Results 91 to 100 of about 6,019,879 (179)
Some results on holomorphic generalized functions
, 2011 In this note, we present three independent results within generalized complex analysis (in the Colombeau sense). The first of them deals with non-removable singularities; we construct a generalized function u on an open subset Omega of C(n), which is not
Jorge Aragona, ARAGONA, Jorge
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On the notion of a quaternionic holomorphic function
A physically more adequate definition of a quaternionic holomorphic (H-holomorphic) function of one quaternionic variable compared to known ones and a quaternionic generalization of Cauchy-Riemann's equations are presented.
Parfenov, Michael
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A new cross theorem for separately holomorphic functions
, 2010 We prove a new cross theorem for separately holomorphic ...
Pflug, Peter, Jarnicki, Marek
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Functions Holomorphic along Holomorphic Vector Fields
, 2018 The main result of the paper is the following generalization of Forelli's theorem (Math. Scand. 41: 358-364, 1977): Suppose F is a holomorphic vector field with singular point at p, such that F is linearizable at p and the matrix is diagonalizable ...
Schmalz, G, Kim, KT, Poletsky, E
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A hyperbolic-distance inequality for holomorphic maps
, 2019 We prove an inequality which quantifies the idea that a holomorphic self-map of the disc that perturbs two points is close to the identity ...
Ian Short +3 more
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Positive Values of a Holomorphic Function connected with the Collatz Problem [PDF]
textWe show that an entire holomorphic function F(z) connected with the Collatz problem (cf.
Hamada, Kazuhiro +3 more
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ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR
Advanced Engineering Research, 2006 In the article is given representation of the resolvent for generalized differential operator with generating function in the space of holomorphic functions.
A.V. BRATISHCHEV, A.V. MORZHAKOV
doaj
Holomorphic D-brane embeddings in D-brane backgrounds
Journal of High Energy PhysicsWe describe families of probe Dq-brane embeddings in the extremal black Dp-brane backgrounds of type IIA and type IIB supergravity, specified by an arbitrary holomorphic function of a complex coordinate on the worldvolume of the Dq-branes.
James Ratcliffe +2 more
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Eigenfunctions of the Weighted Composition Operators
Journal of Mathematical Extension, 2011 In the present paper, we characterize the eigenfunctions of a weighted composition operator on space of holomorphic function on the unit ...
H. Rezaei
doaj
On Decompositions of H-holomorphic functions into quaternionic power series [PDF]
Based on the full similarity in algebraic properties and differentiation rules between quaternionic (H-) holomorphic and complex (C-) holomorphic functions, we assume that there exists one holistic notion of a holomorphic function that has a H ...
Parfenov, Michael
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