THE DUAL OF A FORMULA OF VISKOV

Franciszek Hugon Szafraniec

Type: Article

Publication Date: 2003-11-01

Citations: 1

DOI: https://doi.org/10.4134/bkms.2003.40.4.699

Abstract

This minipaper offers a formula which is dual to that of Viskov [5]. While Viskov's can be thought of as a rising formula for Laguerre polynomials, ours is precisely the lowering one. Besides documenting the formula, which seems to be missing, we want to provide a (rather elementary) operator theory argument instead of making crude calculations. In other words, the annihilation and creation operators are confronted with lowering and rising formulae; they are often failed to be distinguished.

Locations

Bulletin of the Korean Mathematical Society - View - PDF

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Works That Cite This (1)

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+ PDF Chat	LAGUERRE AND MEIXNER POLYNOMIALS IN DUALITY	2005	Franciszek Hugon Szafraniec

Works Cited by This (1)

Action	Title	Year	Authors
+	The Askey-scheme of hypergeometric orthogonal polynomials and its q-analogue	1996	Roelof Koekoek René F. Swarttouw