DOI
10.34229/KCA2522-9664.24.5.9
UDC 519.6
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2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
 mayko@knu.ua
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RECONSTRUCTION OF THE PDE WITH POLYNOMIAL COEFFICIENTS BASED
ON THE INFORMATION ABOUT ITS SOLUTIONS
Abstract. We develop and substantiate the algorithm for finding an ordinary differential equation of minimum order with polynomial coefficients over the field of rational numbers, whose solutions are a given system of polynomials (here, a system of the modified Laguerre–Cayley polynomials).
Keywords: system of the Laguerre–Cayley polynomials, the Mittag-Leffler function, ordinary differential equation, polynomial coefficient, rational number.r.
full text
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