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
- M. Abramowitz, I. A. Stegun: Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, New York: Dover Publications, 1972.
- 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.
- C. P. Chen, L. Lin: Remarks on asymptotic expansions for the gamma function, Appl. Math. Lett. 25 (2012), 2322-2326.
- V. G. Cristea: Asymptotic series and estimates of a convergence to Euler-Mascheroni constant, J. Sci. Arts, 14 (2) (27)(2014), 143-146.
- V. G. Cristea, C. Mortici: Latter research on Euler-Mascheroni constant, Contemp. Anal. Appl. Math. 2 (1) (2014),108-115.
- D. W. DeTemple:A quicker convergences to Euler’s constant, Amer. Math. Monthly, 100 (5) (1993) 468-470.
- D.W. DeTemple: A geometric look at sequences that convergence to Euler’s constant, College Math. J., 37 (2006) 128-131.
- 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
Authors
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
