The binomial transform of p-recursive sequences and the dilogarithm function

zbMath1481.33005arXiv1910.06928MaRDI QIDQ5141671

Stephanie L. Harshbarger, Barton L. Willis

Publication date: 18 December 2020

Full work available at URL: https://arxiv.org/abs/1910.06928

zbMATH Keywords

dilogarithmspecial functionsanalytic continuationbinomial transform

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Higher logarithm functions (33B30)

Uses Software

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• mctoolbox
• DLMF

Cites Work

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• Computer algebra in quantum field theory. Integration, summation and special functions
• The concrete tetrahedron. Symbolic sums, recurrence equations, generating functions, asymptotic estimates
• Binomial transform of products
• Binomial transform and the backward difference
• Notes on the Binomial Transform
• Accuracy and Stability of Numerical Algorithms
• Generating Function Transformations Related to Polylogarithm Functions and the $k$-Order Harmonic Numbers
• Generalized Binomial Transform Applied to the Divergent Series
• Analytic continuation of the₃F₂hypergeometric series

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