Identities of symmetry for degenerate Euler polynomials and alternating generalized falling factorial sums

DOI10.1007/s40995-017-0326-6zbMath1391.11053OpenAlexW2765774709MaRDI QIDQ724904

Dae San Kim, Taekyun Kim

Publication date: 26 July 2018

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40995-017-0326-6

zbMATH Keywords

identities of symmetryalternating generalized falling factorial sumdegenerate Euler polynomialfermionic \(p\)-adic integral

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Special sequences and polynomials (11B83)

Related Items (13)

Quadratic symmetry of modified \(q\)-Euler polynomials ⋮ On degenerate Daehee polynomials and numbers of the third kind ⋮ On symmetric identities of Carlitz's type \(q\)-Daehee polynomials ⋮ A note on degenerate Bernstein polynomials ⋮ A note on degenerate Genocchi and poly-Genocchi numbers and polynomials ⋮ Some identities of type \(2 q\)-Bernoulli polynomials ⋮ Degenerate Bell polynomials associated with umbral calculus ⋮ Jindalrae and Gaenari numbers and polynomials in connection with Jindalrae-Stirling numbers ⋮ \(p\)-adic integral on \(\mathbb{Z}_p\) associated with degenerate Bernoulli polynomials of the second kind ⋮ Symmetric identities for Fubini polynomials ⋮ Symmetric properties of Carlitz's type \(q\)-Changhee polynomials ⋮ Symmetry identities of Changhee polynomials of type two ⋮ Some results on degenerate Daehee and Bernoulli numbers and polynomials

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic \(p\)-adic invariant \(q\)-integrals on \({\mathbf Z}_p\)
• Sums of products of the degenerate Euler numbers
• Multivariate interpolation functions of higher-order \(q\)-Euler numbers and their applications
• Remarks on sum of products of \((h,q)\)-twisted Euler polynomials and numbers
• A new extension of \(q\)-Euler numbers and polynomials related to their interpolation functions
• Symmetry of power sum polynomials and multivariate fermionic \(p\)-adic invariant integral on \(\mathbb Z_p\)
• Applications of a recurrence for the Bernoulli numbers
• Three variable symmetric identities involving Carlitz-type \(q\)-Euler polynomials
• Identities of symmetry for higher-order Euler polynomials in three variables. II.
• An identity of symmetry for the Bernoulli polynomials
• A Symmetry of Power Sum Polynomials and Bernoulli Numbers
• Complete sum of products of (h,q)-extension of Euler polynomials and numbers
• Some identities of q-Bernoulli polynomials under symmetry group S3
• Symmetric identities of higher-order degenerate q-Euler polynomials
• Symmetryp-adic invariant integral on ℤ_pfor Bernoulli and Euler polynomials
• Stirling's Series and Bernoulli Numbers

This page was built for publication: Identities of symmetry for degenerate Euler polynomials and alternating generalized falling factorial sums