Special Functions

Steven G. Krantz
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Steven G. Krantz: Washington University in St. Louis, Department of Mathematics

Chapter Chapter 13 in Handbook of Complex Variables, 1999, pp 155-162 from Springer

Abstract: Abstract While the spirit of modern analysis is to study classes or types of functions, there are some particular functions that arise so frequently that they have intrinsic interest. These functions are usually termed special functions. In this chapter we shall treat three of these which arise naturally in complex analysis: the gamma function of Euler, the beta function of Legendre, and the ζ(or zeta) function of Riemann.

Keywords: Analytic Continuation; Meromorphic Function; Zeta Function; Gamma Function; Beta Function (search for similar items in EconPapers)
Date: 1999
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DOI: 10.1007/978-1-4612-1588-2_13

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