Talk:Entire function

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Mathematics rating:	Stub Class	High Priority	Field: Analysis
Please update this rating as the article progresses, or if the rating is inaccurate. Click to show/hide comments. Please add to or update the comments to suggest improvements to the article. Geometry guy 23:38, 20 May 2007 (UTC)

[edit] Is this article statement true or false?

The article says:

A function that is defined on the whole complex plane except for a set of poles is called a meromorphic function.

I thought a meromorphic function can be defined just on a subset of the complex plane, not on the whole complex plane minus some singularities. Oleg Alexandrov 06:01, 18 Feb 2005 (UTC)

[edit] Completeness of examples

Are the only entire analytic functions polynomials in both x and exp(x)? njh 02:06, 23 Jun 2005 (UTC)

No. Any function of the form

Failed to parse (Cannot write to or create math output directory): a_0 + a_1 x+ a_2 x^2 + ...

with an infinite radius of convergence is entire function. Oleg Alexandrov 02:41, 23 Jun 2005 (UTC)

[edit] Trigonometric and hyperbolic functions entire?

I'm not a mathematician, but how can it be true that the trigonometric and hyperbolic functions are entire? For example, the tangent function isn't even defined at π/2, so how can it be holomorphic there? —Caesura^(t) 02:20, 1 March 2006 (UTC)

Whoever wrote that meant sine, cosine, sinh, and cosh, but I remved that thing altogether. Thanks. Oleg Alexandrov (talk) 03:08, 1 March 2006 (UTC)