Difference between revisions of "Nabla cosh"
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=Properties= | =Properties= | ||
| − | + | [[Dynamic equation for nabla cosh and nabla sinh]]<br /> | |
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#$\widehat{\cosh}_p^{\nabla}(t,s)=p(t)\widehat{\sinh}_p(t,s)$, where $\widehat{\sinh}$ is the [[Nabla sinh|$\nabla$-$\sinh$]] function. | #$\widehat{\cosh}_p^{\nabla}(t,s)=p(t)\widehat{\sinh}_p(t,s)$, where $\widehat{\sinh}$ is the [[Nabla sinh|$\nabla$-$\sinh$]] function. | ||
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=References= | =References= | ||
[http://faculty.cord.edu/andersod/p20.pdf Nabla dynamic equations] | [http://faculty.cord.edu/andersod/p20.pdf Nabla dynamic equations] | ||
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Latest revision as of 23:38, 11 December 2016
$$\widehat{\cosh}_p(t,s)=\dfrac{\widehat{e}_p(t,s)+\widehat{e}_{-p}(t,s)}{2}$$
Properties
Dynamic equation for nabla cosh and nabla sinh
- $\widehat{\cosh}_p^{\nabla}(t,s)=p(t)\widehat{\sinh}_p(t,s)$, where $\widehat{\sinh}$ is the $\nabla$-$\sinh$ function.
- $\widehat{\cosh}^2_p(t,s)-\widehat{\sinh}^2_p(t,s)=\widehat{e}_{\nu p^2}(t,s)$
- $\widehat{\cosh}_p(t,s) + \widehat{\sinh}_p(t,s)=\hat{e}_p(t,s)$
- $\widehat{\cosh}_p(t,s)-\widehat{\sinh}_p(t,s)=\widehat{e}_{-p}(t,s)$
