Series solution of Painlevé II in electrodiffusion: conjectured convergence
نویسندگان
چکیده
منابع مشابه
Numerical Solution of Riemann-Hilbert Problems: Painlevé II
We describe a new, spectrally accurate method for solving matrixvalued Riemann–Hilbert problems numerically. The effectiveness of this approach is demonstrated by computing solutions to the homogeneous Painlevé II equation. This can be used to relate initial conditions with asymptotic behaviour.
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15 صفحه اولA Class of Conjectured Series Representations for 1/π
Using the second conjecture in the paper [10] of the author and inspired by the theory of modular functions we find a method which allows us to obtain explicit formulae, involving η or θ functions, for the parameters of a class of series for 1/π. As in [10], the series considered in this paper include Ramanujan’s series as well as those associated with the Domb numbers and Apéry numbers. 1 A sp...
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ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2017
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aa9bb0