Have a personal or library account? Click to login

A Note on the Asymptotic Behavior of the Distribution Function of a General Sequence

Open Access
|Jan 2021

References

  1. [1] M. Abramowitz and I.A. Stegun (eds.), Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover Publications, New York, 1972.
  2. [2] G.E. Andrews, The Theory of Partitions, Cambridge University Press, Cambridge, 1984.10.1017/CBO9780511608650
  3. [3] E.T. Bell, Exponential numbers, Amer. Math. Monthly 41 (1934), no. 7, 411–419.
  4. [4] E.T. Bell, Exponential polynomials, Ann. of Math. (2) 35 (1934), no. 2, 258–277.
  5. [5] N.G. de Bruijn, Asymptotic Methods in Analysis, Dover Publications, New York, 1981.
  6. [6] R. Farhadian and R. Jakimczuk, Notes on a general sequence, Ann. Math. Sil. 34 (2020), no. 2, 193–202.
  7. [7] R. Jakimczuk, An observation on the Cipolla’s expansion, Mathematical Sciences. Quarterly Journal 2 (2008), no. 2, 219–222.
  8. [8] R. Jakimczuk, Functions of slow increase and integer sequences, J. Integer Seq. 13 (2010), no. 1, Article 10.1.1, 14 pp.
  9. [9] R. Jakimczuk, Integer sequences, functions of slow increase, and the Bell numbers, J. Integer Seq. 14 (2011), no. 5, Article 11.5.8, 11 pp.
  10. [10] J. Rey Pastor, P. Pi Calleja, and C.A. Trejo, Análisis Matemático, Vol. 1, Editorial Kapelusz, Buenos Aires, 1969.
DOI: https://doi.org/10.2478/amsil-2020-0027 | Journal eISSN: 2391-4238 | Journal ISSN: 0860-2107
Language: English
Page range: 44 - 54
Submitted on: Jun 14, 2020
Accepted on: Dec 29, 2020
Published on: Jan 26, 2021
Published by: University of Silesia in Katowice, Institute of Mathematics
In partnership with: Paradigm Publishing Services
Publication frequency: 2 times per year

© 2021 Reza Farhadian, Rafael Jakimczuk, published by University of Silesia in Katowice, Institute of Mathematics
This work is licensed under the Creative Commons Attribution 4.0 License.