Bibliography for Geometric Series

short

 

  1. A sequence of generalizations of the geometric series
    Wunsche A.
    Journal of Computational and Applied Mathematics, v 153, n 1-2, Apr 1, 2003, p 533-534, Ingenta.  
  2. On the optimality of the geometric sequences for the m ray search.
    Gal, Shmuel
    Oper. Res. 50 (2002), no. 4, 745, MathSciNet.  
  3. Tension in generalized geometric sequences  
    Goldbloom Bloch, Bill
    College Math. J. 32 (2001), no. 1, 44--47, Jstor.  
  4. The power integral and the geometric series.
    Wiener, Joseph; Paredes, Miguel
    Missouri J. Math. Sci. 13 (2001), no. 1, 29--35, MathSciNet.  
  5. On a quasi geometric series distribution.
    Mishra, A.; Singh, S. K.
    Aligarh J. Statist. 20 (2000), 45--56, MathSciNet.  
  6. Geometric series bounds for the local errors of Taylor methods for linear n-th order ODEs.
    Neher, Markus
    Symbolic algebraic methods and verification methods (Dagstuhl, 1999), 183--193, Springer, Vienna, 2001, MathSciNet.  
  7. The Geometric Series in Calculus  
    Andrews, G. E.
    American Mathematical Monthly, v 105, n 1, 1998, p 36--40, Jstor.
  8. A curious problem involving geometric series.
    Filipponi, Piero
    Notes Number Theory Discrete Math. 3 (1997), no. 1, 35--40, MathSciNet.  
  9. Model conversion of continuous-time uncertain systems via the interval geometric-series method
    Shieh, Leang-San; Zou, Xiang; Tsai, Jason S.H.
    IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, v 43, n 10, Oct, 1996, p 851-854, Compendex.  
  10. Model conversions of uncertain linear systems using a scaling and squaring geometric series method
    Shieh, Leang S.; Gu, Jingfong; Tsai, Jason S.H.
    Circuits, Systems, and Signal Processing, v 14, n 4, 1995, p 445-463, Compendex.  
  11. Proof without Words: Geometric Series  
    Sunday A. Ajose; Roger B. Nelsen  
    Mathematics Magazine, Vol. 67, No. 3. (Jun., 1994), p. 230, Jstor.  
  12. Partial period autocorrelations of geometric sequences.
    Klapper, Andrew M.; Goresky, Mark
    IEEE Trans. Inform. Theory 40 (1994), no. 2, 494--502, MathSciNet.  
  13. A Law of the Iterated Logarithm for Random Geometric Series  
    Anton Bovier; Pierre Picco  
    The Annals of Probability, Vol. 21, No. 1. (Jan., 1993), pp. 168-184, Jstor.  
  14. Proof without Words: Geometric Series (in Notes)  
    Elizabeth M. Markham  
    Mathematics Magazine, Vol. 66, No. 4. (Oct., 1993), p. 242, Jstor.  
  15. Summing geometric series recursively
    Mathews, John H.
    Math. Comput. Ed. 27 (1993), no. 2, 125--134, MathSciNet.  
  16. Summing Geometric Series by Holding a Tournament (in Classroom Capsules)  
    Vincent P. Schielack, Jr.  
    The College Mathematics Journal, Vol. 23, No. 3. (May, 1992), pp. 210-211, Jstor.  
  17. The distribution functions of certain random geometric series concerning intersymbol interference.
    Smith, Peter J.
    IEEE Trans. Inform. Theory 37 (1991), no. 6, 1657--1662, MathSciNet.  
  18. Fonctions entières prenant des valeurs presque entières aux points d'une progression géométrique. (French) [Entire functions assuming almost integer values in a geometric sequence]
    Bézivin, Jean-Paul
    Monatsh. Math. 110 (1990), no. 1, 3--13, MathSciNet.  
  19. Proof without Words: Differentiated Geometric Series (in Notes)  
    Roger B. Nelsen  
    Mathematics Magazine, Vol. 62, No. 5. (Dec., 1989), pp. 332-333, Jstor.  
  20. On entire functions assuming integer values in a geometric sequence  
    Wallisser, R. V.
    Théorie des nombres (Quebec, PQ, 1987), 981--989, de Gruyter, Berlin, 1989, MathSciNet.  
  21. Généralisation de la série géométrique et applications. (French) [Generalization of geometric series, and applications]
    Dubeau, François; Savoie, Jean
    Ann. Sci. Math. Québec 11 (1987), no. 2, 305--320, MathSciNet.  
  22. Geometric Series and a Probability Problem (in Notes)  
    Curtis Cooper  
    The American Mathematical Monthly, Vol. 93, No. 2. (Feb., 1986), pp. 126-127, Jstor.  
  23. Über ganze Funktionen, die in einer geometrischen Folge ganze Werte annehmen. (German) [On entire functions assuming integer values in a geometric sequence]
    Wallisser, Rolf
    Monatsh. Math. 100 (1985), no. 4, 329--335, MathSciNet.  
  24. Geometric Series in Incomplete Normed Algebras (in Notes)  
    R. Fuster; A. Marquina  
    The American Mathematical Monthly, Vol. 91, No. 1. (Jan., 1984), pp. 49-51, Jstor.  
  25. Closed-Form Formulas for Quasi-Geometric Series  
    Arthur C. Segal  
    The Two-Year College Mathematics Journal, Vol. 14, No. 2. (Mar., 1983), pp. 118-122, Jstor.  
  26. A regular summability method which sums the geometric series to its proper value in the whole complex plane
    Tomm, Ludwig
    Canad. Math. Bull. 26 (1983), no. 2, 179--180, MathSciNet.  
  27. A generalisation of geometric series distribution.
    Mishra, Amarendra
    J. Bihar Math. Soc. 6 (1982), 18--22, MathSciNet.  
  28. Universelle Approximation durch Riesz-Transformierte der geometrischen Reihe. (German) [Universal approximation by using the Riesz transform of the geometric series]
    Faulstich, Karin; Luh, Wolfgang; Tomm, Ludwig
    Manuscripta Math. 36 (1981/82), no. 3, 309--321, MathSciNet.  
  29. An Investment Approach to Geometric Series (in Classroom Capsules)  
    Robert Donaghey; Warren Gordon  
    The Two-Year College Mathematics Journal, Vol. 11, No. 2. (Mar., 1980), pp. 120-121, Jstor.  
  30. Zipf's Law
    Philip M. Tuchinsky
    Consortium for Mathematics and Its Applications, (1980) Lexington, MA, COMAP.  
  31. A geometric series approach for approximation of transition matrices in quadratic synthesis.
    Shieh, L. S.; Wai, W. B.; Yates, R. E.
    Trans. ASME Ser. G J. Dynamic Systems Measurement Control 102 (1980), no. 3, 193--197, MathSciNet.  
  32. Geometric Series on the Gridiron (in Mathematical)  
    Andris Niedra  
    The Two-Year College Mathematics Journal, Vol. 9, No. 1. (Jan., 1978), pp. 18-20, Jstor.  
  33. A Note on the Geometric Series as a Species Frequency Model (in Miscellanea)  
    Steinar Engen  
    Biometrika, Vol. 62, No. 3. (Dec., 1975), pp. 697-699, Jstor.  
  34. A certain generalization of the geometric series. (Bulgarian)  
    Kondev, N. M.
    Godisnik Visvs. Tehn. Ucebn. Zaved. Mat.  8  (1972), no. 2, 45--48 (1973), MathSciNet.  
  35. Elementary Geometric/Arithmetic Series and Early Production Theory  
    Peter J. Lloyd  
    The Journal of Political Economy, Vol. 77, No. 1. (Jan. - Feb., 1969), pp. 21-34, Jstor.  
  36. New Geometric Representation of an Old Infinite Series (in Classroom Notes)  
    A. Feingold  
    The American Mathematical Monthly, Vol. 73, No. 5. (May, 1966), pp. 528-531, Jstor.  
  37. Cardinality of Level Sets of Rademacher Series Whose Coefficients form a Geometric Progression  
    W. A. Beyer  
    Proceedings of the American Mathematical Society, Vol. 13, No. 4. (Aug., 1962),  pp. 579-584, Jstor.  
  38. On a Generlization of the Geometric Series (in Mathematical Notes)  
    M. S. Klamkin  
    The American Mathematical Monthly, Vol. 64, No. 2. (Feb., 1957), pp. 91-93, Jstor.  
  39. On the arithmetico-geometric series
    Carr, A. J.
    Math. Gaz. 41 (1957), 44--46, MathSciNet.  
  40. Mapping properties of Cesàro sums of order two of the geometric series.
    Rauch, S. E.
    Pacific J. Math. 4, (1954). 109--121, MathSciNet.  
  41. The partial sums of second order of the geometric series.
    Schweitzer, M.
    Duke Math. J. 18, (1951). 527--533, MathSciNet.  
  42. A Generalization of the Geometric Series  
    Robert Stalley  
    The American Mathematical Monthly, Vol. 56, No. 5. (May, 1949), pp. 325-327, Jstor.  
  43. On certain transformations in generalized hyper-geometric series.
    Bose, B. N.
    Bull. Calcutta Math. Soc. 36, (1944). 74--79, MathSciNet.  
  44. Geometric Examples of Convergent Series  
    C. A. Barnhart  
    National Mathematics Magazine, Vol. 17, No. 4. (Jan., 1943), pp. 159-162, Jstor.  
  45. Comments Concerning "A Note on Observed Geometric Series" by A. B. Soble in the April, 1940 Issue  
    William Dowell Baten; A. B. Soble  
    National Mathematics Magazine, Vol. 16, No. 2. (Nov., 1941), pp. 62-63, Jstor.  
  46. Geometric Discussion of the Absolute Convergence of a Series with Complex Terms  
    George H. Ling  
    The Annals of Mathematics, 2nd Ser., Vol. 5, No. 3. (Apr., 1904), pp. 151-152, Jstor.  
  47. Note on Integral and Integro-Geometric Series  
    Edward Drake Roe  
    The Annals of Mathematics, Vol. 11, No. 1/6. (1896 - 1897), pp. 184-194, Jstor.  

 

 Return to the Complex Analysis Project

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) John H. Mathews 2003