- Meijer_G-function year "1963".
- Meijer_G-function subject Category:Hypergeometric_functions.
- Meijer_G-function type Type.
- Meijer_G-function type Function.
- Meijer_G-function type Redirect.
- Meijer_G-function type Type.
- Meijer_G-function comment "In mathematics, the G-function was introduced by Cornelis Simon Meijer (1936) as a very general function intended to include most of the known special functions as particular cases. This was not the only attempt of its kind: the generalized hypergeometric function and the MacRobert E-function had the same aim, but Meijer's G-function was able to include those as particular cases as well.".
- Meijer_G-function label "Meijer G-function".