Some results for Apostol-type polynomials associated with umbral algebra
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Publication:681118
DOI10.1186/1687-1847-2013-201zbMath1379.05017OpenAlexW2163108309WikidataQ59299658 ScholiaQ59299658MaRDI QIDQ681118
Qiu-Ming Luo, Chang-He Xiang, Da-Qian Lu
Publication date: 30 January 2018
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1847-2013-201
Umbral calculus (05A40) Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Factorials, binomial coefficients, combinatorial functions (05A10) Bernoulli and Euler numbers and polynomials (11B68)
Related Items (4)
Barnes-type Narumi polynomials ⋮ About extensions of generalized Apostol-type polynomials ⋮ A new class of Laguerre-based generalized Apostol polynomials ⋮ Certain results for the 2-variable Apostol type and related polynomials
Cites Work
- Some generalized Lagrange-based Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi poly\-nomials
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
- A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
- \(q\)-extensions of some relationships between the Bernoulli and Euler polynomials
- Genocchi polynomials associated with the umbral algebra
- Unified Apostol-Bernoulli, Euler and Genocchi polynomials
- Extensions of the Genocchi polynomials and their Fourier expansions and integral representations
- A note on \(q\)-Euler and Genocchi numbers
- A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
- Representations of monomiality principle with Sheffer-type polynomials and boson normal ordering
- On the distribution of the \(q\)-Euler polynomials and the \(q\)-Genocchi polynomials of higher order
- Some results for the \(q\)-Bernoulli and \(q\)-Euler polynomials
- Some series identities involving the generalized Apostol type and related polynomials
- Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
- Some relationships between the Apostol-Bernoulli and Apostol-Euler polynomials
- Sheffer polynomials, monomiality principle, algebraic methods and the theory of classical polynomials
- On the Lerch zeta function
- Fourier expansions and integral representations for the Apostol-Bernoulli and Apostol-Euler polynomials
- Some families of Genocchi type polynomials and their interpolation functions
- The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
- Some formulas for Apostol-Euler polynomials associated with Hurwitz zeta function at rational arguments
- Some formulas for the Bernoulli and Euler polynomials at rational arguments
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