Meixner polynomials and their properties

1Makarov, VL
1Institute of Mathematics of the NAS of Ukraine, Kyiv
Dopov. Nac. akad. nauk Ukr. 2019, 7:3-8
Section: Mathematics
Language: Ukrainian

A number of properties of a special case of Meixner polynomials given by their generating function are investigated.
These polynomials arise when applying the Cayley transformation method to solving the first bounda ryvalue
problem for an abstract differential equation of the second order with an unbounded operator coefficient.

Keywords: Cayley transformation method, generating function, Green function, Meixner polynomials, recurrent equations

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