id: 06220565
dt: j
an: 2014b.00709
au: Kuchment, Peter; Lvin, Sergey
ti: Identities for $\sin x$ that came from medical imaging.
so: Am. Math. Mon. 120, No. 7, 609-621 (2013).
py: 2013
pu: Mathematical Association of America (MAA), Washington, DC
la: EN
cc: I55 M65 M55 H35
ut: medical imaging research; non-commutative binomial formulas
ci:
li: doi:10.4169/amer.math.monthly.120.07.609 arxiv:1110.6109
ab: Summary: The article describes interesting nonlinear differential
identities satisfied by standard exponential and trigonometric
functions. They appeared as byproducts of medical imaging research and
look like some type of non-commutative binomial formulas. A brief
description of the origin of these identities is provided, as well as
their direct algebraic derivation. Relations with separate analyticity
theorems in several complex variables and some open problems are also
mentioned.
rv: