# Positivity of rational functions and their diagonals

@article{Straub2015PositivityOR, title={Positivity of rational functions and their diagonals}, author={Armin Straub and Wadim Zudilin}, journal={J. Approx. Theory}, year={2015}, volume={195}, pages={57-69} }

The problem to decide whether a given rational function in several variables is positive, in the sense that all its Taylor coefficients are positive, goes back to Szeg? as well as Askey and Gasper, who inspired more recent work. It is well known that the diagonal coefficients of rational functions are D -finite. This note is motivated by the observation that, for several of the rational functions whose positivity has received special attention, the diagonal terms in fact have arithmetic… CONTINUE READING

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