A generalization of power and alternating power sums to any Appell polynomials
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Publication:5005322
DOI10.2298/FIL1701141KzbMath1488.05036OpenAlexW1862010897MaRDI QIDQ5005322
Publication date: 9 August 2021
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/fil1701141k
power sumAppell polynomialalternating power sumBarnes' multiple Bernoulli and Appell mixed-type polynomialBarnes' multiple Euler and Appell mixed-type polynomial
Umbral calculus (05A40) Bernoulli and Euler numbers and polynomials (11B68) Other combinatorial number theory (11B75) Special sequences and polynomials (11B83)
Related Items (1)
Cites Work
- Barnes' multiple Bernoulli and generalized Barnes' multiple Frobenius-Euler mixed-type polynomials
- A refinement of Faulhaber's theorem concerning sums of powers of natural numbers
- On Euler-Barnes multiple zeta functions
- Higher-order Frobenius-Euler and poly-Bernoulli mixed-type polynomials
- Barnes' multiple Frobenius-Euler and poly-Bernoulli mixed-type polynomials
- Addition theorems for the Appell polynomials and the associated classes of polynomial expansions
- Explicit formulas for computing Bernoulli numbers of the second kind and Stirling numbers of the first kind
- Q-extensions of some results involving the Luo-Srivastava generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- A note on the Frobenius-Euler numbers and polynomials associated with Bernstein polynomials
- Higher-order Bernoulli and poly-Bernoulli mixed type polynomials
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