Bibliography for Infinite Products

unabridged

 

  1. Numerical computations of infinite products  
    Ibrahim, Adel K.; Rakha, Medhat A.
    Appl. Math. Comput. 161 (2005), no. 1, 271--283, MathSciNet.  
  2. Fractal dimensions of infinite product spaces  
    Hare, Kathryn E.; Rönning, Jan-Olav
    Int. J. Pure Appl. Math. 14 (2004), no. 2, 139--169, MathSciNet.  
  3. The order of infinite products. (Chinese)
    Tang, Jian Guo
    Qufu Shifan Daxue Xuebao Ziran Kexue Ban 30 (2004), no. 3, 39--41, MathSciNet.  
  4. Algebraic numbers, transcendental numbers and elliptic curves derived from infinite products  
    Kim, Daeyeoul; Koo, Ja Kyung
    J. Korean Math. Soc. 40 (2003), no. 6, 977--998, MathSciNet.  
  5. A nowhere differentiable continuous function constructed by infinite products   
    Wen, Liu   
    Amer. Math. Monthly 109 (2002), no. 4, 378--380, Jstor.  
  6. A New Identity for the Infinite Product of Zeros of Bessel Functions of the First Kind or Their Derivatives
    Skelton E.A.
    Journal of Mathematical Analysis and Applications, March 2002, vol. 267, no. 1, pp. 338-344(7), Ingenta.  
  7. Expressions for infinite products.  
    Jeon, Hyeong-Gon
    Far East J. Math. Sci. (FJMS)  5  (2002),  no. 1, 81--88, MathSciNet.  
  8. Fuzzy infinite product. (Chinese)  
    Yang, Li Xing; Feng, Yuan; Zhang, Qiang
    Mohu Xitong yu Shuxue  16  (2002),  no. 1, 51--56, MathSciNet.  
  9. Weak infinite products of Blaschke products.  
    Izuchi, Keiji
    Proc. Amer. Math. Soc.  129  (2001),  no. 12, 3611--3618 (electronic), Jstor.  
  10. On some infinite product identities.  
    Cooper, Shaun; Hirschhorn, Michael
    Rocky Mountain J. Math.  31  (2001),  no. 1, 131--139, MathSciNet.  
  11. Generic convergence of infinite products. Special issue for Professor Ky Fan.  
    Reich, Simeon; Zaslavski, Alexander J
    J. Nonlinear Convex Anal.  2  (2001),  no. 1, 111--127, MathSciNet.  
  12. Decomposition of an exponential into an infinite product. (Russian)  
    Changa, M. E.
    Vestnik Moskov. Univ. Ser. I Mat. Mekh.  2001, no. 5, 46--49, 71;  translation in  Moscow Univ. Math. Bull.  56  (2001),  no. 5, 24--27, MathSciNet.  
  13. Transcendence of certain infinite products. (Chinese)  
    Zhu, Yao Chen
    Acta Math. Sinica  43  (2000),  no. 4, 605--610, MathSciNet.  
  14. Trench, William F.
    Conditional convergence of infinite products.  
    Amer. Math. Monthly  106  (1999),  no. 7, 646--651, Jstor.  
  15. Accelerating infinite products.  
    Cohen, Alan M.; Levin, David
    Numer. Algorithms  22  (1999),  no. 2, 157--165, MathSciNet.  
  16. On convergence of infinite products.  
    Kumari, Arti
    Math. Ed. (Siwan)  32  (1998),  no. 3, 158--159, MathSciNet.  
  17. Some remarks about the convergence of infinite products. (Spanish)  
    Takeuchi, Yu
    Lect. Mat.  18  (1997),  no. 2, 123--130, MathSciNet.  
  18. A Proof of the Existence of Infinite Product Probability Measures  
    Sadahiro Saeki  
    The American Mathematical Monthly > Vol. 103, No. 8 (Oct., 1996), pp. 682-683, Jstor.  
  19. Infinite product expressions for analytic functions of two variables. (Chinese)
    Yu, Xiu Yun
    Qufu Shifan Daxue Xuebao Ziran Kexue Ban 22 (1996), no. 2, 67--69, MathSciNet.  
  20. Infinite product expressions for analytic functions of two variables. (Chinese)  
    Yu, Xiu Yun
    Qufu Shifan Daxue Xuebao Ziran Kexue Ban  22  (1996),  no. 2, 67--69, MathSciNet.  
  21. On transformation of infinite products.  
    Jung, Soon-Mo
    J. Korean Math. Soc.  33  (1996),  no. 1, 57--68, MathSciNet.  
  22. An Infinite Product Arising from an Elementary Geometric Problem and the Estimate of Its Value
    Sasagawa T.
    Applied Mathematics and Computation, December 1995, vol. 73, no. 2, pp. 271-279(9), Ingenta.  
  23. Coefficient in a power of an infinite product.  
    Khare, S. P.
    J. Bihar Math. Soc.  16  (1995), 77--90, MathSciNet.  
  24. Euler's infinite product for the sine. (Norwegian)  
    Kirkebø, Carl Peter
    Normat  42  (1994),  no. 1, 40--41, 48, MathSciNet.  
  25. An interesting infinite product.  
    Borwein, Peter; Dykshoorn, Willem
    J. Math. Anal. Appl.  179  (1993),  no. 1, 203--207, MathSciNet.  
  26. Some Elementary Properties of Infinite Products  
    Edgar M. E. Wermuth  
    The American Mathematical Monthly, Vol. 99, No. 6. (Jun. - Jul., 1992), pp. 530-537, Jstor.  
  27. Remarks on the infinite product representations of holomorphic functions.  
    Indlekofer, Karl-Heinz; Warlimont, Richard
    Publ. Math. Debrecen  41  (1992),  no. 3-4, 263--276, MathSciNet.  
  28. New proofs for two infinite product identities.  
    Blecksmith, Richard; Brillhart, John; Gerst, Irving
    Rocky Mountain J. Math.  22  (1992),  no. 3, 819--823, MathSciNet.  
  29. A note on certain infinite products.
    Toyoizumi, Masao
    Proc. Japan Acad. Ser. A Math. Sci. 68 (1992), no. 10, 345--347, MathSciNet.  
  30. Infinite product factorizations of analytic functions.
    Knopfmacher, Arnold
    J. Math. Anal. Appl. 162 (1991), no. 2, 526--536, MathSciNet.  
  31. An Infinite Product Expansion for the Square Root Function (in The Teaching of Mathematics)  
    Eric Wingler  
    The American Mathematical Monthly, Vol. 97, No. 9. (Nov., 1990), pp. 836-839, Jstor.  
  32. Sur certains produits infinis. (French) [On certain infinite products]  
    Mendès France, M.
    Sém. Théor. Nombres Bordeaux (2)  1  (1989),  no. 1, 157--162, MathSciNet.  
  33. On the absolute continuity of infinite product measure and its convolution.  
    Kitada, Kazuhiro; Sato, Hiroshi
    Probab. Theory Related Fields  81  (1989),  no. 4, 609--627, MathSciNet.  
  34. Analysis of an infinite product algorithm.  
    Allouche, J.-P.; Hajnal, P.; Shallit, J. O.
    SIAM J. Discrete Math.  2  (1989),  no. 1, 1--15, MathSciNet.  
  35. On Infinite Product Expansion of the Arterial Longitudinal Impedance  
    Enzo Belardinelli  
    SIAM Journal on Applied Mathematics, Vol. 48, No. 4. (Aug., 1988), pp. 904-916, Jstor.  
  36. Some Infinite Product Identities  
    Richard Blecksmith; John Brillhart; Irving Gerst  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 301-314, Jstor.  
  37. Some infinite product identities.  
    Blecksmith, Richard; Brillhart, John; Gerst, Irving
    Math. Comp.  51  (1988),  no. 183, 301--314, MathSciNet.  
  38. Correctness of the Euler method of decomposing the sine function into an infinite product. (Russian)
    Kanovei, V. G.
    Uspekhi Mat. Nauk 43 (1988), no. 4(262), 57--81, 255; translation in Russian Math. Surveys 43 (1988), no. 4, 65--94, MathSciNet.  
  39. An analogue of a theorem of Hahn for infinite products. (Russian)
    Slepenchuk, K. M.
    Ukrain. Mat. Zh. 40 (1988), no. 5, 662--665, 679; translation in Ukrainian Math. J. 40 (1988), no. 5, 565--567, MathSciNet.  
  40. Infinite products of Cardano type. (Spanish)  
    Hernández Verón, Miguel A.; Guadalupe Hernández, José J.
    Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics, Vol. II (Portuguese) (Braga, 1987),  359--364, Univ. Minho, Braga, 1987, MathSciNet.  
  41. Representation of an analytic function of two variables by means of an infinite product. (Russian)
    Slepenchuk, K. M.
    Izv. Vyssh. Uchebn. Zaved. Mat. 1985, no. 3, 81--83, 89, MathSciNet.  
  42. On certain infinite products. II.
    Toyoizumi, Masao
    Mathematika 31 (1984), no. 1, 1--11, MathSciNet.  
  43. Weierstrass infinite products and factorization of entire L-functions on commutative Banach algebras. (Spanish)
    Bezanilla López, A.
    Cienc. Mat. (Havana) 4 (1983), no. 2, 25--36, MathSciNet.  
  44. On certain infinite products.  
    Toyoizumi, Masao
    Mathematika  30  (1983),  no. 1, 4--10, MathSciNet.  
  45. Conjecture on a Finite and an Infinite Product: Problem 76-16 (in Solutions)  
    A. Feldstein  
    SIAM Review, Vol. 23, No. 1. (Jan., 1981), pp. 104-105, Jstor.  
  46. Infinite products.  
    Withers, C. S.
    Math. Chronicle  10  (1981), no. 1-2, 99--103, MathSciNet.  
  47. An Infinite Product for e (in Mathematical Notes)  
    Nicholas Pippenger  
    The American Mathematical Monthly, Vol. 87, No. 5. (May, 1980), p. 391, Jstor.  
  48. On the Numerical Evaluation of Two Infinite Products  
    G. Allasia; F. Bonardo  
    Mathematics of Computation, Vol. 35, No. 151. (Jul., 1980), pp. 917-931, Jstor.  
  49. On the representation of analytic functions in the disc as infinite products of Blaschke type. (Russian)
    Avetisjan, R. Ab.
    Akad. Nauk Armyan. SSR Dokl. 71 (1980), no. 2, 76--81, MathSciNet.  
  50. Almost convergence of the infinite product of resolvents in Banach spaces.
    Bruck, Ronald E.; Passty, Gregory B.
    Nonlinear Anal. 3 (1979), no. 2, 279--282, MathSciNet.  
  51. An infinite product. (Russian)
    Dzrbasjan, M. M.
    Dokl. Akad. Nauk SSSR 240 (1978), no. 3, 518--521, MathSciNet.  
  52. Infinite Products for k-th Roots (in Mathematical Notes)  
    N. J. Fine  
    The American Mathematical Monthly, Vol. 84, No. 8. (Oct., 1977), pp. 629-630, Jstor.  
  53. On Euler's infinite product for the sine.  
    Eberlein, W. F.
    J. Math. Anal. Appl.  58  (1977), no. 1, 147--151, MathSciNet.  
  54. Quasinorms on an infinite product of Banach spaces, and the spaces generated by them. (Russian)
    Gribanov, Ju. I.; Matevosjan, R. H.
    Izv. Vys. Ucebn. Zaved. Matematika 1976, no. 9(172), 50--63, MathSciNet.  
  55. A theorem in infinite products.  
    Price, W. L. V.
    Proc. Cambridge Philos. Soc.  76  (1974), 191--193, MathSciNet.  
  56. Multiplicative integration of infinite products.
    Lovelady, David Lowell
    Canad. J. Math. 23 1971 692--698, MathSciNet.  
  57. Expansion of Analytic Functions in Infinite Series and Infinite Products with Application to Multiple Valued Functions  
    Alexander Arcache  
    The American Mathematical Monthly, Vol. 72, No. 8. (Oct., 1965), pp. 861-864, Jstor.  
  58. An application of a non-linear transform to infinite products.
    King, J. P.
    J. Math. and Phys. 44 1965 408--409, MathSciNet.  
  59. An infinite product.  
    Bouwkamp, C. J.
    Nederl. Akad. Wetensch. Proc. Ser. A 68=Indag. Math.  27  1965 40--46, MathSciNet.  
  60. On a class of infinite products.  
    Verblunsky, S.
    Proc. Cambridge Philos. Soc.  60  1964 847--854, MathSciNet.  
  61. Elementary Proofs of the Infinite Product for Sin Z and Allied Formulae (in Mathematical Notes)  
    K. Venkatachaliengar  
    The American Mathematical Monthly, Vol. 69, No. 6. (Jun. - Jul., 1962), pp. 541-545, Jstor.  
  62. Infinite Products for pi e and pi/e (in Mathematical Notes)  
    Z. A. Melzak  
    The American Mathematical Monthly, Vol. 68, No. 1. (Jan., 1961), pp. 39-41, Jstor.  
  63. The expansions of some infinite products.  
    Bellman, Richard
    Duke Math. J.  24  (1957), 353--356, MathSciNet.  
  64. On a class of infinite products whose value can be expressed in closed form.
    Mikolás, Miklós
    Acta Sci. Math. Szeged 16, (1955). 58--62, MathSciNet.  
  65. On a property of infinite products. (Russian)
    Slepencuk, K. M.
    Uspehi Mat. Nauk (N.S.) 10, (1955). no. 1(63), 151--153, MathSciNet.  
  66. The Coefficients of Certain Infinite Products  
    Morris Newman  
    Proceedings of the American Mathematical Society, Vol. 4, No. 3. (Jun., 1953), pp. 435-439, Jstor.  
  67. Representation of an analytic function of two variables by means of a double infinite product. (Russian)
    Slepencuk, K. M.
    Uspehi Matem. Nauk (N.S.) 8, (1953). no. 2(54), 139--152, MathSciNet.  
  68. On Ritt's representation of analytic functions as infinite products.
    Epstein, Bernard; Lehner, Joseph
    J. London Math. Soc. 27, (1952). 30--37, MathSciNet.  
  69. A Trigonometric Infinite Product  
    R. P. Agnew; R. J. Walker  
    The American Mathematical Monthly, Vol. 54, No. 4. (Apr., 1947), pp. 206-211, Jstor.  
  70. Expansion of Analytic Functions into Infinite Products  
    S. Borofsky  
    The Annals of Mathematics, 2nd Ser., Vol. 32, No. 1. (Jan., 1931), pp. 23-36, Jstor.  
  71. Summability of Infinite Products  
    George M. Robison  
    American Journal of Mathematics, Vol. 51, No. 4. (Oct., 1929), pp. 653-660, Jstor.  
  72. Discussions: Relating to Infinite Products for sin z and cos z (in Questions and Discussions)  
    M. B. Porter  
    The American Mathematical Monthly, Vol. 24, No. 5. (May, 1917), pp. 246-247, Jstor.  
  73. Infinite Products of Analytic Matrices  
    George D. Birkhoff  
    Transactions of the American Mathematical Society, Vol. 17, No. 3. (Jul., 1916), pp. 386-404, Jstor.  
  74. A Theorem for the Development of a Function as an Infinite Product  
    A. F. Carpenter  
    American Journal of Mathematics, Vol. 35, No. 1. (Jan., 1913), pp. 105-114, Jstor.  

 

 

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