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Asymptotic forms of Whittaker’s confluent hypergeometric functions
About this Title
A. Erdélyi and C. A. Swanson
Publication: Memoirs of the American Mathematical Society
Publication Year:
1957; Number 25
ISBNs: 978-0-8218-1225-9 (print); 978-0-8218-9967-0 (online)
DOI: https://doi.org/10.1090/memo/0025
MathSciNet review: 0090678
Table of Contents
Chapters
- 1. Introduction
- 2. Confluent hypergeometric functions
- 3. Bessel functions
- 4. Airy functions
- 5. The Bessel comparison functions
- 6. The functions $U$ and $T$
- 7. Asymptotic forms for the functions $u_r$ and $u_r’$
- 8. The Airy comparison functions
- 9. Asymptotic forms for the functions $v_r$ and $v_r’$
- 10. Asymptotic forms for Whittaker functions
- 11. Asymptotic forms for Coulomb wave functions
- 12. Simplified asymptotic forms for restricted $x$-intervals