Theorem 5.4. and are entire functions, with and .
Exploration for Theorem 5.4.
(c) 2006 John H. Mathews, Russell W. Howell
![[Graphics:Images/ComplexFunTrigMod_gr_41.gif]](../Images/ComplexFunTrigMod_gr_41.gif){kind=small}
and ![[Graphics:Images/ComplexFunTrigMod_gr_42.gif]](../Images/ComplexFunTrigMod_gr_42.gif){kind=small}
are entire functions, with ![[Graphics:Images/ComplexFunTrigMod_gr_43.gif]](../Images/ComplexFunTrigMod_gr_43.gif){kind=small}
and ![[Graphics:Images/ComplexFunTrigMod_gr_44.gif]](../Images/ComplexFunTrigMod_gr_44.gif){kind=small}
.
and
are entire functions, with and . ![[Graphics:../Images/ComplexFunTrigMod_gr_47.gif]](../Images/ComplexFunTrigMod_gr_47.gif)