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According to Bloch's principle, every condition which reduces a meromorphic function in to a constant makes a family of meromorphic functions in a domain normal.
We also need the following lemma to detect the hyper-order of a meromorphic function to be at least one.
Proof Weyl function M is a meromorphic function with respect to λ, which has simple poles at λ n.
The Weyl function (M lambda)) is a meromorphic function with respect to λ, which has simple poles at (lambda_{n}).
We say that a meromorphic function w belongs to the class W if w is an elliptic function, or a rational function of e α z, α ∈ C, or a rational function of z.
We say that a meromorphic function f belongs to the class W if f is an elliptic function, or a rational function of e α z, α ∈ C, or a rational function of z.
A meromorphic function a ( z ) is said to be a small function with respect to f ( z ) if T ( r, a ) = S ( r, f ).
Bloch's principle [5] states that every condition which reduces a meromorphic function in the plane ℂ to be a constant forces a family of meromorphic functions in a domain D to be normal.
Bloch's principle [5] states that every condition which reduces a meromorphic function in the plane C to be a constant forces a family of meromorphic functions in a domain D normal.
A meromorphic function a ( z ) is said to be a small function of f ( z ) if T ( r, a ) = S ( r, f ).
Recently, there was also interest in studying the value distribution of a meromorphic function from the whole plane to an angular domain.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com