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Eulerian Functions

Daniel Duverney

Chapter Chapter 1 in An Introduction to Hypergeometric Functions, 2024, pp 1-24 from Springer

Abstract: Abstract Eulerian functions (gamma and beta functions) play a fundamental role in the theory of hypergeometric functions. In Sect. 1.1, we define the gamma function and Pochhammer’s symbol. In Sect. 1.2, we define the beta function and give its expression by means of the gamma function. Section 1.3 is devoted to a deeper study of the gamma function.

Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-65144-1_1

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DOI: 10.1007/978-3-031-65144-1_1

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