Differential transcendence criteria for second-order linear difference equations and elliptic hypergeometric functions
Author:
Publisher
Cellule MathDoc/CEDRAM
Subject
General Mathematics
Link
https://jep.centre-mersenne.org/item/10.5802/jep.143.pdf
Reference24 articles.
1. [Arr17] Arreche, Carlos E. Computation of the difference-differential Galois group and differential relations among solutions for a second-order linear difference equation, Commun. Contemp. Math., Volume 19 (2017) no. 6, 1650056, 42 pages
2. [AS17] Arreche, Carlos E.; Singer, Michael F. Galois groups for integrable and projectively integrable linear difference equations, J. Algebra, Volume 480 (2017), pp. 423-449
3. [DHR18] Dreyfus, Thomas; Hardouin, Charlotte; Roques, Julien Hypertranscendence of solutions of Mahler equations, J. Eur. Math. Soc. (JEMS), Volume 20 (2018) no. 9, pp. 2209-2238
4. [DHR21] Dreyfus, Thomas; Hardouin, Charlotte; Roques, Julien Functional relations of solutions of q-difference equations, Math. Z. (2021) (doi:10.1007/s00209-020-02669-4)
5. [DHRS18] Dreyfus, Thomas; Hardouin, Charlotte; Roques, Julien; Singer, Michael F. On the nature of the generating series of walks in the quarter plane, Invent. Math., Volume 213 (2018) no. 1, pp. 139-203
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1. Almost-simple affine difference algebraic groups;Mathematische Zeitschrift;2021-02-04
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