论文信息 - Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions

Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions

Integral representations of hypergeometric and confluent hypergeometric functions with real parameters and complex arguments are used to approximate these functions by Gaussian quadrature. An analysis is given of the errors involved and of estimates of the number of Gauss points required to achieve any given accuracy. Numerical examples illustrate the theory.

Walter Gautschi | W. Gautschi

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