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D. W. Lozier and F. W. J. Olver
5. Functions of Two or More Variables
As in § 4, an indication is made of the programming language where applicable and special note is made of references that include surveys. Libraries and interactive systems are listed separately, and similar remarks apply about the inclusiveness of the subsections.
5.3. Elliptic Integrals and Functions
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5.4. Fermi-Dirac, Bose-Einstein, and Debye Integrals
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5.5. Hypergeometric and Confluent Hypergeometric Functions
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5.6. Incomplete Bessel Functions, Incomplete Beta Function
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5.7. Incomplete Gamma Functions, Generalized Exponential Integrals
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5.8. Legendre and Associated Legendre Functions
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5.9. Mathieu, Lamé, and Spheroidal Wave Functions
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5.10. Orthogonal Polynomials
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5.11. Polylogarithms (Generalized)
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5.12. Struve and Anger-Weber Functions
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5.13. Weber Parabolic Cylinder Functions
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5.14. Zeta Function (Generalized)
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The original abstract follows.
Higher transcendental functions continue to play varied and important roles in investigations by engineers, mathematicians, scientists and statisticians. The purpose of this paper is to assist in locating useful approximations and software for the numerical generation of these functions, and to offer some suggestions for future developments in this field.
Applied and Computational Mathematics Division, National Institute of Standards and Technology, Gaithersburg, Md 20899
E-mail address: dlozier@nist.gov
Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742
E-mail address: olver@bessel.umd.edu
The research of the second author has been supported by NSF Grant CCR 89-14933.
1991 Mathematics Subject Classification. Primary 65D20; Secondary 33-00.