Congruence of analytic functions modulo a polynomial
Convergence of the Arithmetic-Geometric Mean Procedure for the Complex Variables and the Calculation of the Complete Elliptic Integrals with Complex Modulus.
Correct rounding of algebraic functions
We explicit the link between the computer arithmetic problem of providing correctly rounded algebraic functions and some diophantine approximation issues. This allows to get bounds on the accuracy with which intermediate calculations must be performed to correctly round these functions.
Desarrollos asintóticos de funciones de Airy generalizadas.
Error Estimates for Miller's Algorithm.
Estimating powers with base close to unity and large exponents.
Estimating the sequence of real binomial coefficients.
Evaluation of associated Legendre functions off the cut and parabolic cylinder functions.
Evaluation of coefficients of a double Chebyshev series of the function g(p(x+y))
Evaluation of the Fermi-Dirac integral of half-integer order
Expansions of the Kurepa Functions
Experimental approaches to Kuttner's problem.
Factorizations of matrices and functions of two variables
Koordinatensystem-invariante Ausgleichskegelschnitte
New algorithm for polynomial spectral factorization with quadratic convergence. I
New recurrence formulae for spherical Bessel's functions
Numerical Calculation of Incomplete Gamma Functions by the Trapezoidal Rule.
Numeric-analytical construction of Mathieu functions
In this paper we present an iterative algorithm for the construction of Mathieu functions of any order in the form of Fourier series (practically, polynomials), and also the corresponding Quick-BASIC program for realization of this algorithm with numerical values of the parameter.
O logaritmech a logaritmických tabulkách [Book]
O regularisaci optimální formule pro výpočet Fourierových koeficientů