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[[File:The cardinal hyperbolic cosine function coshc(z) plotted in the complex plane from -2-2i to 2+2i.svg|alt=The cardinal hyperbolic cosine function coshc(z) plotted in the complex plane from -2-2i to 2+2i|thumb|The cardinal hyperbolic cosine function coshc(z) plotted in the complex plane from -2-2i to 2+2i]]
In mathematics, the '''Coshc function''' appears frequently in papers about optical scattering,<ref>PN Den Outer, TM Nieuwenhuizen, A Lagendijk, Location of objects in multiple-scattering media, JOSA A, Vol. 10, Issue 6, pp. 1209–1218 (1993)</ref> Heisenberg Spacetime<ref>T Körpinar, New characterizations for minimizing energy of biharmonic particles in Heisenberg spacetime, International Journal of Theoretical Physics, 2014 Springer</ref> and hyperbolic geometry.<ref>Nilgün Sönmez, A Trigonometric Proof of the Euler Theorem in Hyperbolic Geometry, International Mathematical Forum, 4, 2009, no. 38, 1877 1881</ref> It is defined as<ref>JHM ten Thije Boonkkamp, J van Dijk, L Liu, Extension of the complete flux scheme to systems of conservation laws, J Sci Comput (2012) 53:552–568, DOI 10.1007/s10915-012-9588-5</ref><ref>Weisstein, Eric W. "Coshc Function." From MathWorld—A Wolfram Web Resource. http://mathworld.wolfram.com/CoshcFunction.html{{Dead link|date=July 2019 |bot=InternetArchiveBot |fix-attempted=yes }}</ref>
<math display="block">\operatorname{Coshc}(z)=\frac {\cosh(z) }{z}</math>
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