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A Faster and More Accurate Algorithm for Calculating Population Genetics Statistics Requiring Sums of Stirling Numbers of the First Kind

G3 : genes - genomes - genetics, 2020-11, Vol.10 (11), p.3959-3967

2020

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The Asymptotic and Numerical Inversion of the Marcum Q-Function

Studies in applied mathematics (Cambridge), 2014-08, Vol.133 (2), p.257-278

2014

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Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters

Integral transforms and special functions, 2022-01, Vol.33 (1), p.16-31

Temme, Nico M.

2022

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New asymptotic representations of the noncentral t ‐distribution

Studies in applied mathematics (Cambridge), 2023-10, Vol.151 (3), p.857-882

2023

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Fast and reliable high-accuracy computation of Gauss–Jacobi quadrature

Numerical algorithms, 2021-08, Vol.87 (4), p.1391-1419

2021

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Fast, reliable and unrestricted iterative computation of Gauss–Hermite and Gauss–Laguerre quadratures

Numerische Mathematik, 2019-11, Vol.143 (3), p.649-682

2019

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A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation

Mathematics of computation, 2022-03, Vol.91 (334), p.871-885

2022

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Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments

Numerical algorithms, 2023-10, Vol.94 (2), p.669-679

2023

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Asymptotic Approximations to the Nodes and Weights of Gauss–Hermite and Gauss–Laguerre Quadratures

Studies in applied mathematics (Cambridge), 2018-04, Vol.140 (3), p.298-332

2018

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Evaluation of integrals with fractional Brownian motion for different Hurst indices

International journal of computer mathematics, 2023-04, Vol.100 (4), p.847-866

2023

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Large parameter cases of the Gauss hypergeometric function

Journal of computational and applied mathematics, 2003-04, Vol.153 (1-2), p.441-462

Temme, Nico M

2003

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Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios

SIAM journal on scientific computing, 2012-01, Vol.34 (6), p.A2965-A2981

2012

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Algorithm 939: Computation of the Marcum Q-Function

ACM transactions on mathematical software, 2014-04, Vol.40 (3), p.1-21

2014

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Numerically satisfactory solutions of hypergeometric recursions

Mathematics of computation, 2007-07, Vol.76 (259), p.1449-1468

2007

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Asymptotic Expansions of Jacobi Polynomials for Large Values of β and of Their Zeros

Symmetry, integrability and geometry, methods and applications, 2018-07, Vol.14

2018

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Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument

ACM transactions on mathematical software, 2017-01, Vol.43 (3), p.1-9

2017

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Numerical aspects of special functions

Acta numerica, 2007-05, Vol.16, p.379-478

Temme, Nico M.

2007

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Identifying minimal and dominant solutions for Kummer recursions

Mathematics of computation, 2008-10, Vol.77 (264), p.2277-2293

2008

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An improved algorithm and a Fortran 90 module for computing the conical function P − 1 / 2 + i τ m ( x )

Computer physics communications, 2012-03, Vol.183 (3), p.794-799

2012

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Special Functions: An Introduction to the Classical Functions of Mathematical Physics

Temme, Nico M

1, 1996

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New series expansions of the Gauss hypergeometric function

Advances in computational mathematics, 2013-08, Vol.39 (2), p.349-365

2013

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Analytical and numerical aspects of a generalization of the complementary error function

Applied mathematics and computation, 2010-08, Vol.216 (12), p.3680-3693

2010

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Large degree asymptotics of generalized Bernoulli and Euler polynomials

Journal of mathematical analysis and applications, 2010-03, Vol.363 (1), p.197-208

2010

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Computation of the modified Bessel function of the third kind of imaginary orders: uniform Airy-type asymptotic expansion

Journal of computational and applied mathematics, 2003-04, Vol.153 (1-2), p.225-234

2003

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Multi-point Taylor expansions of analytic functions

Transactions of the American Mathematical Society, 2004-11, Vol.356 (11), p.4323-4342

2004

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A Faster and More Accurate Algorithm for Calculating Population Genetics Statistics Requiring Sums of Stirling Numbers of the First Kind

The Asymptotic and Numerical Inversion of the Marcum Q-Function

Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters

New asymptotic representations of the noncentral t ‐distribution

Fast and reliable high-accuracy computation of Gauss–Jacobi quadrature

Fast, reliable and unrestricted iterative computation of Gauss–Hermite and Gauss–Laguerre quadratures

A distribution function from population genetics statistics using Stirling numbers of the first kind: Asymptotics, inversion and numerical evaluation

Computation of the confluent hypergeometric function U(a,b,x) and its derivative for positive arguments

Asymptotic Approximations to the Nodes and Weights of Gauss–Hermite and Gauss–Laguerre Quadratures

Evaluation of integrals with fractional Brownian motion for different Hurst indices

Large parameter cases of the Gauss hypergeometric function

Efficient and Accurate Algorithms for the Computation and Inversion of the Incomplete Gamma Function Ratios

Algorithm 939: Computation of the Marcum Q-Function

Numerically satisfactory solutions of hypergeometric recursions

Asymptotic Expansions of Jacobi Polynomials for Large Values of β and of Their Zeros

Algorithm 969: Computation of the Incomplete Gamma Function for Negative Values of the Argument

Numerical aspects of special functions

Identifying minimal and dominant solutions for Kummer recursions

An improved algorithm and a Fortran 90 module for computing the conical function P − 1 / 2 + i τ m ( x )

Special Functions: An Introduction to the Classical Functions of Mathematical Physics

New series expansions of the Gauss hypergeometric function

Analytical and numerical aspects of a generalization of the complementary error function

Large degree asymptotics of generalized Bernoulli and Euler polynomials

Computation of the modified Bessel function of the third kind of imaginary orders: uniform Airy-type asymptotic expansion

Multi-point Taylor expansions of analytic functions

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