GUIDE TO THE UMBRAL CALCULUS

This book covers different aspects of umbral calculus and of its more recent developments. It discusses the technical details in depth, including its relevant applications. The book has therefore manyfold scopes to introduce a mathematical tool, not widespread known as it should be; to present a complete account of the relevant capabilities through the use of different examples of applications; to provide a formal bridge between different fields of research in pure and applied.

Contents:
PrefaceAcknowledgmentsIntroductionOperator Theory and Umbral CalculusUmbral Formulation of Hermite PolynomialsSpecial Polynomials and Umbral OperatorsBessel Functions and Umbral CalculusBessel Functions and Umbral TrigonometriesNumber Theory and Umbral CalculusComplements and ExercisesConclusionsBibliographyIndex
Readership: Undergraduates, graduates and research professionals in mathematical physics.

Key Features:
The book comes after more than 40 years the publication of the book by S Roman Umbral Calculus, Dover (1978) Since that time many things have changed the symbolic calculus became widely used in computer codes and the theory of special functions have been implemented in platforms like "Mathematica" There are therefore good chances that the book will be of interest for computer scientists, applied mathematicians and physicists