Bibliography for Green's Function

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  1. Iterative Green's Function Analysis of an H-plane T-junction in a parallel-plate Waveguide
    Y.H. Cho
    Journal of Electromagnetic Waves and Applications, 2004, vol. 18, no. 9, pp. 1195-1202(8), Ingenta.
  2. Green's Functions for Multiply Connected Domains via Conformal Mapping  PDF  
    Mark Embree, Lloyd N. Trefethen
    SIAM Review, Volume 41, Number 4, (2003), pp. 745-761, Compendex.
  3. On growth of Green's function of Sturm-Liouville problem with complex density at the parameter.
    Mamedov, Yu. A.; Mastaliyev, V. Yu.
    Applied problems of mathematics and mechanics (Baku, 2002). Proc. Inst. Math. Mech. Natl. Acad. Sci. Azerb. 17 (2002), 122--127, 206--207, MathSciNet.  
  4. Green's Function For A Thermomechanical Mixed Boundary Value Problem Of An Infinite Plane With An Elliptic Hole
    Han J.; Hasebe N.
    Journal of Thermal Stresses, 1 September 2001, vol. 24, no. 9, pp. 903-916(14), Ingenta.  
  5. Problems and Techniques  PDF  
    Joe Flaherty, Section Editor
    SIAM Review, Volume 41, Number 4, (1999), pp. 719-719.
  6. Green's functions for multiply connected domains via conformal mapping
    Embree, Mark; Trefethen, Lloyd N.
    SIAM Review, v 41, n 4, Dec, 1999, p 745-761, Compendex.
  7. Inradius and integral means for Green's functions and conformal mappings.
    Bañuelos, Rodrigo; Carroll, Tom; Housworth, Elizabeth
    Proc. Amer. Math. Soc. 126 (1998), no. 2, 577--585, MathSciNet.  
  8. Closed-form solutions to surface Green's functions  PDF  
    A. Umerski
    Physical Review B 15 February 1997-Ii Volume 55, Number 8, pp. 55-64.  
  9. Image method for green's function of anisotropic half-plane with inclined boundary
    Y. Z. C.
    International Journal of Engineering Science, November 1996, vol. 34, no. 14, pp. 1563-1571(9), Ingenta.  
  10. Equivalence of Markov's property and Hölder continuity of the Green function for Cantor-type sets.
    Biaas-Ciez, Leokadia
    East J. Approx. 1 (1995), no. 2, 249--253, MathSciNet.  
  11. The Green function and a generalized corona problem in one complex variable.
    Cegrell, Urban
    New Zealand J. Math. 23 (1994), no. 1, 19--23, MathSciNet.  
  12. Exploring the Complex Plane: Green's Functions, Hilbert Transforms, and Analytic Continuation
    P. Singh; William J. Thompson    
    Computers in Physics, Vol. 7, Issue 4, (1993), pp. 388-392.
  13. Derivation of Green's Function of Complex Structures Using Computer Algebra
    Fabunmi, J. and Chang, P.
    AIAA Journal, Vol. 30, No. 10, (1992), pp. 2540-2570.
  14. On the Green function for a multiconnected domain.
    Rzolhk adkowski, Grzegorz
    Classical analysis (Kazimierz Dolny, 1991), 233--246, World Sci. Publishing, River Edge, NJ, 1992, MathSciNet.  
  15. The Near-Field Singularity Predicted by the Spiral Green's Function in Acoustics and Electrodynamics
    H. Ardavan
    Proceedings: Mathematical and Physical Sciences, Vol. 433, No. 1888 (May, 1991), pp. 451-459, Jstor.    
  16. Green's function for the anisotropic half-plane loaded by a single force
    Becker, W.
    Ingenieur-Archiv, v 60, n 4, 1990, p 255-261, Compendex.
  17. Complex variable Green's function representation of plane inelastic deformation in isotropic solids
    Denda, M.  
    Acta Mechanica, v 72, n 3-4, Jun, 1988, p 205-221, Compendex.
  18. The Green functions in curved spacetime.
    Buchbinder, I. L.; Kirillova, E. N.; Odintsov, S. D.
    Classical Quantum Gravity 4 (1987), no. 3, 711--719, MathSciNet.  
  19. Generalized Green's functions and spectral densities in the complex energy plane.
    Engdahl, Erik; Brändas, Erkki; Rittby, Magnus; Elander, Nils
    J. Math. Phys. 27 (1986), no. 11, 2629--2639, MathSciNet.  
  20. Green's function, Jensen measures, and bounded point evaluations.
    Anderson, Stephen L.
    J. Funct. Anal. 43 (1981), no. 3, 360--367, MathSciNet.  
  21. On the torsion function, Green's function and conformal radius: an isoperimetric inequality of Pólya and Szegö, some extensions and applications.
    Hersch, Joseph
    J. Analyse Math. 36 (1979), 102--117 (1980), MathSciNet.  
  22. Green's function for the heat equation as a limit of product integrals.
    Koosis, Paul
    Ark. Mat. 16 (1978), no. 2, 153--159, MathSciNet.  
  23. The Green's Function and Determining Equations
    David A. Sanchez
    The American Mathematical Monthly, Vol. 82, No. 7 (Aug., 1975), pp. 747-749, Jstor.   
  24. The discrete Green's function and the discrete kernel function.
    Deeter, Charles R.; Gray, J. Michael
    Discrete Math. 10 (1974), 29--42, MathSciNet.  
  25. On the Green's function for the biharmonic equation in an infinite wedge.
    Seif, Joseph B.
    Trans. Amer. Math. Soc. 182 (1973), 241--260, MathSciNet.  
  26. Derivation Of Weight Functions For The Circular And Rectangular Channel Magnetic Flowmeters, By Means Of Green's Theorem And Conformal Mapping
    Smyth C. C.
    J Phys E Sci Instrum, v 4, n 1, Jan, 1971, p 29-34, Compendex.
  27. Poles of the Two-Body Green Function
    H. Osborn
    Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, Vol. 302, No. 1468 (Dec., 1967), pp. 137-144, Jstor.   
  28. Utilizing Green's Function to Solve Nonhomogeneous Differential Systems
    L. C. Barrett; R. A. Jacobson
    The American Mathematical Monthly, Vol. 70, No. 1 (Jan., 1963), pp. 65-68, Jstor.   
  29. Lectures on the Green's function method.
    Prange, R. E.
    1962 Lectures on the many-body problem pp. 115--132, MathSciNet.  
  30. The Circles of Curvature of the Curves of Steepest Descent of Green's Function
    J. L. Walsh
    The American Mathematical Monthly, Vol. 68, No. 4 (Apr., 1961), pp. 323-329, Jstor.   
  31. Note on the Shape of Level Curves of Green's Function
    J. L. Walsh
    The American Mathematical Monthly, Vol. 60, No. 10 (Dec., 1953), pp. 671-674, Jstor.   
  32. Construction of the Green's Function of a Linear Differential System
    Kenneth S. Miller
    Mathematics Magazine, Vol. 26, No. 1 (Sep., 1952), pp. 1-8, Jstor.   
  33. A Green's Function in the Theory of Functions of Several Complex Variables
    P. R. Garabedian
    The Annals of Mathematics, 2nd Ser., Vol. 55, No. 1 (Jan., 1952), pp. 19-33, Jstor.     
  34. On the Green Function of a Star-Shaped Three Dimensional Region
    S. E. Warschawski
    The American Mathematical Monthly, Vol. 57, No. 7 (Aug., 1950), pp. 471-473, Jstor.   
  35. Variation of the Green Function and Theory of the p-Valued Functions
    Menahem Schiffer
    American Journal of Mathematics, Vol. 65, No. 2 (Apr., 1943), pp. 341-360, Jstor.    
  36. Green's Function and the Problem of Plateau
    Jesse Douglas
    American Journal of Mathematics, Vol. 61, No. 3 (Jul., 1939), pp. 545-589, Jstor.   
  37. On the Shape of Level Curves of Green's Function
    J. L. Walsh
    The American Mathematical Monthly, Vol. 44, No. 4 (Apr., 1937), pp. 202-213, Jstor.   
  38. Note on the Curvature of Level Curves of Green's Function
    J. L. Walsh
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 23, No. 2 (Feb., 1937), pp. 84-89, Jstor.   
  39. Note on the Curvature of Orthogonal Trajectories of Level Curves of Green's Function
    J. L. Walsh
    Proceedings of the National Academy of Sciences of the United States of America, Vol. 23, No. 3 (Mar., 1937), pp. 166-169, Jstor.    
  40. Lemniscates and Equipotential Curves of Green's Function
    J. L. Walsh
    The American Mathematical Monthly, Vol. 42, No. 1 (Jan., 1935), pp. 1-17, Jstor.   
  41. The Green's Function for a Plane Contour
    Hobart Dickinson Frary
    American Journal of Mathematics, Vol. 42, No. 1 (Jan., 1920), pp. 11-25, Jstor.   

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2006