AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
The Finite Calculus Associated with Bessel Functions
About this Title
Frank M. Cholewinski
Publication: Contemporary Mathematics
Publication Year:
1988; Volume 75
ISBNs: 978-0-8218-5083-1 (print); 978-0-8218-7664-0 (online)
DOI: https://doi.org/10.1090/conm/075
MathSciNet review: 956050
Table of Contents
Download chapters as PDF
Front/Back Matter
Chapters
- 1. Introduction
- 2. Definitions and Preliminary Results
- 3. The v-Umbral Algebra
- 4. The v-Umbral Field
- 5. The Group of v-Delta Functionals Under Composition
- 6. Generalized Binomial Polynomial Sequences
- 7. The Composition of Polynomial Sequences
- 8. Compositions of Moebius Delta Functionals
- 9. Generalized Shift Invariant Operators
- 10. The Generalized Derivative of v-Shift Invariant Operators
- 11. Generalized Sheffer Polynomials
- 12. Cross Sets of Polynomials
- 13. A Class of Laguerre Type Polynomials
- 14. The Generalized Heat Polynomials
- 15. A Primitive Integral for the Euler Operator
- 16. Bernoulli Type Polynomials and Numbers
- 17. Generalized Euler Polynomials and Numbers
- 18. Generalized Stirling Numbers and Factor Polynomials
- Bibliography