Sentence examples for be a nonconstant finite from inspiring English sources

Let f be a nonconstant finite order meromorphic function.

Lemma 2.2 Let w ( z ) be a nonconstant finite order transcendental meromorphic solution of the differenceequation of P ( z, w ) = 0, where P ( z, w ) is a difference polynomialin w ( z ).

Corollary 5.2 Let f be a nonconstant entire function of finite order, R ≢ 0 be a meromorphic function with finitely many poles (at least one pole) and ρ ( R ) < 1 and k be a positive integer.

Let f ( z ) be a nonconstant entire function of finite order ρ ( f ), η ∈ C. If f ( z ) and f ( z + η ) share one finite value a CM, and for a finite value b ≠ a, f ( z ) − b and f ( z + η ) − b have max { 1, [ ρ ( f ) ] − 1 } distinct common zeros of multiplicity ≥2, then f ( z ) ≡ f ( z + η ).

Let be a nonconstant meromorphic function of finite order, and.

Let f be a nonconstant entire function of finite order.

Let f be a nonconstant meromorphic function of finite order, and p be a nonconstant polynomial.

Theorem D Let f be a nonconstant entire function with finite order.

Theorem 1.2 Let f ( z ) be a nonconstant entire function of finite order.

Let (cinmathbb{C}setminus{0}), (ninmathbb{N}), and let (f z)) be a nonconstant entire function of finite order.

Let (f z)) be a nonconstant entire function of finite order.