Bibliography for Infinite Products

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  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. 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.  
  4. A nowhere differentiable continuous function constructed by infinite products   
    Wen, Liu   
    Amer. Math. Monthly 109 (2002), no. 4, 378--380, Jstor.  
  5. Weak infinite products of Blaschke products.  
    Izuchi, Keiji
    Proc. Amer. Math. Soc.  129  (2001),  no. 12, 3611--3618 (electronic), Jstor.  
  6. Trench, William F.
    Conditional convergence of infinite products.  
    Amer. Math. Monthly  106  (1999),  no. 7, 646--651, Jstor.  
  7. On convergence of infinite products.  
    Kumari, Arti
    Math. Ed. (Siwan)  32  (1998),  no. 3, 158--159, MathSciNet.  
  8. Some remarks about the convergence of infinite products. (Spanish)  
    Takeuchi, Yu
    Lect. Mat.  18  (1997),  no. 2, 123--130, MathSciNet.  
  9. 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.  
  10. 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.  
  11. An interesting infinite product.  
    Borwein, Peter; Dykshoorn, Willem
    J. Math. Anal. Appl.  179  (1993),  no. 1, 203--207, MathSciNet.  
  12. 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.  
  13. Infinite product factorizations of analytic functions.
    Knopfmacher, Arnold
    J. Math. Anal. Appl. 162 (1991), no. 2, 526--536, MathSciNet.  
  14. 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.  
  15. 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.  
  16. 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.  
  17. Some Infinite Product Identities  
    Richard Blecksmith; John Brillhart; Irving Gerst  
    Mathematics of Computation, Vol. 51, No. 183. (Jul., 1988), pp. 301-314, Jstor.  
  18. 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.  
  19. On certain infinite products. II.
    Toyoizumi, Masao
    Mathematika 31 (1984), no. 1, 1--11, MathSciNet.  
  20. 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.  
  21. 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.  
  22. Infinite products.  
    Withers, C. S.
    Math. Chronicle  10  (1981), no. 1-2, 99--103, MathSciNet.  
  23. An Infinite Product for e (in Mathematical Notes)  
    Nicholas Pippenger  
    The American Mathematical Monthly, Vol. 87, No. 5. (May, 1980), p. 391, Jstor.  
  24. 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.  
  25. 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.  
  26. An infinite product. (Russian)
    Dzrbasjan, M. M.
    Dokl. Akad. Nauk SSSR 240 (1978), no. 3, 518--521, MathSciNet.  
  27. 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.  
  28. On Euler's infinite product for the sine.  
    Eberlein, W. F.
    J. Math. Anal. Appl.  58  (1977), no. 1, 147--151, MathSciNet.  
  29. A theorem in infinite products.  
    Price, W. L. V.
    Proc. Cambridge Philos. Soc.  76  (1974), 191--193, MathSciNet.  
  30. Multiplicative integration of infinite products.
    Lovelady, David Lowell
    Canad. J. Math. 23 1971 692--698, MathSciNet.  
  31. 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.  
  32. 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.  
  33. 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.  
  34. The expansions of some infinite products.  
    Bellman, Richard
    Duke Math. J.  24  (1957), 353--356, MathSciNet.  
  35. 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.  
  36. The Coefficients of Certain Infinite Products  
    Morris Newman  
    Proceedings of the American Mathematical Society, Vol. 4, No. 3. (Jun., 1953), pp. 435-439, Jstor.  
  37. On Ritt's representation of analytic functions as infinite products.
    Epstein, Bernard; Lehner, Joseph
    J. London Math. Soc. 27, (1952). 30--37, MathSciNet.  
  38. A Trigonometric Infinite Product  
    R. P. Agnew; R. J. Walker  
    The American Mathematical Monthly, Vol. 54, No. 4. (Apr., 1947), pp. 206-211, Jstor.  
  39. 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.  
  40. Summability of Infinite Products  
    George M. Robison  
    American Journal of Mathematics, Vol. 51, No. 4. (Oct., 1929), pp. 653-660, Jstor.  
  41. 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.  
  42. Infinite Products of Analytic Matrices  
    George D. Birkhoff  
    Transactions of the American Mathematical Society, Vol. 17, No. 3. (Jul., 1916), pp. 386-404, Jstor.  
  43. 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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