Guide To The Umbral Calculus, A Different Mathematical Language
Guide To The Umbral Calculus, A Different Mathematical Language
by Licciardi, Silvia;Dattoli, Giuseppe;
English | 2022 | ISBN: 9811255326 | 295 pages | True PDF EPUB | 56.25 MB
by Licciardi, Silvia;Dattoli, Giuseppe;
English | 2022 | ISBN: 9811255326 | 295 pages | True PDF EPUB | 56.25 MB
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:
- Preface
- Acknowledgments
- Introduction
- Operator Theory and Umbral Calculus
- Umbral Formulation of Hermite Polynomials
- Special Polynomials and Umbral Operators
- Bessel Functions and Umbral Calculus
- Bessel Functions and Umbral Trigonometries
- Number Theory and Umbral Calculus
- Complements and Exercises
- Conclusions
- Bibliography
- Index
Readership: Undergraduates, graduates and research professionals in mathematical physics.