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Asymptotics of Multivariate Generating Series

Hello,

I am new to Sage and I need to find the asymptotc form of the series coefficients of the following generating function:

GF (t,x,z) = (1 + tx - txz)/(1 - t - t^2x - txz + t^2xz)

Please help me.

Thanks a lot. Mohammad

Asymptotics of Multivariate Generating Series

Hello,

I am new to Sage and I need to find the asymptotc asymptotic form of the the series coefficients of the following generating function:

GF (t,x,z)

F(t,x,z) = (1 + tx t*x - txz)/(1 t*x*z)/(1 - t - t^2x t^2*x - txz t*x*z + t^2xz)

Please help me.

Thanks a lot. Mohammad

t^2*x*z)

Asymptotics of Multivariate Generating Series

I am new to Sage and I need to find the asymptotic form of the series coefficients of the following generating function:

F(t,x,z) = (1 + t*x - t*x*z)/(1 - t - t^2*x - t*x*z + t^2*x*z)

In other words, in the Taylor expansion of the function in terms of the variable t, I am interested in the asymptotic form of the coefficient of the term t^Lx^Nz^B at the limit of large L, N, and B.

Asymptotics of Multivariate Generating Series

I am new to Sage and I need to find the asymptotic form of the series coefficients of the following generating function:

F(t,x,z) = (1 + t*x - t*x*z)/(1 - t - t^2*x - t*x*z + t^2*x*z)

In other words, in the Taylor expansion of the function in terms of of the variable t, $t$, I am interested in the asymptotic form of the coefficient coefficient of the term t^Lx^Nz^B at $t^L\ x^N\ z^B$ in the limit of large L, N, $L$, $N$, and B.$B$.