2002Journal of Yueyang Normal UniversityRequires access

The Generalization of Euler's Integral and Euler's Series

Hong Mei

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Abstract

Euler's integral and Euler'series are generalized by means of the methods and the techniques of mathematical analysis.We improved many known conclusions about some typical integrals and series,obtained a lot of new results and investigated the relationships among them.

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Euler's integral and Euler'series are generalized by means of the methods and the techniques of mathematical analysis.We improved many known conclusions about some typical integrals and series,obtained a lot of new results and investigated the relationships among them.

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Available abstract

Euler's integral and Euler'series are generalized by means of the methods and the techniques of mathematical analysis.We improved many known conclusions about some typical integrals and series,obtained a lot of new results and investigated the relationships among them.

Key concepts: Euler's formula, Series (stratigraphy), Generalization, Euler summation, Semi-implicit Euler method, Euler method, Mathematics, Applied mathematics

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