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During his life, Cox published two articles. He expanded on the work Niels Nörlund had done on Euler polynomials as a solution to a particular difference equation; in particular, Cox introduced generalized Euler polynomials and the generalized Boole summation formula as an expansion on the Boole summation formula. He also studied a number of specialized polynomials as solutions for certain differential equations.
In his other paper, published in 1947, he mathematically compared three systems of grading.