DOI
10.34229/KCA2522-9664.25.1.7
UDC 519.6
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2 Taras Shevchenko National University of Kyiv, Kyiv, Ukraine
 mayko@knu.ua
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RECONSTRUCTING THE RECURRENCE RELATION FOR A SYSTEM
OF POLYNOMIALS USED IN A PROBLEM WITH A FRACTIONAL DERIVATIVE
Abstract. We develop and substantiate the algorithm of finding the recurrence relation 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, recurrence relation, polynomial coefficient, rational number.
full text
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