Re: [math-fun] Bale problem's
On Sat, Mar 10, 2018 at 5:50 PM, françois mendzina essomba2 via math-fun < math-fun@mailman.xmission.com> wrote:
Hello
In an unfortunate attempt to solve zeta (2n + 1), I became interested in certain functions.
I was able to find:
cos (x / sqrt (2)) * cosh (x / sqrt (2)) = sum ((- 1) ^ n * x ^ (4 * n) / (4 * n)!,n=0..infinity)
but I am lost to the next sum.
sum ((- 1) ^ n * x ^ (3 * n) / (3 * n)!,n=0..infinity) = ???
Do you know the function returned by this sum?
Maple gives: (1/3)*exp(-x)+(2/3)*exp((1/2)*x)*cos((1/2)*3^(1/2)*x)
thank you ! Le Dimanche 11 mars 2018 0h24, W. Edwin Clark <wclark@mail.usf.edu> a écrit : On Sat, Mar 10, 2018 at 5:50 PM, françois mendzina essomba2 via math-fun <math-fun@mailman.xmission.com> wrote: Hello In an unfortunate attempt to solve zeta (2n + 1), I became interested in certain functions. I was able to find: cos (x / sqrt (2)) * cosh (x / sqrt (2)) = sum ((- 1) ^ n * x ^ (4 * n) / (4 * n)!,n=0..infinity) but I am lost to the next sum. sum ((- 1) ^ n * x ^ (3 * n) / (3 * n)!,n=0..infinity) = ??? Do you know the function returned by this sum? Maple gives: (1/3)*exp(-x)+(2/3)*exp((1/2)*x)*cos((1/2)*3^(1/2)*x)
participants (2)
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françois mendzina essomba2 -
W. Edwin Clark