Cardy-Verlinde Formula for an Axially Symmetric Dilaton-axion Black Hole

It is shown that the Bekenstein-Hawking entropy of an axially symmetric dilaton-axion black hole can be expressed as a Cardy-Verlinde formula. By utilizing first order correction in the Bekenstein-Hawking entropy we find the modified the expressions for the Casimir energy and pure extensive energy. The first order correction to the Cardy-Verlinde formula in the context of dilaton-axion black hole are obtained with the use of modified cosmic and pure extensive energies.