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THE DUAL OF A FORMULA OF VISKOV
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 Title & Authors
THE DUAL OF A FORMULA OF VISKOV
Szafraniec, Franciszek Hugon;
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 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.
 Keywords
Laguerre polynomials;raising and lowering formulae;weighted shift operator;
 Language
English
 Cited by
 References
1.
Delft University of Technology, Report of the Department of Technical Mathematics and Informatics no. 98-17, 1998.

2.
Acta Sci. Math., 1975. vol.37. pp.115-116

3.
Univ. Iagel. Acta Math., 1991. vol.28. pp.163-170

4.
Proc. Segovia (Spain), 1986 Monogr. Acad. Cienc. Zaragoza R.-C. Plalacios, 1988. vol.1. pp.153-155

5.
Acta. Sci. Math., 1977. vol.39. pp.27-28