A Double exponential-type(DE-type)quadrature formula is proposed for evaluating the Cauchy principal-value integral:p.v.∫^1_<-1>F(x)(x-λ)^(-1)dx, and the Hadamard finite-part integral:f.p.∫^1_<-1>F(x)(x-λ)^<-n>dx, whereF(x) is a given analytic function, λ is a constant such that -1 < λ < 1, and n is an integer n = 2, 3, ・・・. This formula is theoretically based on the "Sinc method"[4], [6]. This quadrature error is of the order O(exp(-c_λN/logN)), where N is the number of nodes used, and c_λ is a positive constant which depends on λ. Numerical examples are presented.
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