# Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

Annales Polonici Mathematici (1998)

- Volume: 68, Issue: 3, page 227-236
- ISSN: 0066-2216

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topVladimir Mityushev. "Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc." Annales Polonici Mathematici 68.3 (1998): 227-236. <http://eudml.org/doc/270219>.

@article{VladimirMityushev1998,

abstract = {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.},

author = {Vladimir Mityushev},

journal = {Annales Polonici Mathematici},

keywords = {conformal mapping; boundary value problem; functional equation; Dirichlet problem; Poincaré series},

language = {eng},

number = {3},

pages = {227-236},

title = {Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc},

url = {http://eudml.org/doc/270219},

volume = {68},

year = {1998},

}

TY - JOUR

AU - Vladimir Mityushev

TI - Conformal mapping of the domain bounded by a circular polygon with zero angles onto the unit disc

JO - Annales Polonici Mathematici

PY - 1998

VL - 68

IS - 3

SP - 227

EP - 236

AB - 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.

LA - eng

KW - conformal mapping; boundary value problem; functional equation; Dirichlet problem; Poincaré series

UR - http://eudml.org/doc/270219

ER -

## References

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