Bibliography for the complex integrals -

unabridged

 

  1. On the solution of certain fractional differential equation by using contour integrals  
    Elzaidi, S. M.
    J. Fract. Calc. 27 (2005), 73--76, MathSciNet.
  2. Two problems in real and complex integral geometry.
    Naveira, A. M.
    Complex, contact and symmetric manifolds, 209--220, Progr. Math., 234, Birkhäuser Boston, Boston, MA, 2005, MathSciNet.
  3. A solution of one problem of complex integration.
    Tomovski, Zivorad; Trencevski, Kostadin
    Tamkang J. Math. 33 (2002), no. 2, 103--107, MathSciNet.
  4. Evaluation of certain complex integrals involving absolute values.
    Li, Jian-Lin
    Appl. Math. Comput. 131 (2002), no. 1, 15--19, MathSciNet.
  5. The modified Simpson's rule for line integrals.
    Siyyam, Hani I.
    J. Indian Acad. Math. 23 (2001), no. 1, 99--107, MathSciNet.
  6. Complex integrals in the Gauss era. (Polish)
    Hachaj, Jadwiga; Jakóbczak, Piotr
    Mathematics in the Gauss era (Polish) (Zielona Góra, 2000), 67--75, WSP, Zielona Góra, 2001, MathSciNet.
  7. Integration of Complex Differential Equations
    Scárdua B.A.
    Journal of Dynamical and Control Systems, Volume 05, Number 1, January 1999, pp. 1-50(50), Ingenta.  
  8. Formulas for the numerical approximation of contour integrals
    Acharya, B.P. (Utkal Univ);   Mohanty, N.  
    International Journal of Computer Mathematics, v 70, n 3, 1999, p 445-451, Compendex.
  9. Evaluation of infinite range oscillatory integrals using optimal contours in the complex plane  
    Evans, G.A.;  Chung, K.C.  
    International Journal of Computer Mathematics, v 66, n 1-2, 1998, p 39-52, Compendex
  10. Simplifications of some important theorems on complex integration. (Chinese)
    Yang, Feng Jian
    Hunan Jiaoyu Xueyuan Xuebao (Ziran Kexue) 16 (1998), no. 2, 21--23, MathSciNet.
  11. Using Complex Integration to Compute Multivariate Normal Probabilities  
    W. C. Soong; Jason C. Hsu
    Journal of Computational and Graphical Statistics, Vol. 6, No. 4 (Dec., 1997), pp. 397-415, Jstor.     
  12. Another approach to complex integration.
    Tutschke, W.
    Mat. Bilten No. 21 (1997), 17--20, MathSciNet.
  13. A study on complex integrals involving absolute values.
    Wazwaz, Abdul-Majid
    Appl. Math. Comput. 85 (1997), no. 2-3, 281--286, MathSciNet.
  14. Using complex integration to compute multivariate normal probabilities.
    Soong, W. C.; Hsu, Jason C.
    J. Comput. Graph. Statist. 6 (1997), no. 4, 397--415, MathSciNet.
  15. The modified trapezoidal rule for line integrals.
    Siyyam, H. I.; Syam, M. I.
    J. Comput. Appl. Math. 84 (1997), no. 1, 1--14, MathSciNet.
  16. A line-integral work function for the Lorentz force
    Healy W.P.
    European Journal of Physics, Volume 18, Number 5, 1997, pp. 350-353(4), Ingenta.   
  17. A new method for approximating sums by means of complex integration.
    Ymeri, Hasan M.
    Punjab Univ. J. Math. (Lahore) 28 (1995), 69--82, MathSciNet.
  18. Applications of complex integration in real integration. (Chinese)
    Zhang, Yu Lan
    Pure Appl. Math. (Xi'an) 10 (1994), suppl., 124--129, MathSciNet.
  19. Numerical Evaluation of Line Integrals
    K. Atkinson; E. Venturino
    SIAM Journal on Numerical Analysis, Vol. 30, No. 3 (Jun., 1993), pp. 882-888, Jstor.   
  20. A Simple Interpretation of the Complex Contour Integral  
    Alan Gluchoff
    The American Mathematical Monthly, Vol. 98, No. 7 (Aug., 1991), pp. 641-644, Jstor.   
  21. The Asymptotic Behaviour of Pearcey's Integral for Complex Variables  
    R. B. Paris
    Proceedings: Mathematical and Physical Sciences, Vol. 432, No. 1886 (Mar., 1991), pp. 391-426, Jstor.    
  22. A Method for Determining Some Integrals
    Glaister, P.
    Math. and Comp. Ed., V. 25, No. 1, (1991), pp. 31-32.
  23. An application of complex integration for solving a problem in graphic computation. (Spanish)
    López López, Antonio; Sainz-Ezquerra Domínguez, Fernando
    Qüestiió 14 (1990), no. 1-3, 97--105, MathSciNet.
  24. Evaluation of complex integrals. (Spanish)
    Vega, P.; Prada, C.; Fernández, R.
    Rev. Inform. Automát. 22 (1989), no. 1, 37--45, MathSciNet.
  25. Line Integrals of Higher-Order Derivatives  
    G. N. Hile; R. Z. Yeh
    The American Mathematical Monthly, Vol. 95, No. 8 (Oct., 1988), pp. 739-744, Jstor.    
  26. Special Integration Techniques for Trigonometric Integrals (in The Teaching of Mathematics)  
    Ashok K. Arora; Sudhir K. Goel; Dennis M. Rodriguez  
    American Mathematical Monthly, Vol. 95, No. 2. (Feb., 1988), pp. 126-130, Jstor.  
  27. Line integrals on super-Riemann surfaces.
    McArthur, I. N.
    Phys. Lett. B 206 (1988), no. 2, 221--226, MathSciNet.
  28. Contour Integration: an Integral Evaluated  
    Sackfield, A. and D. A. Hills  
    Int. J. of Math. Ed. in Sci. and Tech., (1988), V. 19, No. 1, pp. 73-77.  
  29. Polya's Geometric Picture of Complex Contour Integrals  
    Bart Braden
    Mathematics Magazine, Vol. 60, No. 5 (Dec., 1987), pp. 321-327, Jstor.  
  30. Simplification of Some Contour Integrations  
    Mary L. Boas; R. P. Boas
    The American Mathematical Monthly, Vol. 92, No. 3 (Mar., 1985), pp. 212-213, Jstor.     
  31. Approximate evaluation of multiple complex integrals of analytic functions.
    Acharya, B. P.; Das, R. N.
    Computing 30 (1983), no. 3, 279--283, MathSciNet.
  32. On Line Integrals of Rational Functions of Two Complex Variables  
    E. Azoff; K. Clancey; I. Gohberg
    Proceedings of the American Mathematical Society, Vol. 86, No. 2 (Oct., 1982), pp. 229-235, Jstor.     
  33. Evaluation of Certain Real Integrals by Contour Integration (in Notes)  
    Baldev K. Sachdeva; Bertram Ross  
    American Mathematical Monthly, Vol. 89, No. 4. (Apr., 1982), pp. 246-249, Jstor.  
  34. A technique for evaluating sums by means of complex integration.
    Leavitt, Richard P.; Morrison, Clyde A.
    Amer. J. Phys. 50 (1982), no. 12, 1112--1117, MathSciNet.
  35. A Simplification in Contour Integration  
    Sachdeva, Baldev K. and Bertram Ross  
    Int. J. of Math. Ed. in Sci. and Tech., (1981), V. 12, No. 1, pp. 57-61.  
  36. A Simplification in Certain Contour Integrals (in Classroom Notes)   
    Harold P. Boas; Eduardo Friedma
    American Mathematical Monthly, Vol. 84, No. 6. (Jun. - Jul., 1977), pp. 467-468, Jstor.  
  37. A Liouville theorem on integration in finite terms for line integrals.
    Caviness, B. F.; Rothstein, Michael
    Comm. Algebra 3 (1975), no. 9, 781--795, MathSciNet.
  38. The Cayley-Hamilton Theorem Via Complex Integration  
    J. B. Deeds
    The American Mathematical Monthly, Vol. 78, No. 9 (Nov., 1971), pp. 1003-1004, Jstor.     
  39. Evaluation of some Integrals by Contour Integration (in Mathematical Notes)  
    M. Lutzky  
    American Mathematical Monthly, Vol. 77, No. 10. (Dec., 1970), pp. 1080-1082, Jstor.  
  40. A Note on the Integral Functions of Two Complex Variables  
    Arun Kumar Agarwal
    The American Mathematical Monthly, Vol. 75, No. 8 (Oct., 1968), pp. 880-881, Jstor.    
  41. On Numerical Contour Integration Round a Closed Contour  
    J. N. Lyness; L. M. Delves  
    Mathematics of Computation, Vol. 21, No. 100. (Oct., 1967), pp. 561-577, Jstor.  
  42. A New Approach to Integration for Functions of a Complex Variable  
    Donald H. Trahan
    Mathematics Magazine, Vol. 38, No. 3 (May, 1965), pp. 132-140, Jstor.     
  43. Evaluation of certain complex integrals. (Macedonian)
    Dimitrovski, Dragan S.
    Bull. Soc. Math. Phys. Macédoine 16 1965 27--33, MathSciNet.
  44. Some Contour Integral Solutions to Bessel's Equation (in Mathematical Notes)  
    James M. Horner  
    American Mathematical Monthly, Vol. 71, No. 6. (Jun. - Jul., 1964), pp. 642-643, Jstor.  
  45. Applications of the Complex Exponential Integral  
    Murlan S. Corrington
    Mathematics of Computation, Vol. 15, No. 73 (Jan., 1961), pp. 1-6, Jstor.    
  46. Line Integrals of Exact Differentials  
    William J. Firey
    The American Mathematical Monthly, Vol. 68, No. 1 (Jan., 1961), pp. 57-59, Jstor.     
  47. Line Integrals in a Multiply Connected Region  
    Arthur B. Brown
    Mathematics Magazine, Vol. 34, No. 4 (Mar., 1961), pp. 230-232, Jstor.      
  48. Independence of Path for Line Integrals  
    H. J. Zimmerberg
    The American Mathematical Monthly, Vol. 66, No. 4 (Apr., 1959), pp. 303-306, Jstor.     
  49. On a certain type of complex integral.
    Azpeitia, A. G.
    Math. Gaz. 43 1959 181--182, MathSciNet.
  50. Correction: Fourier analysis of engine unbalance by contour integration  
    W. E. Bleick  
    American Mathematical Monthly, Vol. 64, No. 3. (Mar., 1957), p. 180, Jstor.  
  51. Fourier Analysis of Engine Unbalance by Contour Integration  
    W. E. Bleick  
    American Mathematical Monthly, Vol. 63, No. 7. (Aug. - Sep., 1956), pp. 466-472, Jstor.  
  52. Plane Areas by Complex Integration  
    J. D. Mancill
    The American Mathematical Monthly, Vol. 58, No. 4 (Apr., 1951), pp. 232-238, Jstor.     
  53. Contour Integration in the Theory of the Spherical Pendulum and the Heavy Symmetrical Top  
    Walter Kohn  
    Transactions of the American Mathematical Society, Vol. 59, No. 1. (Jan., 1946), pp. 107-131, Jstor.  
  54. The Spherical Pendulum and Complex Integration  
    Alexander Weinstein
    The American Mathematical Monthly, Vol. 49, No. 8 (Oct., 1942), pp. 521-523, Jstor.     
  55. On the Independence of Line Integrals on the Path  
    Emil Artin
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 27, No. 10 (Oct., 1941), pp. 489-490, Jstor.      
  56. On the Surface Integrals of Functions of Two Complex Variables  
    Stefan Bergman
    American Journal of Mathematics, Vol. 63, No. 2 (Apr., 1941), pp. 295-318, Jstor.      
  57. A Paradox in Complex Numbers and Integration  
    C. O. Oakley
    The American Mathematical Monthly, Vol. 47, No. 1 (Jan., 1940), pp. 37-39, Jstor.     
  58. Line integrals, their semicontinuity properties, and their independence of the path.
    Menger, Karl Analysis and metric geometry.
    Rice Inst. Pamphlet 27, (1940). 1--40, MathSciNet.
  59. A Geometric Representation of a Line Integral  
    W. H. Roever
    The American Mathematical Monthly, Vol. 44, No. 1 (Jan., 1937), pp. 22-24, Jstor.       

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006