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Employing heuristic susceptibility equations in conjunction with thewell-known critical exponents, the magnetization and partition function fortwo-dimensional nearest neighbour Ising models are formulated in terms of theGauss hypergeometric functions. The isomorphism existing between theBragg-Williams approximation and the exact solution of Onsager is pointed out.The precise manner in which the critical exponents influence the partitionfunctions is pointed out.

Partition functions of two-dimensional Ising models -- A perspective from Gauss hypergeometric functions