Asymptotic forms of Whittaker's confluent hypergeometric functions / [electronic resource] A. Erd�elyi and C.A. Swanson.

By: Erd�elyi, ArthurContributor(s): Swanson, C. A. (Charles Andrew), 1929-Material type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 25.Publication details: Providence, R.I. : American Mathematical Society, 1957 (1994 printing)Description: 1 online resource (50 p.)ISBN: 9780821899670 (online)Subject(s): Hypergeometric functionsAdditional physical formats: Asymptotic forms of Whittaker's confluent hypergeometric functions /LOC classification: QA3 | .A57 no. 25Online resources: Contents | Contents
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 $u_r$ 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
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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

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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