Computation of the roots of cauchy type principal value integrals

References

• Abramowitz , M. and Stegun , I. A. , eds. 1965 . Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables , New York : Dover .
   Google Scholar
• Anastasselou , E. G. 1984 . “ Doctoral thesis at the National Technical University of Athens ” . In Methods for the Determination of Zeros, Poles and Discontinuity Intervals of Analytic Functions with Applications to Engineering Problems Athens in preparation; in Greek
   Google Scholar
• Burniston , E. E. and Siewert , C. E. 1973 . The use of Riemann problems in solving a class of transcendental equations . Proc. Cambridge Philos. Soc , 73 : 111 – 118 .
   Google Scholar
• Burniston , E. E. and Siewert , C. E. 1973 . Exact analytical solutions of the transcendental equation . SIAM J. Appl. Math , 24 : 460 – 466 .
   Web of Science ®Google Scholar
• Evans , G. A. , Forbes , R. C. and Hyslop , J. 1983 . Polynomial transformations for singular integrals . Intern. J. Computer Math , 14 : 157 – 170 .
   Web of Science ®Google Scholar
• Gakhov , F. D. 1966 . Boundary Value Problems , Oxford : Pergamon Press and Addison‐Wesley .
   Google Scholar
• Harris , C. G. and Evans , W. A. B. 1977 . Extension of numerical quadrature formulae to cater for end point singular behaviours over finite intervals . Intern. J. Computer Math , 6 : 219 – 227 .
   Web of Science ®Google Scholar
• Householder , A. S. 1970 . The Numerical Treatment of a Single Nonlinear Equation , New York : Mc Graw‐ Hill .
   Google Scholar
• Stroud , A. H. and Secrest , Don . 1966 . Gaussian Quadrature Formulas , New Jersey : Prentice‐ Hall, Englewood Cliffs .
   Google Scholar