Quadratic symmetry of modified \(q\)-Euler polynomials

DOI10.1186/S13662-018-1493-2zbMath1423.11048OpenAlexW2797634578MaRDI QIDQ1711292

Taekyun Kim, Hyuck In Kwon, Sang-Ki Choi, JongKyum Kwon

Publication date: 17 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1493-2

zbMATH Keywords

group actionmodified \(q\)-Euler polynomials\(p\)-adic \(q\)-integral

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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• Symmetry classes of polynomials associated with the dihedral group
• \(q\)-Volkenborn integration
• Identities of symmetry for degenerate Euler polynomials and alternating generalized falling factorial sums
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• Symmetry properties of higher-order Bernoulli polynomials
• Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials
• A Symmetry of Power Sum Polynomials and Bernoulli Numbers
• Some identities of degenerate q -Euler polynomials under the symmetry group of degree n
• Complete sum of products of (h,q)-extension of Euler polynomials and numbers
• Symmetryp-adic invariant integral on ℤ_pfor Bernoulli and Euler polynomials
• Symmetry identites for generalized twisted Euler polynomials twisted by ramified roots of unity
• Some identities of symmetry for the generalized q-Euler polynomials
• q-Bernoulli and Eulerian Numbers
• Number Theory

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