Discovering and Proving Infinite Pochhammer Sum Identities
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Publication:5070658
DOI10.1080/10586458.2019.1627254zbMath1486.05024arXiv1902.11001OpenAlexW2963156899WikidataQ127569795 ScholiaQ127569795MaRDI QIDQ5070658
Publication date: 14 April 2022
Published in: Experimental Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.11001
Symbolic computation and algebraic computation (68W30) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Multiple Dirichlet series and zeta functions and multizeta values (11M32)
Related Items (10)
From Madhava–Leibniz to Lehmer’s Limit ⋮ Beam functions for \(N\)-jettiness at \(\mathrm{N^3LO}\) in perturbative QCD ⋮ Hypergeometric structures in Feynman integrals ⋮ Higgs boson contribution to the leading two-loop Yukawa corrections to \(gg \rightarrow HH\) ⋮ Sun's series via cyclotomic multiple zeta values ⋮ The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\) ⋮ The inverse Mellin transform via analytic continuation ⋮ A WZ proof for a Ramanujan-like series involving cubed binomial coefficients ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals
Uses Software
Cites Work
- Unnamed Item
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- Computer algebra in quantum field theory. Integration, summation and special functions
- The multiple zeta value data mine
- The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
- On the series \(\sum ^{\infty}_{k=1}\binom{2k}{k}^{-1}k^{-n}\) and related sums
- Massive Feynman diagrams and inverse binomial sums
- An algorithm for solving second order linear homogeneous differential equations
- Hypergeometric solutions of linear recurrences with polynomial coefficients
- Solving difference equations in finite terms
- Summing one- and two-dimensional series related to the Euler series
- \(\overline{MS}\) vs. pole masses of gauge bosons. II: Two-loop electroweak fermion corrections
- Applications of integer relation algorithms
- Central Binomial Sums, Multiple Clausen Values, and Zeta Values
- Harmonic sums and polylogarithms generated by cyclotomic polynomials
- Iterated binomial sums and their associated iterated integrals
- Discovering and Proving Infinite Binomial Sums Identities
- Interesting Series Involving the Central Binomial Coefficient
- HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
- HARMONIC POLYLOGARITHMS
- Gauss's theorem and harmonic number summation formulae with certain mathematical constants
- Expansion around half-integer values, binomial sums, and inverse binomial sums
- Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
- Linear forms in the logarithms of algebraic numbers
- Single-scale diagrams and multiple binomial sums
- Analytic continuation of Mellin transforms up to two-loop order
- New results for the \(\varepsilon{}\)-expansion of certain one-, two- and three-loop Feynman diagrams
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