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20122025
most citedComputing the differential Galois group of a one-parameter family of second order linear differential equations

11 citations · 12 across the 5 of their papers we have counts for

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Showing 2018Show all

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math.NT2018

Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions

Carlos E. Arreche, Thomas Dreyfus, Julien Roques

We develop general criteria that ensure that any non-zero solution of a given second-order difference equation is differentially transcendental, which apply uniformly in particular…