Research Article

A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant

Volume: 3 Number: 1 March 1, 2020
EN

A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant

Abstract

In this article, we give a new asymptotic series and some estimates for a sequence that converges to Euler-Mascheroni's constant.

Keywords

References

  1. M. Abramowitz, I. A. Stegun: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover Publications, 1972.
  2. G. D. Anderson, R. W. Barnard, M. K. Vamanamurthy and M. Vuorinen: Inequalities for zero-balanced hypergeometric functions, Trans. Amer. Math. Soc. 347, (1995), 1713-1723.
  3. C. P. Chen, L. Lin: Remarks on asymptotic expansions for the gamma function, Appl. Math. Lett. 25 (2012), 2322-2326.
  4. V. G. Cristea: Asymptotic series and estimates of a convergence to Euler-Mascheroni constant, J. Sci. Arts, 14 (2) (27)(2014), 143-146.
  5. V. G. Cristea, C. Mortici: Latter research on Euler-Mascheroni constant, Contemp. Anal. Appl. Math. 2 (1) (2014),108-115.
  6. D. W. DeTemple:A quicker convergences to Euler’s constant, Amer. Math. Monthly, 100 (5) (1993) 468-470.
  7. D.W. DeTemple: A geometric look at sequences that convergence to Euler’s constant, College Math. J., 37 (2006) 128-131.
  8. R. Graham, D. Knuth and O. Patashnik: Binomial Coefficients. Concrete Mathematics (2nd ed.). AddisonWesley. 153-256, 1994, ISBN 0-201-55802-5.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

March 1, 2020

Submission Date

August 21, 2019

Acceptance Date

January 2, 2020

Published in Issue

Year 2020 Volume: 3 Number: 1

APA
Crıstea, V. G. (2020). A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant. Constructive Mathematical Analysis, 3(1), 1-8. https://doi.org/10.33205/cma.608927
AMA
1.Crıstea VG. A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant. CMA. 2020;3(1):1-8. doi:10.33205/cma.608927
Chicago
Crıstea, Valentin Gabriel. 2020. “A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant”. Constructive Mathematical Analysis 3 (1): 1-8. https://doi.org/10.33205/cma.608927.
EndNote
Crıstea VG (March 1, 2020) A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant. Constructive Mathematical Analysis 3 1 1–8.
IEEE
[1]V. G. Crıstea, “A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant”, CMA, vol. 3, no. 1, pp. 1–8, Mar. 2020, doi: 10.33205/cma.608927.
ISNAD
Crıstea, Valentin Gabriel. “A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant”. Constructive Mathematical Analysis 3/1 (March 1, 2020): 1-8. https://doi.org/10.33205/cma.608927.
JAMA
1.Crıstea VG. A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant. CMA. 2020;3:1–8.
MLA
Crıstea, Valentin Gabriel. “A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant”. Constructive Mathematical Analysis, vol. 3, no. 1, Mar. 2020, pp. 1-8, doi:10.33205/cma.608927.
Vancouver
1.Valentin Gabriel Crıstea. A New Asymptotic Series and Estimates Related to Euler Mascheroni Constant. CMA. 2020 Mar. 1;3(1):1-8. doi:10.33205/cma.608927