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umbral calculus

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1: 24.4 Basic Properties
24.4.39 E n ( x + h ) = ( E ( x ) + h ) n .
For these results and also connections with the umbral calculus see Gessel (2003). …
2: Bibliography G
  • I. M. Gessel (2003) Applications of the classical umbral calculus. Algebra Universalis 49 (4), pp. 397–434.
  • 3: Bibliography
  • G. E. Andrews (2000) Umbral calculus, Bailey chains, and pentagonal number theorems. J. Combin. Theory Ser. A 91 (1-2), pp. 464–475.