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        The Sinus Cardinal
        family of functions (indexed by the family of indices a
        > 0) is defined by
      
it sees heavy use in signal processing tasks.
        By analogy, the Hyperbolic
        Sinus Cardinal family of functions (also indexed by the family of
        indices a > 0) is defined by
      
These two families of functions are composed of entire functions.
These functions (sinc_pi and sinhc_pi) are needed by our implementation of quaternions and octonions.
Sinus Cardinal of index pi (purple) and Hyperbolic Sinus Cardinal of index pi (red) on R