Bibliography for Laurent series

unabridged

 

  1. Coincidence of Two Classes of Universal Laurent Series
    Vlachou V.
    Complex Variables, 1 January 2002, vol. 47, no. 11, pp. 1045-1053(9), Ingenta.   
  2. Direct and inverse spectral transform for the relativistic Toda lattice and the connection with Laurent orthogonal polynomials
    Coussement J.; Kuijlaars A.B.J.; Assche W.V.
    Inverse Problems, 2002, vol. 18, no. 3, pp. 923-942(20), Ingenta.     
  3. On Metric Diophantine Approximation in the Field of Formal Laurent Series
    Fuchs M.
    Finite Fields and Their Applications, July 2002, vol. 8, no. 3, pp. 343-368(26), Ingenta.   
  4. Fréchet algebras with a Laurent series generator and the annulus algebras.
    Bhatt, S. J.; Dedania, H. V.; Patel, S. R.
    Bull. Austral. Math. Soc. 65 (2002), no. 3, 371--383, MathSciNet.  
  5. Spectral transformations of the Laurent biorthogonal polynomials. I. q-Appel polynomials
    Vinet L.; Zhedanov A.
    Journal of Computational and Applied Mathematics, 1 June 2001, vol. 131, no. 1, pp. 253-266(14), Ingenta.     
  6. Laurent series from entire functions.
    Golightly, George O.
    Houston J. Math. 26 (2000), no. 2, 409--416, MathSciNet.  
  7. On a generalization of the Laurent series. (Russian)
    Abanin, A. V.; Semenova, G. A.
    Mat. Zametki 68 (2000), no. 1, 3--12; translation in Math. Notes 68 (2000), no. 1-2, 3--11, MathSciNet.  
  8. Using Laurent polynomial representation for the analysis of non-uniform binary subdivision schemes
    Levin D.
    Advances in Computational Mathematics, 1999, vol. 11, no. 1, pp. 41-54(14), Ingenta.     
  9. Para-orthogonal Laurent polynomials and the strong Stieltjes moment problem
    Bonan-Hamada C.M.; Jones W.B.
    Journal of Computational and Applied Mathematics, May 1999, vol. 105, no. 1, pp. 175-185(11), Ingenta.     
  10. Orthogonal Laurent polynomials and strong moment theory: a survey
    Jones W.B.; Njastad O.
    Journal of Computational and Applied Mathematics, May 1999, vol. 105, no. 1, pp. 51-91(41), Ingenta.     
  11. Multiple Laurent series and polynomial amoebas.  
    Passare, Mikael; Rullgård, Hans
    Actes des Rencontres d'Analyse Complexe (Poitiers-Futuroscope, 1999),  123--129, Atlantique, Poitiers, 2002, MathSciNet.  
  12. Laurent series for the inversion of perturbed linear operators on Hilbert space.
    Howlett, Phil; Avrachenkov, Kostya
    Optimization and related topics (Ballarat/Melbourne, 1999), 325--342, Appl. Optim., 47, Kluwer Acad. Publ., Dordrecht, 2001, MathSciNet.  
  13. Taylor and Laurent series on the sphere.
    Van Lancker, P.
    Complex Variables Theory Appl. 38 (1999), no. 4, 321--365, MathSciNet.  
  14. The ''classical'' Laurent biorthogonal polynomials
    Zhedanov A.
    Journal of Computational and Applied Mathematics, 5 October 1998, vol. 98, no. 1, pp. 121-147(27), Ingenta.     
  15. Long division for Laurent series matrices and the optimal assignment problem.
    Abdel-Ghaffar, Khaled A. S.
    Linear Algebra Appl. 280 (1998), no. 2-3, 189--197, MathSciNet.  
  16. Spectral factorization of Laurent polynomials
    Goodman T.N.T.; Micchelli C.A.; Rodriguez G.; Seatzu S.
    Advances in Computational Mathematics, 1997, vol. 7, no. 4, pp. 429-454(26), Ingenta.    
  17. Algebraic formulation of quantum analysis and its applications to Laurent series operator functions
    Suzuki M.
    Physics Letters A, 20 January 1997, vol. 224, no. 6, pp. 337-345(9), Ingenta.    
  18. Laurent series expansions in density functional theory
    Chen X.S.; McEnaney B.; Mays T.J.; Alcaniz-Monge J.; Cazorla-Amoros D.; Linares-Solano A.; Hatzimanikatis V.; Bailey J.E.; Wang Y.A.; Shubin L.; Parr R.G.
    Chemical Physics Letters, 14 March 1997, vol. 267, no. 1, pp. 14-22(9), Ingenta.    
  19. Approximation of a function given by its Laurent series.
    Van Iseghem, Jeannette; Graves-Morris, Peter R.
    Orthogonal polynomials and numerical analysis (Luminy, 1994). Numer. Algorithms 11 (1996), no. 1-4, 339--351, MathSciNet.  
  20. Generalized (t, s)-Sequences, Kronecker-Type Sequences, and Diophantine Approximations of Formal Laurent Series  
    Gerhard Larcher; Harald Niederreiter  
    Transactions of the American Mathematical Society, Vol. 347, No. 6. (Jun., 1995), pp. 2051-2073, Jstor.  
  21. The coefficients of the Laurent series expansions of real analytic functions.
    Abian, Alexander; Wilson, James A.
    Rend. Circ. Mat. Palermo (2) 42 (1993), no. 1, 155--160, MathSciNet.  
  22. Computing the Laurent series of the map Psi: C-D to C-M.
    Bielefeld, B.; Fisher, Y.; Haeseler, F. V.
    Adv. in Appl. Math. 14 (1993), no. 1, 25--38, MathSciNet.  
  23. Padé-type approximants for a formal Laurent series.
    Camacho, M.; González-Vera, P.
    Rev. Acad. Canaria Cienc. 4 (1992), no. 1-2, 111--124, MathSciNet.  
  24. Representation of solutions of two-dimensional analogues of the Sobolev equation by generalized Taylor and Laurent series. (Russian)
    Pletner, Yu. D.
    Zh. Vychisl. Mat. i Mat. Fiz. 32 (1992), no. 1, 59--70; translation in Comput. Math. Math. Phys. 32 (1992), no. 1, 51--60, MathSciNet.  
  25. Some results involving Laurent series.
    Raina, R. K.
    C. R. Acad. Bulgare Sci. 42 (1989), no. 11, 29--31, MathSciNet.  
  26. On the computation of local residues by expansion in a Laurent series. (Russian)
    Saparov, Z. B.
    Investigations in complex analysis (Russian), 148--152, Krasnoyarsk. Gos. Univ., Krasnoyarsk, 1989, MathSciNet.  
  27. Some cases of the calculation of a complete sum of residues in Cn by expansion in a Laurent series. (Russian)
    Saparov, Z. B.
    Izv. Akad. Nauk UzSSR Ser. Fiz.-Mat. Nauk 1988, no. 2, 28--33, 84, MathSciNet.  
  28. On the change of variable of absolutely convergent power and Laurent series on the unit circle.
    Alpár, L.
    Studia Sci. Math. Hungar. 21 (1986), no. 1-2, 59--65, MathSciNet.  
  29. Separation of analytic singularities and a multidimensional analogue of Laurent series. (Russian)
    Yuzhakov, A. P.
    Dokl. Akad. Nauk SSSR 283 (1985), no. 6, 1314--1317, MathSciNet.  
  30. Laurent series obtained by long division.
    Abian, A.; Hogben, L.; Johnston, E. H.
    Rad. Mat. 1 (1985), no. 1, 79--99, MathSciNet.  
  31. A Laurent series expansion formula and its applications.
    Raina, R. K.
    Proc. Indian Acad. Sci. Math. Sci. 93 (1984), no. 1, 59--62, MathSciNet.  
  32. On the change of variable of Laurent series.
    Alpár, L.
    Mathematical structure---computational mathematics---mathematical modelling, 2, 97--104, Publ. House Bulgar. Acad. Sci., Sofia, 1984, MathSciNet.  
  33. On a property of finite truncations of the Laurent series of analytic functions.
    Abian, Alexander
    Publ. Math. Debrecen 30 (1983), no. 1-2, 129--131, MathSciNet.  
  34. Periodic formal Laurent series.
    Heise, Werner
    Atti Sem. Mat. Fis. Univ. Modena 31 (1982), no. 1, 30--31 (1983), MathSciNet.  
  35. The Newton polyhedron and the Laurent series of rational functions of n variables. (Russian)
    Mkrtchyan, M. A.; Yuzhakov, A. P.
    Izv. Akad. Nauk Armyan. SSR Ser. Mat. 17 (1982), no. 2, 99--105, 153, MathSciNet.  
  36. Zeros of partial sums of Laurent series.
    Edrei, Albert
    Michigan Math. J. 29 (1982), no. 1, 43--57, MathSciNet.  
  37. Zeros of partial sums of the Laurent series of analytic functions.
    Abian, Alexander; Johnston, Elgin H.
    Kyungpook Math. J. 21 (1981), no. 1, 87--90, MathSciNet.  
  38. Two theorems on truncations of the Laurent series.  
    Abian, Alexander
    IMA J. Appl. Math.  27  (1981), no. 4, 477--479, MathSciNet.  
  39. A factorization for formal Laurent series and lattice path enumeration.
    Gessel, Ira M.
    J. Combin. Theory Ser. A 28 (1980), no. 3, 321--337, MathSciNet.  
  40. Sequences of meromorphic functions corresponding to a formal Laurent series.
    Jones, William B.; Thron, W. J.
    SIAM J. Math. Anal. 10 (1979), no. 1, 1--17, MathSciNet.  
  41. The completeness of analytic functions, and the extremality of the coefficients of a Laurent series. (Russian)
    Sinanjan, S. O.
    Mat. Zametki 22 (1977), no. 2, 277--283, MathSciNet.  
  42. Toeplitz Matrices Generated by the Laurent Series Expansion of an Arbitrary Rational Function  
    K. Michael Day  
    Transactions of the American Mathematical Society, Vol. 206. (May, 1975), pp. 224-245, Jstor.  
  43. The connection between the extremality of the coefficients of a Laurent series and the completeness of a set of analytic functions in the space of continuous functions. (Russian)
    Sinanjan, S. O.
    Mat. Zametki 15 (1974), 221--228, MathSciNet.  
  44. A Laurent Expansion for Solutions to Elliptic Equations  
    Reese Harvey; John C. Polking  
    Transactions of the American Mathematical Society, Vol. 180. (Jun., 1973), pp.  407-413, Jstor.  
  45. A certain analogue of the Laurent series for functions of several complex variables that are holomorphic on strongly linearly convex sets. (Russian) Holomorphic functions of several complex variables (Sem., Krasnoyarsk, 1972) (Russian), pp. 139--152, 212.
    Trutnev, V. M.
    Inst. Fiz. Sibirsk. Otdel. Akad. Nauk sssr, Krasnoyarsk, 1972, MathSciNet.  
  46. A certain generalization of the Laurent series. (Russian)
    Frolov, Ju. N.
    Mat. Zametki 9 1971 521--531, MathSciNet.  
  47. Domains of convergence of Laurent series in Cn. (Russian)
    Engibarjan, N. B.
    Izv. Akad. Nauk Armjan. SSR Ser. Mat. 2 1967 no. 6, 345--349, MathSciNet.  
  48. The parametric localization by moduli of the zeros of polynomials and Laurent series. (Russian)
    Cegelik, G. G.
    Izv. Vysvs. Ucebn. Zaved. Matematika 1967 1967 no. 12 (67), 90--96, MathSciNet.  
  49. An analogue of the Laurent series and residue for functions of two complex variables. (Russian)
    Araviuiskaja, E. N.
    Trudy Tomsk. Gos. Univ. Ser. Meh.-Mat. 179 1966 3--5, MathSciNet.  
  50. On A-convolutions of Laurent series in a circular annulus. (Russian)
    Makmak, K. M.
    Uspehi Mat. Nauk 20 1965 no. 1 (121), 213--220, MathSciNet.
  51. On analytic continuation of Laurent series.
    Brickman, Louis
    Michigan Math. J. 12 1965 1--10, MathSciNet.  
  52. Generalized Laurent Series for Singular Solutions of Elliptic Partial Differential Equations  
    Murray Wachman  
    Proceedings of the American Mathematical Society, Vol. 15, No. 1. (Feb., 1964), pp. 101-108, Jstor.  
  53. Determination of principal indices of Laurent series. (Russian)
    Vitenc'ko, I. V.; Kostovskiui, A. N.
    Dokl. Akad. Nauk SSSR 155 1964 732--734, MathSciNet.  
  54. Determination of the zeros of Laurent series. (Ukrainian)
    Vitenc'ko, I. V.
    Dopovidi Akad. Nauk Ukraïn. RSR 1963 1963 9--13, MathSciNet.  
  55. Some instances of calculating residues of functions of two complex variables by expanding into Laurent series. (Russian)
    Juvzakov, A. P.
    Izv. Akad. Nauk Armjan. SSR Ser. Fiz.-Mat. Nauk 15 1962 no. 4, 13--24, MathSciNet.  
  56. The Asymptotic Behavior of the Laurent Coefficients  
    Max Wyman  
    Journal of the Society for Industrial and Applied Mathematics, Vol. 7, No. 3, Proceedings of the Symposium on Asymptotic Expansions. Claremont, California, November 21, 1958. (Sep., 1959), pp. 325-342, Jstor.  
  57. On coefficient-regions of Laurent series with positive real part.
    Nishimiya, Han
    Kodai Math. Sem. Rep. 11 1959 25--39, MathSciNet.  
  58. A Remark on Laurent Expansions (in Mathematical Notes)  
    Howard Osborn  
    American Mathematical Monthly, Vol. 65, No. 1. (Jan., 1958), p. 28, Jstor.  
  59. On the coefficients of typically-real Laurent series.
    Komatu, Yûsaku
    Kodai Math. Sem. Rep. 9 (1957), 42--48, MathSciNet.  
  60. On the Coefficients of Univalent Laurent Series  
    Zeev Nehari; Binyamin Schwarz  
    Proceedings of the American Mathematical Society, Vol. 5, No. 2. (Apr., 1954), pp. 212-217, Jstor.  
  61. On the coefficients of univalent Laurent series.
    Nehari, Zeev; Schwarz, Binyamin
    Proc. Amer. Math. Soc. 5, (1954). 212--217, MathSciNet.  
  62. Note on the Laurent Series (in Mathematical Notes)  
    Joseph Lehner  
    American Mathematical Monthly, Vol. 57, No. 3. (Mar., 1950), pp. 177-179, Jstor.  
  63. On the zeros of polynomials and Laurent series. (Spanish)
    Augé, Juan
    Revista Mat. Hisp.-Amer. (4) 3, (1943). 176--185, 229--241, MathSciNet.  
  64. An Extension of the Laurent Expansion  
    D. W. Western  
    American Mathematical Monthly, Vol. 48, No. 7. (Aug. - Sep., 1941), pp. 444-450, Jstor.  

 

 

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