Chaos in a generalized Euler’s three-body problem
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DOI: 10.1088/1361-6382/ac1be7
Abstract: Euler’s three-body problem is the problem of solving for the motion of a particle moving in a Newtonian potential generated by two point sources fixed in space. This system is integrable in the Liouville sense.… read more here.
Keywords: euler three; generalized euler; body problem; problem ... See more keywords
Optimal bounds for the generalized Euler–Mascheroni constant
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DOI: 10.1186/s13660-018-1711-1
Abstract: We provide several sharp upper and lower bounds for the generalized Euler–Mascheroni constant. As consequences, some previous bounds for the Euler–Mascheroni constant are improved. read more here.
Keywords: bounds generalized; optimal bounds; mascheroni constant; euler mascheroni ... See more keywords
LEHMER'S GENERALIZED EULER NUMBERS IN HYPERGEOMETRIC FUNCTIONS
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DOI: 10.4134/jkms.j180227
Abstract: . In 1935, D. H. Lehmer introduced and investigated generalized Euler numbers W n , defined by where ω is a complex root of x 2 + x +1 = 0. In 1875, Glaisher gave… read more here.
Keywords: numbers hypergeometric; euler numbers; bernoulli euler; generalized euler ... See more keywords
On a general inequality related to the generalized-Euler-constant function
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DOI: 10.7153/jmi-2020-14-38
Abstract: Let γ(z) be the generalized-Euler-constant function. In this paper, we establish a general inequality related to γ(z) , which contains a result due to Chen and Han as a special case. We also obtain an… read more here.
Keywords: general inequality; constant function; generalized euler; euler constant ... See more keywords