TABLA DE CONTENIDO

·         INTRODUCTION.

·         FUNDAMENTALS INTEGRALS WITHIN THE EXTENDED CLENSHAW-CURTIS METHOD.

·         CLOSED ANALYTIC EXPRESSIONS OF THE CHEVYSHEV MOMENTS IN TERMS OF HYPERGEOMETRIC FUNCTIONS ₀F₁.

·         EXTENDED CLENSHAW-CURTIS QUADRATURE RULES.

1.        BASIC INTERPOLATING POLYNOMIALS.

2.        ECC QUADRATURE SUMS.

3.        A POSTERIORI QUADRATURE ERROR STIMATES.

4.        CONDITIONAL ACTIVATION OF THE ECC QUADRATURE RULES.

5.        COMPUTATION OF FINITE BASIS SETS OF HYPERGEOMETRIC FUNCTIONS ₀F₁.

·         NUMERICAL RESULTS AND COMPARISON WITH QUADPACK.

1.        OUTLINE OF CODE ORGANIZATION.

2.        TEST CASES.

3.        CPU TIMES.

4.        OVERHEAD.

5.        OUTPUT ACCURACIES.

·         CONCLUSIONS AND OPEN QUESTIONS.

·         ACKNOWLEDGMENTS.

·         REFERENCES.