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Special Functions

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Handbook of Applied Mathematics

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Abstract

This chapter on special functions is not meant as a substitute for the handbooks devoted to this subject. Rather, it constitutes an attempt to collect some of the most frequently used formulas involving special functions and to provide a thread for the reader interested in unifying what may seem to be disconnected results.

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References

  1. Abramowitz, M., and Stegun, I. A., (editors), Handbook of Mathematical Functions, National Bureau of Standards, Wash., D.C., 1964.

    Google Scholar 

  2. Erdélyi, A., et al., Higher Transcendental Functions, 3 vols., McGraw-Hill, New York, 1953.

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  3. Whittaker, E. T., and Watson, G. N., A Course of Modern Analysis, Fourth Edition, Cambridge University Press, Cambridge, 1952.

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  4. Boas, R. P., Jr., Entire Functions, Academic Press, New York, 1954.

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  5. Muller, C., Spherical Harmonics, Springer-Verlag, New York, 1966.

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  6. Buchholz, H., The Confluent Hypergeometric Function, Springer-Verlag, New York, 1969.

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  7. -7 Slepian, D., and Pollak, H. O., “Prolate Spheroidal Wave Functions. Fourier Analysis and Uncertainty—I,” Bell System Technical Journal, 40, 43–64, 1962.

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Bibliography

  • McBride, E., Obtaining Generating Functions, Springer-Verlag, New York, 1971.

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  • Miller, W., Lie Theory and Special Functions, Academic Press, New York, 1968.

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  • Truesdell, C, C., “An Essay Toward a Unified Theory of Special Functions,” Annals of Mathematical Studies, Princeton University Press, Princeton, 1948.

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Author information

Authors and Affiliations

  1. Dep’t. of the Geophysical Sciences, University of Chicago, Chicago, Ill., USA

    Prof. Victor Barcilon

Authors
  1. Prof. Victor Barcilon
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Editor information

Editors and Affiliations

  1. University of Washington, USA

    Carl E. Pearson (Professor of Applied Mathematics) (Professor of Applied Mathematics)

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© 1990 Van Nostrand Reinhold

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Barcilon, V. (1990). Special Functions. In: Pearson, C.E. (eds) Handbook of Applied Mathematics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-1423-3_7

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  • DOI: https://doi.org/10.1007/978-1-4684-1423-3_7

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-0-442-00521-4

  • Online ISBN: 978-1-4684-1423-3

  • eBook Packages: Springer Book Archive

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