# 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} }

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;

#### 3 Citations

On a connection between the polylogarithm function and the Bass diffusion model

- 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 polylogarithm… Expand

Multiple Landen values and the tribonacci numbers

- Physics, Mathematics
- 2015

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

- Physics, Mathematics
- 2015

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