Sequences that converge quickly to a generalized Euler constant
The purpose of this paper is to give some sequences that converge quickly to a generalized Euler constant, i.e. the limit of the sequence. (1/a(s) + 1/(a + 1)(s) + ... + 1/(a + n - 1)(s) - 1/1 -s((a + n - 1)(1-s) - a(1-s)))(n is an element of N), where a is an element of (0,+infinity) and s is an element of (0, 1). (C) 2010 Elsevier Ltd. All rights reserved.
sequence convergence generalized euler constant ioachimescu's constant bernoulli number euler-maclaurin summation formula