Fast and stable rational approximation of generalized hypergeometric functions

Cites Work

Numerical methods for the computation of the confluent and Gauss hypergeometric functions
Extensions of Drummond's process for convergence acceleration
A recursive algorithm for the $G$ transformation and accurate computation of incomplete Bessel functions
Acceleration of generalized hypergeometric functions through precise remainder asymptotics
Fast computation of the Gauss hypergeometric function with all its parameters complex with application to the Pöschl-Teller-Ginocchio potential wave functions
Pólya frequency sequences and real zeros of some $_3F_2$ polynomials
Totally positive kernels, Pólya frequency functions, and generalized hypergeometric series
Numerical treatment of a twisted tail using extrapolation methods
A new method for deriving Padé approximants for some hypergeometric functions
Two new classes of nonlinear transformations for accelerating the convergence of infinite integrals and series
On the zeros and poles of Padé approximants to $e^z$
On remainder estimates for Levin-type sequence transformations
Computing the hypergeometric function
The asymptotic expansion of generalized hypergeometric functions.
Scalar Levin-type sequence transformations
Multidomain spectral method for the Gauss hypergeometric function
Fast and accurate algorithms for the computation of spherically symmetric nonlocal diffusion operators on lattices
Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation
A recursive algorithm for an efficient and accurate computation of incomplete Bessel functions
Computation of tail probabilities via extrapolation methods and connection with rational and Padé approximants
Exponential integrators
Validated computation of certain hypergeometric functions
A First Course in the Numerical Analysis of Differential Equations
MPFR
Computing $A^\alpha, \log(A)$, and Related Matrix Functions by Contour Integrals
An Analytic Continuation Formula for the Generalized Hypergeometric Function
A note on Padé approximations and generalized hypergeometric functions
A New Method for Approximating Improper Integrals
Zero-Free Parabolic Regions for Sequences of Polynomials
Nineteen Dubious Ways to Compute the Exponential of a Matrix
Acceleration of Linear and Logarithmic Convergence
Practical Extrapolation Methods
Arb: Efficient Arbitrary-Precision Midpoint-Radius Interval Arithmetic
An Analytic Continuation of the Hypergeometric Series
Computing Hypergeometric Functions Rigorously
Development of non-linear transformations for improving convergence of sequences
Numerical evaluation of the Gauss hypergeometric function by power summations
Rational Approximations to Generalized Hypergeometric Functions
Discretization Errors for Well‐Set Cauchy Problems. I.
On Economic Representations of Transcendental Functions
Recursion Formulae of Hypergeometric Functions
A formula for accelerating the convergence of a general series
A-Stable Methods and Padé Approximations to the Exponential
The AAA Algorithm for Rational Approximation
The Asymptotic Expansion of the Generalized Hypergeometric Function
A New Class of Orthogonal Polynomials: The Bessel Polynomials
The analytic continuation of the Gaussian hypergeometric function $_2F_1(a,b;c;z)$ for arbitrary parameters
Computing the confluent hypergeometric function, $M(a,b,x)$

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