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The difference operators and extended Laguerre polynomials
Published online by Cambridge University Press: 17 April 2009
Abstract
A new set of polynomials in powers of xh (h > 0) which are related to the Laguerre polynomials
, have been defined by a Rodrigues type formula involving the forward difference operator Δh of increment h. Besides obtaining shift operator formulae for
, a definition of fractional power
of Δh has been given. The definition has been illustrated by establishing known relations of the confluent hypergeometric function.
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- Copyright © Australian Mathematical Society 1983
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