• Title, Summary, Keyword: raising and lowering formulae

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THE DUAL OF A FORMULA OF VISKOV

  • Szafraniec, Franciszek Hugon
    • Bulletin of the Korean Mathematical Society
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    • v.40 no.4
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    • pp.699-701
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    • 2003
  • 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.