holomorphic function

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Related to Holomorphy: Holomorphic function

hol·o·mor·phic function

(hŏl′ō-môr′fĭk, hō′lō-)
n. Mathematics
A function on a region of a complex plane, differentiable at every point in the region. Also called analytic function.
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References in periodicals archive ?
We use the term "Liouville theorem" because such functions are related with holomorphy properties their Fourier transforms (see, for example, [3,25]).
Polynomials in Banach spaces (at least for complex scalars) are of fundamental importance in the theory of Infinite Dimensional Holomorphy (see [35, 50]).
Therefore only [mathematical expression not reproducible] is allowed under the consideration of FN mechanism and holomorphy. For now we only consider squark-messenger-messenger interaction; this is mainly because the squark-squark-messenger interaction under FN charges has been discussed in the literature [69].
Porten, "Holomorphic extension of CR functions, envelopes of holomorphy, and removable singularities," International Mathematics Research Surveys, vol.
This first of two volumes of proceedings contains 19 technical papers on such topics as instabilities in kinetic theory and their relationship to the ergodic theorem, the uniqueness of photon spheres in static vacuum asymptotically flat spacetimes, an initial-boundary value problem in a strip for two-dimensional equations of Zacharov-Kunzhetsov type, an extension of harmonicity and holomorphy, and over-determined transforms in integral geometry.
For the domain of [L.sup.2] convergence this can be done by the holomorphy of the covariance function of the profil-polynomial as in (CDJH01).
Rational approximation to holomorphic functions on compact subsets of their domain of holomorphy is a most classical aspect of function theory.
Among his topics are the minimal supersymmetrical standard model, gauge mediation, holomorphy, superconformal field theories, and supergravity.
It remains to prove the holomorphy of [E.sub.[Phi]].
They cover distinguishing vectors in local representations, global L-functions for GSP4 X GL2, the pullback formula, holomorphy of global L-functions for GSp4 X GL2, and applications.