Formulas involving sums of powers, special numbers and polynomials arising from p-adic integrals, trigonometric and generating functions
DOI10.2298/PIM2022103KzbMath1476.11043OpenAlexW3107713891MaRDI QIDQ4985681
Publication date: 24 April 2021
Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2298/pim2022103k
generating functionstangent numberstrigonometric functionsBernoulli numbersRiemann integralEuler numbersBernoulli polynomialsEuler polynomialsFubini numbers\(p\)-adic integrals
Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80) Exponential and trigonometric functions (33B10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Symbolic computation of some power-trigonometric series
- Derivatives of tangent function and tangent numbers
- A unified presentation of three families of generalized Apostol type polynomials based upon the theory of the umbral calculus and the umbral algebra
- Binomial determinants, paths, and hook length formulae
- On a \(q\)-analogue of the \(p\)-adic log gamma functions and related integrals
- \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
- Some \(p\)-adic integrals on \(\mathbb{Z}_p\) associated with trigonometric functions
- An extension of the Euler-Maclaurin quadrature formula using a parametric type of Bernoulli polynomials
- Johann Faulhaber and Sums of Powers
- A Quick Route to Sums of Powers
- Central factorial numbers; their main properties and some applications.
- Some Formulas for the BERNOULLI and EULER Polynomials
- A NEW FAMILY OF FUBINI TYPE NUMBERS AND POLYNOMIALS ASSOCIATED WITH APOSTOL-BERNOULLI NUMBERS AND POLYNOMIALS