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On the modified q-Euler polynomials with weight

On the modified q-Euler polynomials with weight

Abstract In this paper, we construct a new q -extension of Euler numbers and polynomials with weight related to fermionic p -adic q -integral on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>Z</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> and give new explicit formulas related to these numbers and polynomials.