Bibliography for the Residue Calculus

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  1. Residue theorem and related integrals
    De Oliveira E.C.
    International Journal of Mathematical Education in Science and Technology, 1 January 2001, vol. 32, no. 1, pp. 156-160(5), Ingenta.  
  2. Use of the residue theorem to invert Laplace transforms
    Loney, N.W.
    Chemical Engineering Education, v 35, n 1, Winter, 2001, p 22-24, Engr.Village.    
  3. Residue calculus with differential operator.
    Nakamura, Yayoi; Tajima, Shinichi
    Kyushu J. Math. 54 (2000), no. 1, 127--138, MathSciNet.  
  4. Residue Calculus and Effective Nullstellensatz  
    Carlos A. Berenstein; Alain Yger  
    American Journal of Mathematics, Vol. 121, No. 4. (Aug., 1999), pp. 723-796, Jstor.  
  5. Precision solution to symmetrical inductive discontinuities of finite thickness in the parallel-plate waveguides using the modified residue-calculus method
    Shibazaki, Toshihiko; Kinoshita, Teruhiro
    IEICE Transactions on Electronics, v E81-C, n 12, Dec, 1998, p 1807-1813, Engr.Village.    
  6. A Study on the Epstein-Hubbell Generalized Elliptic-Type Integral Using Residue Theory
    Cengiz A.
    Applied Mathematics and Computation, April 1997, vol. 83, no. 1, pp. 19-26(8), Ingenta.  
  7. Comparison of the parabolic approximation with residue calculus in ocean acoustics.
    Buchanan, James L.; Gilbert, Robert P.
    Generalized analytic functions (Graz, 1997), 241--253, Int. Soc. Anal. Appl. Comput., 1, Kluwer Acad. Publ., Dordrecht, 1998, MathSciNet.  
  8. Regarding the calculus of real integrals using the residue theorem.  
    Popovici, Florin; Anisca, Ruazvan; Bencze, Mihály
    Octogon Math. Mag.  4  (1996),  no. 2, 21--23. 26A09
  9. Computing Schubert's calculus with Severi residues: an introduction to quantum cohomology.
    Bertram, Aaron
    Moduli of vector bundles (Sanda, 1994; Kyoto, 1994), 1--10, Lecture Notes in Pure and Appl. Math., 179, Dekker, New York, 1996, MathSciNet.
  10. Global residue theorem on analytic varieties
    Hatziafratis, Telemachos E.
    Journal of Mathematical Analysis and Applications, v 149, n 2, Jul 1, 1990, p 475-488, Engr.Village.    
  11. Le calcul des résidus et ses applications à la théorie des fonctions. (French) [The calculus of residues and its applications to the theory of functions]
    Lindelöf, Ernst
    Reprint of the 1905 original. Les Grands Classiques Gauthier-Villars. [Gauthier-Villars Great Classics] Éditions Jacques Gabay, Sceaux, 1989. viii+145 pp., MathSciNet.  
  12. A local analogon of the theorem for the complete sum of residues.
    Yuzhakov, A. P.
    Complex analysis and applications '87 (Varna, 1987), 560--563, Publ. House Bulgar. Acad. Sci., Sofia, 1989, MathSciNet.  
  13. Modified Residue Calculus Technique For Microstrip Step Discontinuities.
    Chu, T. S.; Itoh, T.
    Electronics Letters, v 21, n 7, Mar 28, 1985, p 257-258, Engr.Village.    
  14. Two simple proofs of the theorem for the maximal domain of univalence of the class of rational functions with simple poles and positive residues.
    Todorov, P. G.
    C. R. Acad. Bulgare Sci. 37 (1984), no. 4, 429--432, MathSciNet.  
  15. Extensions of several summation formulae of Ramanujan using the calculus of residues.
    Forrester, Peter J.
    Rocky Mountain J. Math. 13 (1983), no. 4, 557--572, MathSciNet.  
  16. Calculus of residues and general Cauchy formulas in Cn.
    Aronszajn, Nachman
    Bull. Sci. Math. (2) 101 (1977), no. 4, 319--352, MathSciNet.  
  17. A remark on the residue theorem of Bott.
    Heitsch, James L.
    Indiana Univ. Math. J. 25 (1976), no. 12, 1139--1147, MathSciNet.  
  18. The Residue Calculus in Several Complex Variables  
    Gerald Leonard Gordon  
    Transactions of the American Mathematical Society, Vol. 213. (Nov., 1975), pp. 127-176, Jstor.  
  19. An operator residue theorem with applications to branching processes and renewal type integral equations.
    Schumitzky, Alan; Wenska, Tom
    SIAM J. Math. Anal. 6 (1975), 229--235, MathSciNet.  
  20. Summation of Series by the Residue Theorem  
    Henry J. Ricardo  
    Mathematics Magazine, Vol. 44, No. 1. (Jan., 1971), pp. 24-26, Jstor.  
  21. A modified residue calculus technique.
    Mittra, R.; Lee, S. W.; Vanblaricum, G. F.
    Internat. J. Engrg. Sci. 6 1968 395--408, MathSciNet.  
  22. Note on Evaluating Certain Real Integrals by Cauchy's Residue Theorem (in Classroom Notes)  
    Orin J. Farrell  
    American Mathematical Monthly, Vol. 68, No. 2. (Feb., 1961), pp. 151-152, Jstor.  
  23. Introduction to the residue calculus.
    van der Corput, J. G.
    Nederl. Akad. Wetensch. Proc. Ser. A 64 = Indag. Math. 23 1961 143--156, MathSciNet.  
  24. A Residue Theorem for Finite Blaschke Products  
    Maurice Heins  
    Proceedings of the American Mathematical Society, Vol. 2, No. 4. (Aug., 1951), pp. 622-624, Jstor.  
  25. Residue theorems of harmonic functions of three variables.
    Bergman, Stefan
    Bull. Amer. Math. Soc. 49, (1943). 163--174, MathSciNet.  

 

 

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(c) John H. Mathews 2003