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A Note on Some Identities of Frobenius-Euler Numbers and Polynomials

A Note on Some Identities of Frobenius-Euler Numbers and Polynomials

The purpose of this paper is to give some identities on the Frobenius-Euler numbers and polynomials by using the fermionic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>p</mml:mi></mml:math>-adic<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>q</mml:mi></mml:math>-integral equation on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>ℤ</mml:mi><mml:mi>p</mml:mi></mml:msub></mml:mrow></mml:math>.