When the independent variable is close to a critical point, it is shown that PVI can be asymptotically reduced to PIII. In this way, it is possible to compute the leading term of the critical behaviors of PVI transcendents starting from the behaviors of PIII transcendents.
An Asymptotic Reduction of a Painleve VI Equation to a Painleve’ III / Guzzetti, Davide. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL. - ISSN 1751-8113. - 44:21(2011), pp. 1-12. [10.1088/1751-8113/44/21/215203]
An Asymptotic Reduction of a Painleve VI Equation to a Painleve’ III
Guzzetti, Davide
2011-01-01
Abstract
When the independent variable is close to a critical point, it is shown that PVI can be asymptotically reduced to PIII. In this way, it is possible to compute the leading term of the critical behaviors of PVI transcendents starting from the behaviors of PIII transcendents.File in questo prodotto:
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