Identities for the shifted harmonic numbers and binomial coeffecients
DOI10.2298/FIL1719071XzbMath1499.05026arXiv1701.03727WikidataQ130014314 ScholiaQ130014314MaRDI QIDQ5022800
Publication date: 19 January 2022
Published in: Filomat (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.03727
summation formulasintegral representationsbinomial coefficientsharmonic numberspolylogarithm functioncombinatorial series identities
Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Special sequences and polynomials (11B83) Elliptic functions and integrals (33E05)
Related Items (5)
Cites Work
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- Euler sums and integrals of polylogarithm functions
- Quadratic and cubic harmonic number sums
- Some summation formulas involving harmonic numbers and generalized harmonic numbers
- Nonlinear Euler sums
- Tornheim type series and nonlinear Euler sums
- Multiple zeta values and Euler sums
- Identities for the harmonic numbers and binomial coefficients
- The evaluation of character Euler double sums
- A note on harmonic numbers, umbral calculus and generating functions
- Integral forms of sums associated with harmonic numbers
- Triple sums and the Riemann zeta function
- Evaluation of triple Euler sums
- Some combinatorial series identities associated with the digamma function and harmonic numbers
- Some results on Euler sums
- Some classes of infinite series associated with the Riemann zeta and polygamma functions and generalized harmonic numbers.
- Quadratic alternating harmonic number sums
- A family of shifted harmonic sums
- Making sense of experimental mathematics
- The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\)
- Explicit evaluation of quadratic Euler sums
- Finite Mixed Sums wih Harmonic Terms
- Euler Sums and Contour Integral Representations
- Experimental Evaluation of Euler Sums
- Special values of multiple polylogarithms
- Integrals of polylogarithmic functions, recurrence relations, and associated Euler sums
- Explicit evaluation of Euler sums
- SHIFTED HARMONIC SUMS OF ORDER TWO
- Values of the polygamma functions at rational arguments
- Some evaluation of harmonic number sums
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