Research Article

Approximation properties related to the Bell polynomials

Volume: 4 Number: 2 June 1, 2021
EN

Approximation properties related to the Bell polynomials

Abstract

The authors provide a complete asymptotic expansion for a class of functions in terms of the complete Bell polynomials. In particular, they obtain known asymptotic expansions of some Keller type sequences.

Keywords

References

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  2. J. Sandor: On certain limits related to the number e, Libertas Math., 20 (2000) 155–159, dedicated to Emeritus Professor Corneliu Constantinescu on the occasion of his 70th birthday.
  3. S. R. Finch: Mathematical constants, Vol. 94 of Encyclopedia of Mathematics and its Applications, Cambridge University Press, Cambridge (2003).
  4. H. J. Brothers, J. A. Knox: New closed-form approximations to the logarithmic constant e, Math. Intelligencer, 20 (4) (1998), 25–29.
  5. H. Alzer, C. Berg: Some classes of completely monotonic functions, Ann. Acad. Sci. Fenn. Math., 27 (2) (2002), 445–460.
  6. C. Mortici, Y. Hu: On an infinite series for (1 + 1=x)x (Jun 2014). http://arxiv.org/abs/1406.7814v1
  7. Y. Hu, C. Mortici: On the Keller limit and generalization, J. Inequal. Appl., 2016 (2016), 97.
  8. J. Riordan: An introduction to combinatorial analysis, Wiley Publications in Mathematical Statistics, John Wiley & Sons, Inc., New York; Chapman & Hall, Ltd., London (1958).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Ioan Gavrea This is me
Romania

Publication Date

June 1, 2021

Submission Date

January 14, 2021

Acceptance Date

February 27, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

APA
Gavrea, I., & Ivan, M. (2021). Approximation properties related to the Bell polynomials. Constructive Mathematical Analysis, 4(2), 253-259. https://doi.org/10.33205/cma.861342
AMA
1.Gavrea I, Ivan M. Approximation properties related to the Bell polynomials. CMA. 2021;4(2):253-259. doi:10.33205/cma.861342
Chicago
Gavrea, Ioan, and Mircea Ivan. 2021. “Approximation Properties Related to the Bell Polynomials”. Constructive Mathematical Analysis 4 (2): 253-59. https://doi.org/10.33205/cma.861342.
EndNote
Gavrea I, Ivan M (June 1, 2021) Approximation properties related to the Bell polynomials. Constructive Mathematical Analysis 4 2 253–259.
IEEE
[1]I. Gavrea and M. Ivan, “Approximation properties related to the Bell polynomials”, CMA, vol. 4, no. 2, pp. 253–259, June 2021, doi: 10.33205/cma.861342.
ISNAD
Gavrea, Ioan - Ivan, Mircea. “Approximation Properties Related to the Bell Polynomials”. Constructive Mathematical Analysis 4/2 (June 1, 2021): 253-259. https://doi.org/10.33205/cma.861342.
JAMA
1.Gavrea I, Ivan M. Approximation properties related to the Bell polynomials. CMA. 2021;4:253–259.
MLA
Gavrea, Ioan, and Mircea Ivan. “Approximation Properties Related to the Bell Polynomials”. Constructive Mathematical Analysis, vol. 4, no. 2, June 2021, pp. 253-9, doi:10.33205/cma.861342.
Vancouver
1.Ioan Gavrea, Mircea Ivan. Approximation properties related to the Bell polynomials. CMA. 2021 Jun. 1;4(2):253-9. doi:10.33205/cma.861342

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