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Re: How to solve an equation with Gamma function in it?

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  • Subject: [mg95147] Re: How to solve an equation with Gamma function in it?
  • From: Jens-Peer Kuska <kuska at>
  • Date: Wed, 7 Jan 2009 07:11:16 -0500 (EST)
  • Organization: Uni Leipzig
  • References: <gk1ro2$ou0$>
  • Reply-to: kuska at


Solve[] is for algebraic equations with symbolic solutions, your 
equations are not algebraic and you wish probably a numerical solution.
You meam FindRoot[] and not Solve[] but you have to set initial values
for the root search.


algebraic and
zatuch wrote:
> HI everyone,
> I've been trying to solve this equations set below with Gamma function
> in it.
> However, instead of the solutions, I got "The expression ((545-o)/(a-
> o))^b involves unknowns in more than one argument, so inverse
> functions cannot be used".
> Is there a way that Mathematica can get it solved? Could anyone by
> kindly enough to give me some advice?
> f[o_, a_, b_] := o + (a - o)*Gamma[1 + 1/b]
> g[o_, a_, b_] := e^(-(((545 - o)/(a - o))^b))
> h[o_, a_, b_] := (a - o)^2 * (Gamma[1 + 2/b] - (Gamma[1 + 1/b])^2)
> Solve[{f[o, a, b] == 557, g[o, a, b] == 0.5, h[o, a, b] == 131.9^2},
> {o, a, b}]

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