LIV. A new method of computing the sums of certain series

@article{LandenLIVAN,
  title={LIV. A new method of computing the sums of certain series},
  author={John Landen},
  journal={Philosophical Transactions of the Royal Society of London},
  pages={553 - 565}
}
  • John Landen
  • Philosophical Transactions of the Royal Society of London
As the improving the analytic art, especially any branch of it that relates to the summation of series, may, by facilitating computations, conduce to the improvement of several branches of science; 
On a connection between the polylogarithm function and the Bass diffusion model
  • P. Jodrá
  • Mathematics
  • Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2008
The purpose of this paper is to establish a connection between the polylogarithm function and a continuous probability distribution. We provide closed-form expressions in terms of the polylogarithmExpand
Multiple Landen values and the tribonacci numbers
Multiple Landen values (MLVs) are defined as iterated integrals on the interval $x\in[0,1]$ of the differential forms $A=d\log(x)$, $B=-d\log(1-x)$, $F=-d\log(1-\rho^2x)$ and $G=-d\log(1-\rho x)$,Expand
Tests of Conjectures on Multiple Watson Values
I define multiple Watson values (MWVs) as iterated integrals, on the interval $x\in[0,1]$, of the 6 differential forms $A=d\log(x)$, $B=-d\log(1-x)$, $T=-d\log(1-z_1x)$, $U=-d\log(1-z_2x)$,Expand