Scaling function for the velocity correlator in the theory of isotropic developed turbulence

The scaling function is calculated in the framework of the renormalization group approach to the theory of developed turbulence for the velocity correlator to the second order in the -expansion.Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 164, pp. 3–9, 1987.The author thanks L. Ts. Adzhemyan, A. N. Vasil'ev, and M. Gnatich for helpful discussions.