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The function  is a particular case of more complicated mathematical functions. For example, it is a special case of the generalized hypergeometric function  with the parameter  at  , multiplied by  :
It is also a particular case of the modified Bessel function  with the parameter  , multiplied by  :
Other Bessel functions can also be expressed through the hyperbolic sine function for similar values of the parameter:
Struve functions can also degenerate into the hyperbolic sine function for a similar parameter value:
But the function  is also a degenerate case of the doubly periodic Jacobi elliptic functions when their second parameter is equal to  or  :
Finally, the function  is the particular case of another class of functions—the Mathieu functions:
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