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We show explicitly that the sum over punctures for the three times derivativefor the Penner free energy $F_{0}^{3}$, given by D.A. Johnston, Phys.Rev.D 51(1995) is not correct. As a consequence, Eq.(21), the differentiated versionfor the renormalization group (RG) equation, is wrong. Also, his conclusionthat the differentiated version of the (RG) equation for the three-timesderivative of the free energy can be obtained from the higher genus (RG)equation can not be true. Finally, the differentiated version of the (RG)equation is extended to any $s$ derivative of the free energy $F_{0}$.

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