Results 111 to 120 of about 5,162,686 (175)
ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR
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
Conformality and semiconformality of a function holomorphic in the disk
Conformality and semiconformality at a boundary point, of a function f nonconstant and holomorphic in | z | > 1 \left | z \right | > 1 are local properties.
Shinji Yamashita
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Holomorphic D-brane embeddings in D-brane backgrounds
We 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
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 a Class of Holomorphic Functions [PDF]
openaire +1 more source
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
core
Green’s function and anti-holomorphic dynamics on a torus
. We give a new, simple proof of the fact recently discovered by C.-S. Lin and C.-L. Wang that the Green function of a torus has either three or five critical points, depending on the modulus of the torus. The proof uses anti-holomorphic dynamics.
Alexandre Eremenko, Walter Bergweiler
core
ON THE RESOLVENT OF SOME CLASS OF GENERALIZED DIFFERENTIAL OPERATOR
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
On the [Epsilon]-discrete holomorphic deformations of holomorphic functions
In this thesis, we study a special type of functions called ε-discrete holomorphic functions, which are complex-valued functions that satisfy a difference equation on the complex plane for ε > 0:f(z)+if(z+ε)+i2f(z+ε+εi)+i3f(z+εi)=0.This equation can ...
Wong, Tsz Wai
core
ZEROS OF NEIGHBORING HOLOMORPHIC FUNCTIONS [PDF]
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