NIST handbook of mathematical functions

著者

• Olver, Frank W. J.
• United States. National Institute of Standards and Technology
• Lozier, Daniel W.
• Boisvert, Ronald F.
• Clark, Charles W.

書誌事項

NIST handbook of mathematical functions

Frank W. J. Olver, editor-in-chief and mathematics editor ; Daniel W. Lozier, general editor ; Ronald F. Boisvert, information technology editor ; Charles W. Clark, physical sciences editor

Cambridge University Press, 2010

• : hbk
• : pbk

注記

"NIST, National Institute of Standards and Technology, U.S. Department of Commerce"

内容説明・目次

内容説明

Modern developments in theoretical and applied science depend on knowledge of the properties of mathematical functions, from elementary trigonometric functions to the multitude of special functions. These functions appear whenever natural phenomena are studied, engineering problems are formulated, and numerical simulations are performed. They also crop up in statistics, financial models, and economic analysis. Using them effectively requires practitioners to have ready access to a reliable collection of their properties. This handbook results from a 10-year project conducted by the National Institute of Standards and Technology with an international group of expert authors and validators. Printed in full colour, it is destined to replace its predecessor, the classic but long-outdated Handbook of Mathematical Functions, edited by Abramowitz and Stegun. Includes a DVD with a searchable PDF of each chapter.

目次

• 1. Algebraic and analytic methods Ranjan Roy, Frank W. J. Olver, Richard A. Askey and Roderick S. C. Wong
• 2. Asymptotic approximations Frank W. J. Olver and Roderick S. C. Wong
• 3. Numerical methods Nico M. Temme
• 4. Elementary functions Ranjan Roy and Frank W. J. Olver
• 5. Gamma function Richard A. Askey and Ranjan Roy
• 6. Exponential, logarithmic, sine and cosine integrals Nico M. Temme
• 7. Error functions, Dawson's and Fresnel integrals Nico M. Temme
• 8. Incomplete gamma and related functions Richard B. Paris
• 9. Airy and related functions Frank W. J. Olver
• 10. Bessel functions Frank W. J. Olver and Leonard C. Maximon
• 11. Struve and related functions Richard B. Paris
• 12. Parabolic cylinder functions Nico M. Temme
• 13. Confluent hypergeometric functions Adri B. Olde Daalhuis
• 14. Legendre and related functions T. Mark Dunster
• 15. Hypergeometric function Adri B. Olde Daalhuis
• 16. Generalized hypergeometric functions and Meijer G-function Richard A. Askey and Adri B. Olde Daalhuis
• 17. q-Hypergeometric and related functions George E. Andrews
• 18. Orthogonal polynomials Tom H. Koornwinder, Roderick S. C. Wong, Roelof Koekoek and Rene F. Swarttouw
• 19. Elliptic integrals Bille C. Carlson
• 20. Theta functions William P. Reinhardt and Peter L. Walker
• 21. Multidimensional theta functions Bernard Deconinck
• 22. Jacobian elliptic functions William P. Reinhardt and Peter L. Walker
• 23. Weierstrass elliptic and modular functions William P. Reinhardt and Peter L. Walker
• 24. Bernoulli and Euler polynomials Karl Dilcher
• 25. Zeta and related functions Tom M. Apostol
• 26. Combinatorial analysis David M. Bressoud
• 27. Functions of number theory Tom M. Apostol
• 28. Mathieu functions and Hill's equation Gerhard Wolf
• 29. Lame functions Hans Volkmer
• 30. Spheroidal wave functions Hans Volkmer
• 31. Heun functions Brian D. Sleeman and Vadim Kuznetsov
• 32. Painleve transcendents Peter A. Clarkson
• 33. Coulomb functions Ian J. Thompson
• 34. 3j,6j,9j symbols Leonard C. Maximon
• 35. Functions of matrix argument Donald St. P. Richards
• 36. Integrals with coalescing saddles Michael V. Berry and Chris Howls.

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詳細情報

• NII書誌ID(NCID): BB02141252
• ISBN:
  • 9780521192255
  • 9780521140638
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge
• ページ数/冊数: xv, 951 p.
• 大きさ: 28 cm.
• 付属資料: 1 CD-ROM
• 分類:
  • DC22 : 515
• 件名:
  • LCSH : Functions