LUOQiu-ming, Qifeng
Abstract
The purpose of this paper is to define the generalized Euler numbers and the generalized Euler numbers of higher order, their recursion formula and some properties were established, accordingly Euler numbers and Euler numbers of higher order were extended.
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The purpose of this paper is to define the generalized Euler numbers and the generalized Euler numbers of higher order, their recursion formula and some properties were established, accordingly Euler numbers and Euler numbers of higher order were extended.
Key concepts: Semi-implicit Euler method, Euler number (physics), Euler's formula, Mathematics, Proof of the Euler product formula for the Riemann zeta function, Euler summation, Order (exchange), Backward Euler method