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Erd�elyi, Arthur.

Asymptotic forms of Whittaker's confluent hypergeometric functions / [electronic resource] A. Erd�elyi and C.A. Swanson. - Providence, R.I. : American Mathematical Society, 1957 - 1 online resource (50 p.) - Memoirs of the American Mathematical Society, v. 25 0065-9266 (print); 1947-6221 (online); . - Memoirs of the American Mathematical Society ; no. 25. .

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


Mode of access : World Wide Web

ISBN: 9780821899670 (online)

Subjects--Topical Terms:
Hypergeometric functions.

LC Class. No.: QA3 / .A57 no. 25