Функції і поліноми Лагерра–Келі

V.  Makarov; S.  Makarov

doi:10.3842/umzh.v76i3.7810

V. Makarov Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv
S. Makarov National Center "Small Academy of Sciences of Ukraine", Kyiv

DOI: https://doi.org/10.3842/umzh.v76i3.7810

Abstract

UDC 517.587

We investigate the main properties of Laguerre–Cayley functions and related polynomials, which can be regarded as an essential component of mathematical apparatus of the functional-discrete (FD-) method for solving the Cauchy problem for an abstract homogeneous evolutionary equation of fractional order.

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