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Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral

-plane onto a polygonal domain, which generalizes the Schwarz–Christoffel equation. It is obtained by terms

On a new representation for the solution of the Riemann–Hilbert problem

Bezrodnykh S.I., Vlasov V.I.

Christoffel–Schwarz integral

On the analytic continuation of the Lauricella function F D (N)

Bezrodnykh S.I.

Christoffel–Schwarz integral

Univalent conformal mappings onto polygonal domains with countable set of vertices by generalized Christoffel–Schwarz integral

-plane onto a polygonal domain, which generalizes the Schwarz–Christoffel equation. It is obtained by terms

Jacobi-type differential relations for the Lauricella function FD (N)

Bezrodnykh S.I.

Christoffel–Schwarz integral

Analytic continuation of the Appell function F 1 and integration of the associated system of equations in the logarithmic case

Bezrodnykh S.I.

of the Schwarz–Christoffel integral. © 2017, Pleiades Publishing, Ltd.

Explicit forms of the Schwarz integral with applications for inverse boundary-value problems

Abubakirov N., Aksent'Ev L.

We obtain new explicit forms of the Schwarz integral in the unit circle. By means of superpositions

Explicit forms for the Schwarz integrals in an annulus and their applications

Abubakirov N., Aksent’ev L.

© 2015, Pleiades Publishing, Ltd. The article presents new explicit forms of the Schwarz integral

Finding the coefficients in the new representation of the solution of the Riemann–Hilbert problem using the Lauricella function

Bezrodnykh S.I.

for the case in which the data of the problem is piecewise constant can be expressed as a Christoffel

Analytic continuation of the Lauricella function with arbitrary number of variables

Bezrodnykh S.I.

Schwartz–Christoffel integral

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