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Integral Representations of Special Functions

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Hypergeometric Functions and Their Applications

Part of the book series: Texts in Applied Mathematics ((TAM,volume 8))

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Abstract

It is often convenient to identify the various special functions with contour integrals along certain paths in the complex plane. These integrals provide recursion formulas, asymptotic forms, and analytic continuations of the special functions. Also, they are sometimes used as definitions of special functions.1

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© 1991 Springer Science+Business Media New York

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Seaborn, J.B. (1991). Integral Representations of Special Functions. In: Hypergeometric Functions and Their Applications. Texts in Applied Mathematics, vol 8. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5443-8_10

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  • DOI: https://doi.org/10.1007/978-1-4757-5443-8_10

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3097-2

  • Online ISBN: 978-1-4757-5443-8

  • eBook Packages: Springer Book Archive

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