Computation of Period Matrices of Real Algebraic Curves*
Computation of Poisson type integrals.
Computational complexity. On the geometry of polynomials and a theory of cost. I
Computing Elliptic Integrals by Duplication.
Computing the generating function of a series given its first few terms.
Concave functions, Blaschke products, and polygonal mappings.
Concave schlicht functions with bounded opening angle at infinity.
Concordant sequences and integral-valued entire functions
A classic theorem of Pólya shows that the function is the “smallest” integral-valued entire transcendental function. A variant due to Gel’fond applies to entire functions taking integral values on a geometric progression of integers, and Bézivin has given a generalization of both results. We give a sharp formulation of Bézivin’s result together with a further generalization.
Conditions for Carathéodory functions.
Conditions of analyticity for functions of one complex variable.
Conformal actions with prescribed periods on Riemann surfaces
It is a natural question what is the set of minimal periods of a holomorphic maps on a Riemann surface of negative Euler characteristic. Sierakowski studied ordinary holomorphic periods on classical Riemann surfaces. Here we study orientation reversing automorphisms acting on classical Riemann surfaces, and also automorphisms of non-orientable unbordered Klein surfaces to which, following Singerman, we shall refer to as non-orientable Riemann surfaces. We get a complete set of conditions for the...
Conformal and quasiconformal mappings of close multiply-connected domains.
Conformal conjugation of Fuchsian groups from the first kind to the second kind.
Conformal dimension and Gromov hyperbolic groups with 2-sphere boundary.
Conformal invariants in the punctured unit disk.
Conformal mapping and inverse conductivity problem with one measurement
This work deals with a two-dimensional inverse problem in the field of tomography. The geometry of an unknown inclusion has to be reconstructed from boundary measurements. In this paper, we extend previous results of R. Kress and his coauthors: the leading idea is to use the conformal mapping function as unknown. We establish an integrodifferential equation that the trace of the Riemann map solves. We write it as a fixed point equation and give conditions for contraction. We conclude with a series...
Conformal Mapping by the Method of Alternating Projections.
Conformal Mapping of Riemann Surfaces and the Classical Theory of Univalent Functions
Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc
The conformal mapping ω(z) of a domain D onto the unit disc must satisfy the condition |ω(t)| = 1 on ∂D, the boundary of D. The last condition can be considered as a Dirichlet problem for the domain D. In the present paper this problem is reduced to a system of functional equations when ∂D is a circular polygon with zero angles. The mapping is given in terms of a Poincaré series.
Conformal mapping of the halfplane onto a strip with variable width