- Mellin transform
- преобразование n Меллина
English-Russian Dictionary on Probability, Statistics, and Combinatorics. — Philadelphia and Moscow. Society for Industrial and Applied Mathematics and TVP Science Publishers. K. A. Borovkov. 1994.
Mellin transform
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Mellin transform — In mathematics, the Mellin transform is an integral transform that may be regarded as the multiplicative version of the two sided Laplace transform. This integral transform is closely connected to the theory of Dirichlet series, and is often used … Wikipedia
Mellin inversion theorem — In mathematics, the Mellin inversion formula (named after Hjalmar Mellin) tells us conditions under which the inverse Mellin transform, or equivalently the inverse two sided Laplace transform, are defined and recover the transformed function. If… … Wikipedia
Transform theory — In mathematics, transform theory is the study of transforms. The essence of transform theory is that by a suitable choice of basis for a vector space a problem may be simplified mdash; or diagonalized as in spectral theory.pectral theoryIn… … Wikipedia
Laplace transform — In mathematics, the Laplace transform is one of the best known and most widely used integral transforms. It is commonly used to produce an easily soluble algebraic equation from an ordinary differential equation. It has many important… … Wikipedia
Two-sided Laplace transform — In mathematics, the two sided Laplace transform or bilateral Laplace transform is an integral transform closely related to the Fourier transform, the Mellin transform, and the ordinary or one sided Laplace transform. If f ( t ) is a real or… … Wikipedia
Hjalmar Mellin — Robert Hjalmar Mellin (June 19 1854 in Liminka April 5 1933 in Helsinki) was a Finnish mathematician. He studied at the University of Helsinki and later in Berlin under Karl Weierstrass. He is most noted as the developer of the integral transform … Wikipedia
Sumudu transform — In mathematics, the Sumudu transform, is an integral transform similar to the Laplace transform, introduced in the early 1990s by Gamage K. Watugala to solve differential equations and control engineering problems.Formal DefinitionThe Sumudu… … Wikipedia
Transformation de Mellin — En mathématiques, la transformation de Mellin est une transformation intégrale qui peut être considérée comme la version multiplicative (en) de la transformation de Laplace bilatérale. Cette transformation intégrale est fortement reliée à la … Wikipédia en Français
Inverse Laplace transform — Contents 1 Mellin s inverse formula 2 Post s inversion formula 3 See also 4 References 5 Ext … Wikipedia
Meijer G-function — 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… … Wikipedia
Riemann zeta function — ζ(s) in the complex plane. The color of a point s encodes the value of ζ(s): dark colors denote values close to zero and hue encodes the value s argument. The white spot at s = 1 is the pole of the zeta function; the black spots on the… … Wikipedia
