75.9 Euler’s Constant

Robert M. Young

doi:10.2307/3620251

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References

1. Brent, R.P. and MacMillan, G.M., Some new algorithms for high-precision calculation of Euler’s constant, Math, of Comp. 34 (1980), pp. 305–312.Google Scholar

2. Tims, S.R. and Tyrrell, J.A., Approximate evaluation of Euler’s constant, Math. Gazette vol. 55, No. 391 (1971), pp. 65–67.10.2307/3613323CrossRef Google Scholar

Crossref Citations

This article has been cited by the following publications. This list is generated based on data provided by Crossref.

DeTemple, Duane W. 1993. A Quicker Convergence to Euler's Constant. The American Mathematical Monthly, Vol. 100, Issue. 5, p. 468.

Alzer, H. 1998. Inequalities for the Gamma and Polygamma Functions. Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg, Vol. 68, Issue. 1, p. 363.

Negoi, Tănase 1999. 83.52 A faster convergence to Euler’s constant. The Mathematical Gazette, Vol. 83, Issue. 498, p. 487.

Elwasif, W.R. Plank, J.S. and Wolski, R. 2001. Data staging effects in wide area task farming applications. p. 122.

Yingying, Li 2002. On Euler's Constant—Calculating Sums by Integrals. The American Mathematical Monthly, Vol. 109, Issue. 9, p. 845.

Qiu, S.-L. and Vuorinen, M. 2004. Some properties of the gamma and psi functions, with applications. Mathematics of Computation, Vol. 74, Issue. 250, p. 723.

Hayden, Patrick Leung, Debbie Shor, Peter W. and Winter, Andreas 2004. Randomizing Quantum States: Constructions and Applications. Communications in Mathematical Physics, Vol. 250, Issue. 2, p. 371.

Guocong Song and Li, Y.G. 2005. Throughput and Delay Performance Comparison for Single-Carrier and Multicarrier Networks with Multiuser Diversity. Vol. 4, Issue. , p. 2141.

Sun, Weiwei and Wu, Jiming 2005. Newton-Cotes Formulae for the Numerical Evaluation of Certain Hypersingular Integrals. Computing, Vol. 75, Issue. 4, p. 297.

Chen *, Hongwei 2006. Bounds for a trigonometric sum — a case study of undergraduate math research. International Journal of Mathematical Education in Science and Technology, Vol. 37, Issue. 2, p. 215.

Krishnan, Rajesh and Starobinski, David 2006. Efficient clustering algorithms for self-organizing wireless sensor networks. Ad Hoc Networks, Vol. 4, Issue. 1, p. 36.

Hayden, Patrick Leung, Debbie W. and Winter, Andreas 2006. Aspects of Generic Entanglement. Communications in Mathematical Physics, Vol. 265, Issue. 1, p. 95.

Guocong Song and Ye Li 2006. Asymptotic throughput analysis for channel-aware scheduling. IEEE Transactions on Communications, Vol. 54, Issue. 10, p. 1827.

Taesang Yoo and Goldsmith, A. 2006. Capacity and power allocation for fading MIMO channels with channel estimation error. IEEE Transactions on Information Theory, Vol. 52, Issue. 5, p. 2203.

Musavian, Leila Nakhai, Mohammad Reza Dohler, Mischa and Aghvami, A. Hamid 2007. Effect of Channel Uncertainty on the Mutual Information of MIMO Fading Channels. IEEE Transactions on Vehicular Technology, Vol. 56, Issue. 5, p. 2798.

Sándor, József 2007. On generalized Euler constants and Schlömilch–Lemonnier type inequalities. Journal of Mathematical Analysis and Applications, Vol. 328, Issue. 2, p. 1336.

Starobinski, D. Xiao, W. Qin, X. and Trachtenberg, A. 2007. Near-Optimal Data Dissemination Policies for Multi-Channel, Single Radio Wireless Sensor Networks. p. 955.

Musavian, Leila and Aissa, Sonia 2007. Fundamental Capacity Limits of Spectrum-Sharing Channels with Imperfect Feedback. p. 1385.

Xu, Wei Zheng, Chunfang and Sankoff, David 2007. Paths and Cycles in Breakpoint Graph of Random Multichromosomal Genomes. Journal of Computational Biology, Vol. 14, Issue. 4, p. 423.

Sîntămărian, Alina 2007. A generalization of Euler’s constant. Numerical Algorithms, Vol. 46, Issue. 2, p. 141.

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75.9 Euler’s Constant

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