Differential transcendence of solutions of difference Riccati equations and Tietze's treatment

DOI10.1016/J.JALGEBRA.2018.06.008zbMath1415.12006arXiv1707.08702OpenAlexW2742041832MaRDI QIDQ1663508

Seiji Nishioka

Publication date: 21 August 2018

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.08702

zbMATH Keywords

differential algebradifference algebrahypertranscendence\(q\)-Airy equationdifferential transcendencetranscendental transcendence

Mathematics Subject Classification ID

Difference equations, scaling ((q)-differences) (39A13) Differential algebra (12H05) General theory of difference equations (39A05) Difference algebra (12H10)

Related Items (1)

Differential transcendence of solutions for 𝑞-difference equation of Ramanujan function

Cites Work

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• Galois groups for integrable and projectively integrable linear difference equations
• Transcendence of solutions of \(q\)-Painlevé equation of type \({A_7^{(1)}}\)
• Differential Galois theory of linear difference equations
• Galois theory of difference equations
• Hypertranscendence of solutions of Mahler equations
• Difference algebra
• Hypergeometric solutions to the q-Painleve equation of type $$ _ + _ ^{\prime })}^ $$

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