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Section B

Some quadrature formulas for functions partially holomorphic with respect to each variable in a Jordan polydomain in C2 and a complex double integral formula

Pages 679-689 | Received 21 Feb 2008, Accepted 17 Apr 2008, Published online: 01 Jun 2009

References

  • Acharya , B. P. and Acharya , B. P. 2005 . Numerical evaluation of double and triple integrals . Int. J. Comp. Math. , 82 ( 1 ) : 125 – 129 .
  • Acharya , P. B. and Das , R. N. 1981 . On numerical integration of analytic functions of more than one variable . J. Math. Phys. Sci. , 15 : 399 – 408 .
  • Birkhoff , G. and Young , D. 1950 . Numerical quadrature of analytic and harmonic functions . J. Math. Phys. , 29 : 217 – 221 .
  • Das , R. N. , Padhy , S. and Acharya , P. B. 1981 . Numerical quadrature of analytic functions of more than one variable . J. Math. Phys. Sci. , 15 : 573 – 579 .
  • Hartogs , F. 1906 . Zur theorie analytishen functionen mehrener unabhangier veranderlichen insbesendere uber die Darstellung derselben durch Reihen, Welche nach Potenzen einer Veranderlichen fortschreiten . Math. Ann. , 62 : 1 – 88 .
  • Karantz , S. G. 1987 . What's several complex variables? . Am. Math. Month. , 94 ( 3 ) : 236 – 256 .
  • Lether , F. G. 1976 . On Birkhoff–Young quadrature of analytic functions . J. Comput. Appl. Math. , 2 : 81 – 84 .
  • Malcolm , M. C.G.T. 1992 . On a modified Birkhoff–Young quadrature formula for analytic functions . Univ. Beograd, Publ. Elektrotehn. Fak. Ser. Mat. , 3 : 13 – 16 .
  • Milovanovic’ , G. V. , Acharya , P. B. and Pattnaik , T. N. 1986 . On numerical evaluation of double integrals of an analytic function of two complex variables . BIT , 26 : 521 – 526 .
  • Nachibin , L. 1970 . Holomorphic Functions, Domains of Holomorphy and Local Properties , Amsterdam, London : North-Holland, Publishing Company .

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