Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F20%3A00114777" target="_blank" >RIV/00216224:14310/20:00114777 - isvavai.cz</a>
Result on the web
<a href="http://nzjm.math.auckland.ac.nz/index.php/Schwarz_triangle_functions_and_duality_for_certain_parameters_of_the_generalised_Chazy_equation" target="_blank" >http://nzjm.math.auckland.ac.nz/index.php/Schwarz_triangle_functions_and_duality_for_certain_parameters_of_the_generalised_Chazy_equation</a>
DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation
Original language description
Schwarz triangle functions play a fundamental role in the solutions of the generalised Chazy equation. We determine the Schwarz triangle func- tions that appear in the solutions in the cases where k = 2 3 , 3 2 , 2 and 3. Chazy has shown that for the parameters k = 2 and 3, the equations can be linearised. Some of the Schwarz triangle functions that show up in the solutions to the generalised Chazy equation with these two parameters also show up in the dual cases where k = 2 3 and k = 3 2 , suggesting an intriguing connection between the solutions for k = 2 and k = 3 with dihedral and tetrahedral symmetry respectively, and the solutions for k = 2 3 ; 3 2 with G2 symmetry. © 2020 New Zealand Mathematical Society and Department of Mathematics, University of Auckland.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GBP201%2F12%2FG028" target="_blank" >GBP201/12/G028: Eduard Čech Institute for algebra, geometry and mathematical physics</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
New Zealand Journal of Mathematics
ISSN
1179-4984
e-ISSN
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Volume of the periodical
50
Issue of the periodical within the volume
2020
Country of publishing house
NZ - NEW ZEALAND
Number of pages
25
Pages from-to
181-205
UT code for WoS article
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EID of the result in the Scopus database
2-s2.0-85103252146