Symbolic and numeric computations of the Barnes function

DOI10.1016/S0010-4655(03)00498-3zbMath1196.65042OpenAlexW1985092776MaRDI QIDQ709455

Victor S. Adamchik

Publication date: 18 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0010-4655(03)00498-3

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)

Related Items (8)

Non-perturbative quantum geometry. II ⋮ Diffusion limited aggregation on the Boolean lattice ⋮ Integral and series representations of Riemann's zeta function and Dirichlet's eta function and a medley of related results ⋮ On the Hurwitz function for rational arguments ⋮ More asymptotic expansions for the Barnes \(G\)-function ⋮ Integrals associated with the multiple gamma function ⋮ Exact asymptotics of the characteristic polynomial of the symmetric Pascal matrix ⋮ New approximations for the higher order coefficients in an asymptotic expansion for the Barnes \(G\)-function

Cites Work

• Certain classes of series involving the zeta function
• Polygamma functions of negative order
• A characterization of the Bell numbers
• Zeta regularized products and functional determinants on spheres
• Multiple gamma and related functions
• On the Barnes function
• Determinants of Laplacians and Multiple Gamma Functions
• Computation of the Gamma, Digamma, and Trigamma Functions
• The determinant of the Laplacian on the n-sphere
• Some series involving the zeta function
• Random matrix theory and \(\zeta(1/2+it)\).
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