holomorphic


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holomorphic

(ˌhɒləˈmɔːfɪk)
adj
(Mathematics) maths another word for analytic5
Translations
holomorph
holomorphe
holomorficzny
References in periodicals archive ?
The topics include theta functions and holomorphic Jacobi forms, classical Maass forms, differential operators and mock modular forms, examples of harmonic Maass forms, Ramanujan's mock theta functions, the mock modular Eichler-Shimua theory, asymptotics for coefficients of modular-type functions, harmonic Mass forms as arithmetic and geometric generating functions, generalized Borcherds products, and representation theory and mock modular forms.
Then, up to a bimeromorphic transformation, X is holomorphic, X has a first integral or S has a rational or elliptic fibration preserved by X (with each component of the locus of poles of X contained in a fiber).
Abstract: Suppose that fi is a domain of On , n S 1 , E c f i closed in fi , the Hausdorff measure H2 n -1 (E )= 0 , and f is holomorphic in fi \ E .
Alves, Lineability and algebrability of the set of holomorphic functions with a given domain of existence, Studia Math.
for the collection of holomorphic maps from some annulus [A.
A criterion for holomorphic families of Hideki MIYACHI Riemann surfaces to be virtually isomorphic Communicated by Shigefumi MORI, M.
is said to admit a holomorphic extension if there exists [delta] > 0 and a holomorphic function [?
Advanced topics included vector-valued functions, the implicit function theorem, extremal problems, matrix-valued holomorphic functions, matrix equations, realization theory, eigenvalue location and zero location problems, convexity, and some special results relating to matrices with nonnegative entries.
If P (or F) is parallel, then the holomorphic distribution H is intergrable.
i]> S(s + c, [LAMBDA])([xi]) is holomorphic in a neighborhood of 0.
j] (t, z) are holomorphic functions on D with respect to t and near the origin in z and [phi](t) is a solution of a general algebraic first order differential equation