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In this paper we consider three-charge none-extremal black hole at the five dimensional N=2 supergravity. We study thermodynamics of the AdS5 black hole with three equal
charges $(q_{1} = q_{2} = q_{3} = q)$. We obtain Schr�odinger like equation and discuss the effective
potential. Then we consider the case of the perturbed dilaton field background and find that the odd coefficients of the wave function to be appear. Also we find that the higher derivative corrections have not any effect on the first and second even coefficients of the wave function.
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