One-Parameter Families of Conformal Mappings of the Half-Plane onto Polygonal Domains with Several Slits
نویسندگان
چکیده
Among various methods of finding accessory parameters in the Schwarz–Christoffel integrals, Kufarev’s method, based on Loewner differential equation, plays an important role. It is used for describing one-parameter families functions that conformally map a canonical domain onto polygon with slit endpoint which moves along polygonal line starting from boundary point. We present modification method case several slits, lengths have depend each other certain way. justify and find system ODEs dynamics parameters. also results numerical calculations confirm efficiency our method.
منابع مشابه
On the Linear Combinations of Slanted Half-Plane Harmonic Mappings
In this paper, the sufficient conditions for the linear combinations of slanted half-plane harmonic mappings to be univalent and convex in the direction of $(-gamma) $ are studied. Our result improves some recent works. Furthermore, a illustrative example and imagine domains of the linear combinations satisfying the desired conditions are enumerated.
متن کاملInverse Problems Generated by Conformal Mappings on Complex Plane with Parallel Slits
We study the properties of a conformal mapping z(k; h) from K(h)
متن کاملConformal Geometry of One-parameter Families of Curves
A single regular analytic arc in the plane has no conformai differential invariants. The conformai theory of curvilinear angles was initiated by Kasner, and has been elaborated by him and others. The present paper is concerned with conformai differential invariants of a real one-parameter family of regular analytic arcs in the plane. We assume that the family is defined in some region R of the ...
متن کاملOn Conformal Conic Mappings of Spherical Domains
The problem of the generation of homogeneous grids for spherical domains is considered in the class of conformal conic mappings. The equivalence between secant and tangent projections is shown and splitting the set of conformal conic mappings into equivalence classes is presented. The problem of minimization of the mapping factor variation is solved in the class of conformal conic mappings. Obt...
متن کاملComputing Conformal Maps onto Canonical Slit Domains
We extend the results of [2] by computing conformal maps onto the canonical slit domains in Nehari [14]. Along the way, we demonstrate the computability of solutions to Neuman problems.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Lobachevskii Journal of Mathematics
سال: 2023
ISSN: ['1995-0802', '1818-9962']
DOI: https://doi.org/10.1134/s1995080223040224