TY - BOOK AU - Erd�elyi,Arthur AU - Swanson,C.A. TI - Asymptotic forms of Whittaker's confluent hypergeometric functions T2 - Memoirs of the American Mathematical Society, SN - 9780821899670 (online) AV - QA3 .A57 no. 25 PY - 1957/// CY - Providence, R.I. PB - American Mathematical Society KW - Hypergeometric functions N1 - Includes bibliographical references; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0025 UR - http://dx.doi.org/10.1090/memo/0025 ER -