Differential Galois Theory of Linear Difference Equations Export

@misc{citeulike:2214247, abstract = {We present a Galois theory of difference equations designed to measure the differential dependencies among solutions of linear difference equations. With this we are able to reprove Hoelder's Theorem that the Gamma function satisfies no polynomial differential equation and are able to give general results that imply, for example, that no differential relationship holds among solutions of certain classes of q-hypergeometric functions.}, archivePrefix = {arXiv}, author = {Hardouin, Charlotte and Singer, Michael F.}, citeulike-article-id = {2214247}, citeulike-linkout-0 = {http://arxiv.org/abs/0801.1493}, citeulike-linkout-1 = {http://arxiv.org/pdf/0801.1493}, day = {9}, eprint = {0801.1493}, keywords = {group\_theory, integrability, linear\_systems}, month = {Jan}, posted-at = {2008-01-10 12:07:36}, priority = {3}, title = {Differential Galois Theory of Linear Difference Equations}, url = {http://arxiv.org/abs/0801.1493}, year = {2008} }

TY - ELEC ID - citeulike:2214247 L3 - citeulike-article-id:2214247 N2 - We present a Galois theory of difference equations designed to measure the differential dependencies among solutions of linear difference equations. With this we are able to reprove Hoelder's Theorem that the Gamma function satisfies no polynomial differential equation and are able to give general results that imply, for example, that no differential relationship holds among solutions of certain classes of q-hypergeometric functions. TI - Differential Galois Theory of Linear Difference Equations KW - group_theory KW - integrability KW - linear_systems AU - Hardouin, Charlotte AU - Singer, Michael PY - 2008/Jan/09/ UR - http://arxiv.org/abs/0801.1493 ER -