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Apr 18, 2017, 6:11:16 PM4/18/17

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Per

https://math.stackexchange.com/questions/2230651/a-conjectured-continued-

fraction-for-phi-phi

integrating from 0 to infinity of the function:

e^(-x*(2+(1+sqrt(5))/2))*(cosh(x)+sqrt(5)*sinh(x))^((1+sqrt(5))/2)

is supposed to be:

(phi^phi - 1/phi)/2

where phi =(sqrt(5)+1)/2

Maxima can't find this result symbolically, but numerical integration

gives the expected result.

What about other computer algebra systems?

https://math.stackexchange.com/questions/2230651/a-conjectured-continued-

fraction-for-phi-phi

integrating from 0 to infinity of the function:

e^(-x*(2+(1+sqrt(5))/2))*(cosh(x)+sqrt(5)*sinh(x))^((1+sqrt(5))/2)

is supposed to be:

(phi^phi - 1/phi)/2

where phi =(sqrt(5)+1)/2

Maxima can't find this result symbolically, but numerical integration

gives the expected result.

What about other computer algebra systems?

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