Difference between revisions of "Delta sinh"
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=Properties= | =Properties= | ||
− | + | [[Derivative of delta sinh]]<br /> | |
− | + | [[Derivative of delta cosh]]<br /> | |
− | + | [[Delta cosh minus delta sinh]]<br /> | |
− | + | [[Delta hyperbolic trigonometric second order dynamic equation]]<br /> | |
<center>{{:Delta special functions footer}}</center> | <center>{{:Delta special functions footer}}</center> | ||
+ | |||
+ | [[Category:specialfunction]] | ||
+ | [[Category:Definition]] |
Latest revision as of 14:13, 28 January 2023
Let $p$ and $-\mu p^2$ be regressive functions. Then the $\Delta$ hyperbolic sine function is defined by $$\sinh_p(t,s) = \dfrac{e_p(t,s)-e_{-p}(t,s)}{2}.$$
Properties
Derivative of delta sinh
Derivative of delta cosh
Delta cosh minus delta sinh
Delta hyperbolic trigonometric second order dynamic equation
$\Delta$-special functions on time scales | ||||||
$\cos_p$ |
$\cosh_p$ |
$e_p$ |
$g_k$ |
$h_k$ |
$\sin_p$ |
$\sinh_p$ |