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New Construction Weighted<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>h</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>-Genocchi Numbers and Polynomials Related to Zeta Type Functions

New Construction Weighted<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mi>h</mml:mi><mml:mo>,</mml:mo><mml:mi>q</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>-Genocchi Numbers and Polynomials Related to Zeta Type Functions

The fundamental aim of this paper is to construct ( h , q )‐Genocchi numbers and polynomials with weight α . We shall obtain some interesting relations by using p ‐adic q ‐integral on ℤ p in the sense of fermionic. Also, we shall derive the ( h , q …