A note on polynomial expressions for sums of power of integers multiplied by exponential terms
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Publication:5742925
DOI10.3906/mat-1809-23zbMath1411.11020OpenAlexW2909527786WikidataQ115483986 ScholiaQ115483986MaRDI QIDQ5742925
Publication date: 8 May 2019
Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3906/mat-1809-23
Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)
Cites Work
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- A refinement of Faulhaber's theorem concerning sums of powers of natural numbers
- Polynomial values of (alternating) power sums
- Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
- Combinatorial interpretations of the \(q\)-Faulhaber and \(q\)-Salié coefficients
- Faulhaber's theorem on power sums
- Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
- \(k\)-ary Lyndon words and necklaces arising as rational arguments of Hurwitz-Lerch zeta function and Apostol-Bernoulli polynomials
- On the Apostol-Bernoulli polynomials
- On the coefficients of power sums of arithmetic progressions
- Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
- On the Lerch zeta function
- Complete sum of products of (h,q)-extension of Euler polynomials and numbers
- Johann Faulhaber and Sums of Powers
- Multiple Interpolation Functions of Higher Order (h,q)‐Bernoulli Numbers
- A Quick Route to Sums of Powers
- Construction of some new families of Apostol-type numbers and polynomials via Dirichlet character and p-adic q-integrals
- Sums of Powers of Integers
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