Fast evaluation of the hypergeometric function \(_pF_{p-1}\)(a;b;z) at the singular point \(z = 1\) by means of the Hurwitz zeta function \(\xi(\alpha,s)\).
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Publication:2433012
DOI10.1134/S0361768806030054zbMath1102.33014MaRDI QIDQ2433012
S. L. Skorokhodov, A. I. Bogolyubskii
Publication date: 26 October 2006
Published in: Programming and Computer Software (Search for Journal in Brave)
Related Items
NumExp: numerical epsilon expansion of hypergeometric functions, Acceleration of generalized hypergeometric functions through precise remainder asymptotics, Computing Hypergeometric Functions Rigorously, Rigorous high-precision computation of the Hurwitz zeta function and its derivatives
Cites Work
- Computational strategies for the Riemann zeta function
- The special functions and their approximations. Vol. I, II
- Fast multiplication of large numbers
- Fast Algorithms for Multiple Evaluations of the Riemann Zeta Function
- Partial sums of hypergeometric series of unit argument
- Loop integrals in three outstanding gauges: Feynman, light-cone, and Coulomb
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