Continued Fractions and Conformal Mappings for Domains with Angle Points
Тип публикации: Journal Article
Дата публикации: 2019-09-20
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ISSN: 14757192
Clinical Psychology
Psychiatry and Mental health
Pshychiatric Mental Health
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Here we construct the conformal mappings with the help of continuous fractions approximations. These approximations converge to the algebraic roots $\sqrt[N]{z}$ for $N \in \mathbb{N}$ and $z$ from the right half-plane of the complex plane. We estimate both the convergence rate and the compact set of convergence. Also we give the examples that illustrate the introduced technique of a conformal mapping construction.
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Ivanshin P. N. Continued Fractions and Conformal Mappings for Domains with Angle Points // International Journal of Psychosocial Rehabilitation. 2019. Vol. 23. No. 3. pp. 712-733.
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Ivanshin P. N. Continued Fractions and Conformal Mappings for Domains with Angle Points // International Journal of Psychosocial Rehabilitation. 2019. Vol. 23. No. 3. pp. 712-733.
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TY - JOUR
DO - 10.37200/IJPR/V23I3/PR190361
UR - https://doi.org/10.37200/IJPR/V23I3/PR190361
TI - Continued Fractions and Conformal Mappings for Domains with Angle Points
T2 - International Journal of Psychosocial Rehabilitation
AU - Ivanshin, Pyotr N.
PY - 2019
DA - 2019/09/20
PB - Hampstead Psychological Associates
SP - 712-733
IS - 3
VL - 23
SN - 1475-7192
ER -
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@article{2019_Ivanshin,
author = {Pyotr N. Ivanshin},
title = {Continued Fractions and Conformal Mappings for Domains with Angle Points},
journal = {International Journal of Psychosocial Rehabilitation},
year = {2019},
volume = {23},
publisher = {Hampstead Psychological Associates},
month = {sep},
url = {https://doi.org/10.37200/IJPR/V23I3/PR190361},
number = {3},
pages = {712--733},
doi = {10.37200/IJPR/V23I3/PR190361}
}
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MLA
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Ivanshin, Pyotr N.. “Continued Fractions and Conformal Mappings for Domains with Angle Points.” International Journal of Psychosocial Rehabilitation, vol. 23, no. 3, Sep. 2019, pp. 712-733. https://doi.org/10.37200/IJPR/V23I3/PR190361.
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