I was wondering if anyone knew where I might find, or formulate, the infinite product representation of the entire function f(z) = e^(z).(adsbygoogle = window.adsbygoogle || []).push({});

Wikipedia says, and I qoute, "One important result concerning infinite products is that every entire function f(z) (i.e., every function that is holomorphic over the entire complex plane) can be factored into an infinite product of entire functions each with at most a single zero..."

Source of quote: http://en.wikipedia.org/wiki/Infinite_product

According to wikipedia, every entire function can be factored into an infinite product of entire functions with at most one zero.

Now the sum of two entire functions is an entire function. So I was wondering, if one is given the infinite product representations of say,

sin(pi*z) and e^(z), how might one construct a single product representation of

g(z) = sin(pi*z) - e^(z)?

Inquisitively,

Edwin G. Schasteen

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# Is there an infinite product representation of e^(z)

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