Bibliography for the complex logarithms

short

 

  1. Linear Complexity of the Discrete Logarithm
    Konyagin S.; Lange T.; Shparlinski I.
    Designs, Codes and Cryptography, March 2003, vol. 28, no. 2, pp. 135-146(12), Ingenta.   
  2. Logarithm bispectrum-based approach to radar range profile for automatic target recognition
    Pei B.; Bao Z.; Xing M.
    Pattern Recognition, November 2002, vol. 35, no. 11, pp. 2643-2651(9), Ingenta.   
  3. A Generalized Logarithm for Exponential-Linear Equations
    Dan Kalman
    College Math Journal, VOL. 32, NO. 1, January 2001, Jstor.  
  4. Theoretical and numerical considerations about Pade approximants for the matrix logarithm
    Cardoso J.R.; Silva Leite F.
    Linear Algebra and its Applications, 15 June 2001, vol. 330, no. 1, pp. 31-42(12), Ingenta.    
  5. On the law of the iterated logarithm in open queueing networks
    Sakalauskas L.L.; Minkevicius S.
    European Journal of Operational Research, 1 February 2000, vol. 120, no. 3, pp. 632-640(9), Ingenta.    
  6. Logarithms and antilogarithms. An algebraic analysis approach.
    Przeworska-Rolewicz, Danuta
    With an appendix by Zbigniew Binderman. Mathematics and its Applications, 437. Kluwer Academic Publishers, Dordrecht, 1998. x+348 pp. ISBN: 0-7923-4974-1, MathSciNet.  
  7. De Rham Cohomology of Logarithmic Forms on Arrangements of Hyperplanes  
    Jonathan Wiens; Sergey Yuzvinsky  
    Transactions of the American Mathematical Society, Vol. 349, No. 4. (Apr., 1997), pp. 1653-1662, Jstor.  
  8. The existence of higher logarithms.
    Hain, Richard M.
    Compositio Math. 100 (1996), no. 3, 247--276, MathSciNet.  
  9. Exploring Complex-Base Logarithms (in Notes)  
    Stephen P. Huestis  
    Mathematics Magazine, Vol. 68, No. 1. (Feb., 1995), pp. 65-67, Jstor.  
  10. Conditions on the Logarithmic Derivative of a Function Implying Boundedness  
    T. H. MacGregor; F. Ronning  
    Transactions of the American Mathematical Society, Vol. 347, No. 6. (Jun., 1995), pp. 2245-2254, Jstor.  
  11. Convergence and Logarithm Laws of Self-tuning Regulators
    Guo L.
    Automatica, March 1995, vol. 31, no. 3, pp. 435-450(16), Ingenta.    
  12. Complex logarithms, Cauchy principal values, and the complex variable boundary element method.
    Whitley, Robert J.; Hromadka, T. V., II
    Appl. Math. Modelling 18 (1994), no. 8, 423--428, MathSciNet.  
  13. The harmonic logarithms and the binomial formula.
    Roman, Steven
    J. Combin. Theory Ser. A 63 (1993), no. 1, 143--163, MathSciNet.  
  14. Banach algebras, logarithms, and polynomials of convolution type.
    Di Bucchianico, A.
    J. Math. Anal. Appl. 156 (1991), no. 1, 253--273, MathSciNet.  
  15. Parametrization of Domains in C: The Logarithmic Domains  
    Johannes Michalicek; Rodolfo Wehrhahn  
    Transactions of the American Mathematical Society, Vol. 320, No. 2. (Aug., 1990), pp. 765-777, Jstor.  
  16. Higher logarithms.
    Hain, Richard M.; MacPherson, Robert
    Illinois J. Math. 34 (1990), no. 2, 392--475, MathSciNet.  
  17. Real hamiltonian logarithm of a symplectic matrix
    Dieci L.
    Linear Algebra and its Applications, 15 September 1998, vol. 281, no. 1, pp. 227-246(20), Ingenta.    
  18. Computing the logarithm of a symmetric positive definite matrix
    Ya Y.L.
    Applied Numerical Mathematics, April 1998, vol. 26, no. 4, pp. 483-496(14), Ingenta.    
  19. On the Uniqueness of the Inverse Logarithmic Potential Problem  
    V. N. Strakhov; M. A. Brodsky  
    SIAM Journal on Applied Mathematics, Vol. 46, No. 2. (Apr., 1986), pp. 324-344, Jstor.  
  20. Logarithmic Convexity for Discrete Harmonic Functions and the Approximation of the Cauchy Problem for Poisson's Equation  
    R. S. Falk; P. B. Monk  
    Mathematics of Computation, Vol. 47, No. 175. (Jul., 1986), pp. 135-149, Jstor.  
  21. Linear forms in elliptic logarithms.
    Yu, Kun Rui
    J. Number Theory 20 (1985), no. 1, 1--69, MathSciNet.  
  22. On the Monodromy of Higher Logarithms  
    Dinakar Ramakrishnan  
    Proceedings of the American Mathematical Society, Vol. 85, No. 4. (Aug., 1982), pp. 596-599, Jstor.  
  23. Evaluation of Complex Logarithms and Related Functions  
    George J. Miel  
    SIAM Journal on Numerical Analysis, Vol. 18, No. 4. (Aug., 1981), pp. 744-750, Jstor.  
  24. Evaluation of complex logarithms and related functions with interval arithmetic.  
    Miel, George J.
    Interval mathematics, 1980 (Freiburg, 1980),  pp. 407--415, Academic Press, New York-London, 1980, MathSciNet.  
  25. Acceleration of Linear and Logarithmic Convergence  
    David A. Smith; William F. Ford  
    SIAM Journal on Numerical Analysis, Vol. 16, No. 2. (Apr., 1979), pp. 223-240, Jstor.  
  26. Iterated logarithms of entire functions.
    Horowitz, Charles
    Israel J. Math. 29 (1978), no. 1, 31--42, MathSciNet.  
  27. Linear forms in logarithms in the p-adic case.
    Van der Poorten, A. J.
    Transcendence theory: advances and applications (Proc. Conf., Univ. Cambridge, Cambridge, 1976), pp. 29--57. Academic Press, London, 1977, MathSciNet.  
  28. The Logarithmic Center of a Planar Region  
    Douglas Hensley  
    Proceedings of the American Mathematical Society, Vol. 57, No. 2. (Jun., 1976), pp. 266-270, Jstor.  
  29. Invariance of an Integral Average of a Logarithm (in Mathematical Notes)  
    B. C. Carlson  
    The American Mathematical Monthly, Vol. 82, No. 4. (Apr., 1975), pp. 379-382, Jstor.  
  30. On Logarithmic Norms  
    Torsten Strom  
    SIAM Journal on Numerical Analysis, Vol. 12, No. 5. (Oct., 1975), pp. 741-753, Jstor.  
  31. Logarithmic Sobolev Inequalities  
    Leonard Gross  
    American Journal of Mathematics, Vol. 97, No. 4. (Winter, 1975), pp. 1061-1083, Jstor.  
  32. Some Remarks on the Logarithmic Function in the Complex Plane  
    Lowell Schoenfeld  
    Mathematics Magazine, Vol. 32, No. 4. (Mar. - Apr., 1959), pp. 189-202, Jstor.  
  33. On roots and logarithms of elements of a complex Banach algebra.
    Hille, Einar
    Math. Ann. 136 1958 46--57, MathSciNet.  
  34. On the Logarithm of a Uniformly Bounded Operator  
    G. L. Krabbe  
    Transactions of the American Mathematical Society, Vol. 81, No. 1. (Jan., 1956), pp. 155-166, Jstor.  
  35. On the logarithms of bounded matrices.
    Wintner, Aurel
    Amer. J. Math. 74, (1952). 360--364, MathSciNet.  
  36. Logarithmic Properties of a Power of x  
    W. E. Sewell  
    National Mathematics Magazine, Vol. 15, No. 2. (Nov., 1940), pp. 55-60, Jstor.  
  37. The Interrelations of the Fundamental Solutions of the Hypergeometric Equation; Logarithmic Case  
    Lyle E. Mehlenbacher  
    American Journal of Mathematics, Vol. 60, No. 1. (Jan., 1938), pp. 120-128, Jstor.  
  38. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 7. (Sep., 1913), pp. 205-210, Jstor.  
  39. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 4. (Apr., 1913), pp. 107-117, Jstor.  
  40. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 6. (Jun., 1913), pp. 173-182, Jstor.  
  41. History of the Exponenetial and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 5. (May, 1913), pp. 148-151, Jstor.  
  42. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 4. (Apr., 1913), pp. 107-117, Jstor.  
  43. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 3. (Mar., 1913), pp. 75-84, Jstor.  
  44. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 2. (Feb., 1913), pp. 35-47, Jstor.  
  45. History of the Exponential and Logarithmic Concepts  
    Florian Cajori  
    The American Mathematical Monthly, Vol. 20, No. 1. (Jan., 1913), pp. 5-14, Jstor.  
  46. On the Complete Logarithmic Solution of the Cubic Equation  
    R. E. Gleason  
    The Annals of Mathematics, 2nd Ser., Vol. 13, No. 1/4. (1911 - 1912), pp. 120-122, Jstor.  
  47. On Logarithmic Potential and Analytic Functions  
    C. W. Emmons  
    The American Mathematical Monthly, Vol. 17, No. 11. (Nov., 1910), pp. 205-213, Jstor.  
  48. Remarks on the Logarithmic Integrals of Regular Linear Differential Equations  
    Karl Heun  
    American Journal of Mathematics, Vol. 10, No. 3. (Apr., 1888), pp. 205-224, Jstor.  
  49. Evolute to Curve of Logarithmic Sines  
    L. G. Barbour  
    The Analyst, Vol. 4, No. 6. (Nov., 1877), pp. 169-171, Jstor.  

 

 

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