Generalized \((q, w)\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) (Q1925566)
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scientific article; zbMATH DE number 6116550
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Generalized \((q, w)\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) |
scientific article; zbMATH DE number 6116550 |
Statements
Generalized \((q, w)\)-Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_p\) (English)
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18 December 2012
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Summary: We generalize the Euler numbers and polynomials by the generalized \((q, w)\)-Euler numbers \(E_{n,q,w}(a)\) and polynomials \(E_{n,q,w}(x : a)\). We observe an interesting phenomenon of ``scattering'' of the zeros of the generalized \((q, w)\)-Euler polynomials \(E_{n,q,w}(x : a)\) in the complex plane.
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