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On the Barnes' type related to multiple Genocchi polynomials on \(\mathbb Z_p\) - MaRDI portal

On the Barnes' type related to multiple Genocchi polynomials on \(\mathbb Z_p\) (Q1925410)

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scientific article; zbMATH DE number 6116433
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On the Barnes' type related to multiple Genocchi polynomials on \(\mathbb Z_p\)
scientific article; zbMATH DE number 6116433

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    On the Barnes' type related to multiple Genocchi polynomials on \(\mathbb Z_p\) (English)
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    18 December 2012
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    Summary: Using a fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\), we construct the Barnes' type multiple Genocchi numbers and polynomials. From those numbers and polynomials, we derive the twisted Barnes' type multiple Genocchi numbers and polynomials. Moreover, we find the Barnes' type multiple Genocchi zeta function.
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