Hypergeometric Functions

Daniel Duverney

Chapter Chapter 3 in An Introduction to Hypergeometric Functions, 2024, pp 69-104 from Springer

Abstract: Abstract In this chapter, we define the general hypergeometric functions r F s $${ }_{r}F_{s}$$ and present their properties (differential equation, recurrence relations, integral representations, summation formulas, etc.). We give also examples of special cases, including the most part of usual elementary functions, as well as useful new functions, which will be studied in detail in the following chapters.

Date: 2024
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DOI: 10.1007/978-3-031-65144-1_3

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