Umbral calculus and special functions

@article{Ueno1988UmbralCA,
  title={Umbral calculus and special functions},
  author={K. Ueno},
  journal={Advances in Mathematics},
  year={1988},
  volume={67},
  pages={174-229}
}
  • K. Ueno
  • Published 1988
  • Mathematics
  • Advances in Mathematics
Developpement du calcul symbolique des puissances et de la methode des coalgebres et des comodules associee. Application a l'etude des fonctions speciales classiques (hypergeometriques, de Laguerre-Sonine, d'Hermite-Weber, de Legendre et de Bessel) 
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Sur l'Inversion et l'Iteration Continue des Séries Formelles
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TLDR
This paper deals with the composition of normalised formal power series, in one variable, over an arbitrary field K of characteristic zero, using a suitable group structure B ⊙ on the set B of polynomial sequences of binomial type to obtain many formal variants of the classical Lagrange inversion formula. Expand
The Umbral Calculus
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 anExpand
The theory of the umbral calculus III