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Generalizations of Euler Numbers and Euler Numbers of Higher Order

Feng Xiao Qi

Open publisher page 3 citations

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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What this paper is about

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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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Euler number (physics), Mathematics, Euler's formula, Semi-implicit Euler method, Proof of the Euler product formula for the Riemann zeta function, Euler summation, Order (exchange), Recursion (computer science)

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