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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>Nilg¨un S¨onmez,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</ref>
: <math>\operatorname{Coshc}(z)=\frac {\cosh(z) }{z}</math>
[[File:Coshc 2D plot.png|thumb|Coshc 2D plot]]
[[File:Coshc'(z) 2D plot.png|thumb|Coshc'(z) 2D plot]]
;Imaginary part in complex plane
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