1.

Record Nr.

UNINA9910788769303321

Autore

Erdélyi Arthur

Titolo

Asymptotic forms of Whittaker's confluent hypergeometric functions / / A. Erdélyi, C.A. Swanson

Pubbl/distr/stampa

Providence, R.I. : , : American Mathematical Society, , 1957

ISBN

0-8218-9967-8

Descrizione fisica

1 online resource (60 pages)

Collana

Memoirs of the American Mathematical Society ; ; number 25

Soggetti

Airy functions

Coulomb functions

Hypergeometric functions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Cover title.

Nota di bibliografia

Bibliography: pages 49-50.

Nota di contenuto

""Table of Contents""; ""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[sub(r)] and u[sub(r)]'""; ""8. The Airy comparison functions""; ""9. Asymptotic forms for the functions v[sub(r)] and v[sub(r)]'""; ""10. Asymptotic forms for Whittaker functions""; ""11. Asymptotic forms for Coulomb wave functions""; ""12. Simplified asymptotic forms for restricted x-intervals""; ""References""