Convergence of Formal Solutions to the Second Member of the Fourth Painlevé Hierarchy in a Neighborhood of Zero.

Autor:	Anoshin, V. I., Beketova, A. D., Parusnikova, A. V., Prokopenko, E. D.
Předmět:	SYMBOLIC computation NEIGHBORHOODS DIFFERENTIAL equations PAINLEVE equations COMPUTER systems
Zdroj:	Computational Mathematics & Mathematical Physics; Jan2023, Vol. 63 Issue 1, p86-95, 10p
Abstrakt:	The second member of the fourth Painlevé hierarchy is considered. Convergence of certain power asymptotic expansions in a neighborhood of zero is proved. New families of power asymptotic expansions are found. Computations are carried out using a computer algebra system. Reference to a code that can be used for computing the Gevrey order of the formal expansion of the solution to the second-order differential equation in a symbolic computation packet is given. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
Externí odkaz:	Zobrazit plný text záznamu Full text from SpringerLink