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Computing Hypergeometric Functions Rigorously
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
inferredcites →https://doi.org/10.1006/jagm.1997.0881openalex-snapshot
Computing the Principal Branch of log-Gamma
inferredcites →https://doi.org/10.1006/jcph.1997.5794openalex-snapshot
Computing the Hypergeometric Function
inferredcites →https://doi.org/10.1006/jsco.2000.0474openalex-snapshot
Fast Evaluation of Holonomic Functions Near and in Regular Singularities
inferredcites →https://doi.org/10.1007/978-1-4614-7621-4_8openalex-snapshot
Fast Computation of Bernoulli, Tangent and Secant Numbers
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Approximations and complex multiplication according to Ramanujan
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Approximations and complex multiplication according to Ramanujan
inferredcites →https://doi.org/10.1007/bf01396306openalex-snapshot
The numerical computation of the confluent hypergeometric functionU(a, b, z)
inferredcites →https://doi.org/10.1007/bfb0054873openalex-snapshot
Fast multiprecision evaluation of series of rational numbers
inferredcites →https://doi.org/10.1007/s002110100285openalex-snapshot
Computing the confluent hypergeometric function, M ( a,b,x )
inferredcites →https://doi.org/10.1007/s11075-011-9499-9openalex-snapshot
Acceleration of generalized hypergeometric functions through precise remainder asymptotics
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Rigorous high-precision computation of the Hurwitz zeta function and its derivatives
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Motivations for an Arbitrary Precision Interval Arithmetic and the MPFI Library
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Reduced complexity evaluation of hypergeometric functions
inferredcites →https://doi.org/10.1016/0196-6774(92)90048-hopenalex-snapshot
Faster computation of Bernoulli numbers
inferredcites →https://doi.org/10.1016/0377-0427(92)90129-lopenalex-snapshot
Numerical evaluation of the confluent hypergeometric function for complex arguments of large magnitudes
inferredcites →https://doi.org/10.1016/j.cpc.2007.11.007openalex-snapshot
Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl–Teller–Ginocchio potential wave functions
inferredcites →https://doi.org/10.1016/j.cpc.2011.11.010openalex-snapshot
Numerical calculation of Bessel, Hankel and Airy functions
inferredcites →https://doi.org/10.1016/j.jlap.2004.07.007openalex-snapshot
Precise numerical computation
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Efficient accelero-summation of holonomic functions
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Effective bounds for P-recursive sequences
inferredcites →https://doi.org/10.1016/s0304-3975(98)00102-9openalex-snapshot
Fast evaluation of holonomic functions
inferredcites →https://doi.org/10.1016/s0377-0427(00)00267-3openalex-snapshot
The analytic continuation of the Gaussian hypergeometric function 2F1(a,b;c;z) for arbitrary parameters
inferredcites →https://doi.org/10.1016/s0377-0427(00)00336-8openalex-snapshot
Computational strategies for the Riemann zeta function
inferredcites →https://doi.org/10.1016/s1571-0661(04)80378-5openalex-snapshot
Hypergeometric Functions in Exact Geometric Computation
inferredcites →https://doi.org/10.1017/9781139049801.011openalex-snapshot
Fast multiplication and its applications
inferredcites →https://doi.org/10.1088/0305-4470/39/40/001openalex-snapshot
Integrals of the Ising class
inferredcites →https://doi.org/10.1090/s0025-5718-1989-0971406-0openalex-snapshot
Efficient Multiple-Precision Evaluation of Elementary Functions
inferredcites →https://doi.org/10.1090/s0025-5718-2015-02931-7openalex-snapshot
A bound for the error term in the Brent-McMillan algorithm
inferredcites →https://doi.org/10.1093/imanum/12.4.519openalex-snapshot
Fast evaluation of the gamma function for small rational fractions using complete elliptic integrals of the first kind
inferredcites →https://doi.org/10.1109/arith.2013.33openalex-snapshot
Multiple-Precision Evaluation of the Airy Ai Function with Reduced Cancellation
inferredcites →https://doi.org/10.1109/arith.2015.16openalex-snapshot
Efficient Implementation of Elementary Functions in the Medium-Precision Range
inferredcites →https://doi.org/10.1109/map.2013.6529388openalex-snapshot
Electromagnetic Problems Requiring High-Precision Computations
inferredcites →https://doi.org/10.1109/tc.2017.2690633openalex-snapshot
Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
inferredcites →https://doi.org/10.1134/s0361768806030054openalex-snapshot
Fast evaluation of the hypergeometric function p F p−1(a; b; z) at the singular point z = 1 by means of the Hurwitz zeta function ζ(α, s)
inferredcites →https://doi.org/10.1137/050646342openalex-snapshot
Computing the Gamma Function Using Contour Integrals and Rational Approximations
inferredcites →https://doi.org/10.1137/0701008openalex-snapshot
A Precision Approximation of the Gamma Function
inferredcites →https://doi.org/10.1137/0731050openalex-snapshot
Computation of the Gamma, Digamma, and Trigamma Functions
inferredcites →https://doi.org/10.1137/1.9780898717822openalex-snapshot
Numerical Methods for Special Functions
inferredcites →https://doi.org/10.1137/s0097539704443793openalex-snapshot
Linear Recurrences with Polynomial Coefficients and Application to Integer Factorization and Cartier–Manin Operator
inferredcites →https://doi.org/10.1145/2049673.2049675openalex-snapshot
Validated computation of certain hypergeometric functions
inferredcites →https://doi.org/10.1145/2608628.2608629openalex-snapshot
Evaluating parametric holonomic sequences using rectangular splitting
inferredcites →https://doi.org/10.1155/imrn/2006/71281openalex-snapshot
Effective computation of Maass cusp forms
inferredcites →https://doi.org/10.1201/9781003072157-5openalex-snapshot
Computer Algebra in the Service of Mathematical Physics and Number Theory
inferredcites →https://doi.org/10.3390/math3020337openalex-snapshot
High-Precision Arithmetic in Mathematical Physics
inferredcites →https://doi.org/10.48550/arxiv.1004.3608openalex-snapshot
The complexity of multiple-precision arithmetic
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Fast and stable rational approximation of generalized hypergeometric functions
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