WebOct 26, 2014 · A pseudofunction is a function derived as a remainder (or rump function), after performing an operation upon another function which originally may not be analytic or amenable to analysis. These pseudofunctions are also called hypersingular functions (used a lot, apparently, in the field of "fracture analysis"). Weblems for these equations to the same problem for harmonic or analytic functions. The corresponding problems for analytic functions can readily be handled by conformal mapping techniques. We employ a method developed by Bers [1 ] in the study of pseudo-analytic functions. In order to illustrate the ideas, we have picked
Pseudoconvex Function -- from Wolfram MathWorld
In mathematics, pseudoanalytic functions are functions introduced by Lipman Bers (1950, 1951, 1953, 1956) that generalize analytic functions and satisfy a weakened form of the Cauchy–Riemann equations. See more • If $${\displaystyle f(z)}$$ is not the constant $${\displaystyle 0}$$, then the zeroes of $${\displaystyle f}$$ are all isolated. • Therefore, any analytic continuation of $${\displaystyle f}$$ is unique. See more • Kravchenko, Vladislav V. (2009). Applied pseudoanalytic function theory. Birkhauser. ISBN 978-3-0346-0004-0. • Bers, Lipman (1951), "Partial differential equations and generalized analytic functions. Second Note" (PDF), Proceedings of the National Academy of Sciences of the United States of America See more • Complex constants are pseudoanalytic. • Any linear combination with real coefficients of pseudoanalytic functions is pseudoanalytic. See more • Quasiconformal mapping • Elliptic partial differential equations • Cauchy-Riemann equations See more WebJul 1, 2013 · Using as a base the pseudo-analysis, the problem of railway routing is treated. First a deterministic approach is applied on three and four stations. libyacano foundation
Definition of distribution, pseudofunction, and tempered …
WebAug 1, 2001 · Based on semiring structure there is presented briefly the so called pseudoanalysis in an analogous way as classical analysis, introducing ⊕-measure, … Webof a single-valued pseudo-analytic function 𝒲𝒲(𝑧𝑧) is called a pole if 𝒲𝒲(𝑧𝑧) ∼𝑐𝑐(𝑧𝑧−𝑧𝑧. 0) −𝑛𝑛. 0, where 𝑐𝑐≠0 and 𝑛𝑛 is a positive integer , an essential singularity if 𝒲𝒲(𝑧𝑧) comes arbitrary . 0. Theorem 3. An isolated singularity of a single-valued pseudo ... WebNov 5, 2015 · The solutions of are known as generalized (or pseudo) analytic functions. Later on, related complex methods were also applied to linear elliptic systems of 2m-equations, with 2m unknown and two independent variables and higher-order analogues of generalized (or pseudo) analytic functions were obtained in [1, 3, 5–7]. libya ceasefire agreement