Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums
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Publication:2360523
DOI10.1186/1687-1847-2013-32zbMath1371.11056OpenAlexW2131450127WikidataQ59294248 ScholiaQ59294248MaRDI QIDQ2360523
Publication date: 4 July 2017
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2013-32
Bernoulli polynomialspower sumsApostol-Bernoulli polynomialsEuler polynomialsApostol-Euler polynomialsalternating sumssymmetry relation
Related Items (5)
On Generalized Lagrange-Based Apostol-type and Related Polynomials ⋮ Symmetric identities for Carlitz's q-Bernoulli numbers and polynomials ⋮ Identities of symmetry for higher-order generalized \(q\)-Euler polynomials ⋮ Identities and relations involving the modified degenerate Hermite-based Apostol-Bernoulli and Apostol-Euler polynomials ⋮ A new class of Hermite-Apostol type Frobenius-Euler polynomials and its applications
Cites Work
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- A new generalization of the Bernoulli and related polynomials
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- Some formulae of products of the Apostol-Bernoulli and Apostol-Euler polynomials
- Some identities on Bernoulli and Euler numbers
- On the analogs of Euler numbers and polynomials associated with \(p\)-adic \(q\)-integral on \(\mathbb Z_{p}\) at \(q= - 1\)
- Some results on the Apostol-Bernoulli and Apostol-Euler polynomials
- On the symmetries of the \(q\)-Bernoulli polynomials
- Some identities on the Bernoulli, Euler and Genocchi polynomials via power sums and alternate power sums
- A note on symmetric properties of the twisted \(q\)-Bernoulli polynomials and the twisted generalized \(q\)-Bernoulli polynomials
- Some results for the Apostol-Genocchi polynomials of higher order
- Several identities for the generalized Apostol-Bernoulli polynomials
- Some series identities involving the generalized Apostol type and related polynomials
- An identity of symmetry for the Bernoulli polynomials
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- Complete sum of products of (h,q)-extension of Euler polynomials and numbers
- Some relationships between the generalized Apostol–Bernoulli polynomials and Hurwitz–Lerch Zeta functions
- Symmetryp-adic invariant integral on ℤpfor Bernoulli and Euler polynomials
- Some results on power sums and Apostol-type polynomials
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- A generalization of the Hurwitz - Lerch Zeta function
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