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Higher transcendental functions

Author: Harry Bateman; Arthur Erdélyi; Bateman Manuscript Project.; United States. Office of Naval Research.
Publisher: New York: McGraw-Hill, 1953-1955.
Edition/Format:   Print book : EnglishView all editions and formats
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Additional Physical Format: Online version:
Bateman Manuscript Project.
Higher transcendental functions.
New York, McGraw-Hill, 1953-55
(OCoLC)565346493
Document Type: Book
All Authors / Contributors: Harry Bateman; Arthur Erdélyi; Bateman Manuscript Project.; United States. Office of Naval Research.
OCLC Number: 627135
Notes: "Prepared at the California Institute of Technology under contract no. N6onr-244, task order XIV, with the Office of Naval Research. Project designation number: NR 043-045."
Volume I comprises chapters 1-6; Volume II, chapters 7-13; and Volume 3, chapters 8-19.
Description: 3 volumes : diagrams ; 24 cm
Contents: 1. The gamma function --
2. The hypergeometric function --
3. Legendre functions --
4. The generalized hypergeometric series --
5. Further generalizations of the hypergeometric function --
6. The confluent hypergeometric function --
7. Bessel functions --
8. Functions of the parabolic cylinder and of the paraboloid of revolution --
9. The incomplete gamma functions and related functions --
10. Orthogonal polynomials --
11. Spherical and hyperspherical harmonic polynomials --
12. Orthogonal polynomials in several variables --
13. Elliptic functions and integrals --14. Automorphic functions --
15. Lamé functions --
16. Mathieu functions, spheroidal and ellipsoidal wave functions --
17. Introduction to the functions of number theory --
18. Miscellaneous functions --
19. Generating functions.
Responsibility: Based, in part, on notes left by Harry Bateman, and compiled by the staff of the Bateman Manuscript Project. [Director: Arthur Erdélyi. Research associates: Wilhelm Magnus, Fritz Oberhettinger, and Francesco G. Tricomi].

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