(Ga;Mn)As is a very extensively studied diluted magnetic semiconductor. This type ofrnmaterials bridge over the incompatibilities in metal-semiconductor in-terfaces in electron-rnics components and which will have an enormous potential for future spintronics appli-rncations, where both charge and spin degrees of freedom can be employed simultaneously.rnIn this work an approach based on the green's function to the Ruderman-Kittel-Kasuya-rnYosida quantum spin model is used to calculate the magnetic excitation spectrum in thernwidely studied (Ga1À€€xMnx)As diluted magnetic semiconductors. The resulting magneticrnexcitation spectrum is then used to estimate The total number of excited magnons, mag-rnnetization, and Curie temperature of (Ga;Mn)As diluted magnetic semiconductor. Thernequation of motion for the magnon Greens function within Tyablikov approximation isrnsolved numerically for systems in which S is larger than rn1/2