On generalized harmonic number sums
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Publication:711305
DOI10.1016/j.amc.2010.06.006zbMath1202.33001OpenAlexW1983319094MaRDI QIDQ711305
Mark W. Coffey, Nicholas Lubbers
Publication date: 25 October 2010
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2010.06.006
Gamma, beta and polygamma functions (33B15) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)
Related Items
Identities for alternating inverse squared binomial and harmonic number sums, On harmonic numbers and nonlinear Euler sums, Extension of the four Euler sums being linear with parameters and series involving the zeta functions, Extensions of some known algebraic and combinatorial identities, New families of alternating harmonic number sums, Alternating cubic Euler sums with binomial squared terms, Explicit evaluation of harmonic sums, Four parametric linear Euler sums, Quadratic alternating harmonic number sums, A family of shifted harmonic sums
Cites Work
- Integral forms of sums associated with harmonic numbers
- On some log-cosine integrals related to \(\zeta(3), \zeta(4)\), and \(\zeta(6)\).
- Some classes of infinite series associated with the Riemann zeta and polygamma functions and generalized harmonic numbers.
- On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
- Series representations for some mathematical constants
- On the rapid computation of various polylogarithmic constants
- Euler Sums and Contour Integral Representations
- New results concerning power series expansions of the Riemann xi function and the Li/Keiper constants
- On a three-dimensional symmetric Ising tetrahedron and contributions to the theory of the dilogarithm and Clausen functions
- On Serret’s integral formula
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