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The zero-field partition function of two-dimensional nearest neighbor Isingmodels of square lattices is derived in terms of the generalized hypergeometricseries by evaluating the integral in the exact solution of Onsager. Anapproximate equation for the partition function in terms of Chebyshevpolynomials is also provided.

Partition functions for two-dimensional Ising models using Generalised Hypergeometric series and Chebyshev polynomials