The Umbral Calculus

  • Steven Roman
Part of the Graduate Texts in Mathematics book series (GTM, volume 135)


In this chapter, we give a brief introduction to a relatively new subject, called the umbral calculus. This is an algebraic theory used to study certain types of polynomial functions that play an important role in applied mathematics. We give only a brief introduction to the subject — emphasizing the algebraic aspects rather than the applications. For more on the umbral calculus, we suggest The Umbral Calculus, by Roman [1984].


Linear Operator Formal Power Series Linear Functional Hermite Polynomial Laguerre Polynomial 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Steven Roman
    • 1
  1. 1.Department of MathematicsCalifornia State University at FullertonFullertonUSA

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