| His first notebook was on hypergeometric series, continued fractions, singular moduli, and many branches of number theory. |
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| Later, a key idea was appropriated from the theory of lattice models in statistical mechanics, and the final calculations involved transformations of hypergeometric functions. |
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| Sampling without replacement from a large population is considered, and convergence of the emerging hypergeometric distributions to the binomial one is formally proved. |
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| The hypergeometric function and complete elliptic integrals. |
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