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Book 1999the Gauss hypergeometric function arises in all fields of mathematics, e.g., in number theory, in the theory of groups and in analysis itself. It is not too much to say that all power series are special or extended cases of the hypergeometric series. For the full use of its properties, one needs connection formulas or contiguous relations.一再困扰 发表于 2025-3-22 01:17:11
978-94-010-5946-6Springer Science+Business Media Dordrecht 1999Osteoarthritis 发表于 2025-3-22 06:50:12
How to Talk About Spiritual EncountersIn this chapter, we shall introduce some aspects of a global study of linear differential equations in the complex domain, which will be extensively expanded in later chapters.RADE 发表于 2025-3-22 10:50:46
How to Win Customers in the Digital WorldIn this chapter, we shall prove the extension of Gauss formula for hypergeometric systems under a general condition and show how to compute monodromy groups.供过于求 发表于 2025-3-22 16:24:00
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Connection Problem for Hypergeometric Systems,For Fuchsian differential equations, monodromy groups and connection formulas between solutions are two most important objects of study. In this Chapter we shall investigate the connection problem for hypergeometric systems by means of Barnes integrals.