In this note, we prove that there is no transcendental entire function f(z) ∈ ℚ[[z]] such that f(ℚ) ⊆ ℚ and den f(p/q) = F(q), for all sufficiently large q, where F(z) ∈ ℤ[z]
Abstract. We deal with a kind of impossible decomposition of some entire functions in terms of a cer...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
AbstractMost well-known transcendental functions usually take transcendental values at algebraic poi...
summary:In this note, we prove that there is no transcendental entire function $f(z)\in \mathbb{Q} [...
In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to...
AbstractLet f(z) be a transcendental entire function and n ⩾ 3 a prime number. Then (f(w) − aw) ∘ zn...
A classic theorem of Pólya shows that 2z is, in a strong sense, the "smallest" transcendental entire...
transcendental entire function with h′ ( z) = 0 having infinitely many solutions, p ( z) is a polyn...
Abstract. We prove that if f is a transcendental entire function and the set of all nite singulariti...
AbstractThe formal power series[formula]is transcendental over Q(X) whentis an integer ≥2. This is d...
(Communicated by Ilpo Laine) Abstract. We improve a result of Anderson, Baker and Clunie on exceptio...
In this paper first we prove that if f and g are two permutable transcendental entire functions sati...
A theorem of Pólya shows that the function 2 Z is the 'smallest' transcende...
AbstractGiven an analytic function of one complex variable f, we investigate the arithmetic nature o...
We prove that if f is a transcendental entire function and the set of all finite singularities of it...
Abstract. We deal with a kind of impossible decomposition of some entire functions in terms of a cer...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
AbstractMost well-known transcendental functions usually take transcendental values at algebraic poi...
summary:In this note, we prove that there is no transcendental entire function $f(z)\in \mathbb{Q} [...
In this short note, considering functions, we show that taking an asymptotic viewpoint allows one to...
AbstractLet f(z) be a transcendental entire function and n ⩾ 3 a prime number. Then (f(w) − aw) ∘ zn...
A classic theorem of Pólya shows that 2z is, in a strong sense, the "smallest" transcendental entire...
transcendental entire function with h′ ( z) = 0 having infinitely many solutions, p ( z) is a polyn...
Abstract. We prove that if f is a transcendental entire function and the set of all nite singulariti...
AbstractThe formal power series[formula]is transcendental over Q(X) whentis an integer ≥2. This is d...
(Communicated by Ilpo Laine) Abstract. We improve a result of Anderson, Baker and Clunie on exceptio...
In this paper first we prove that if f and g are two permutable transcendental entire functions sati...
A theorem of Pólya shows that the function 2 Z is the 'smallest' transcende...
AbstractGiven an analytic function of one complex variable f, we investigate the arithmetic nature o...
We prove that if f is a transcendental entire function and the set of all finite singularities of it...
Abstract. We deal with a kind of impossible decomposition of some entire functions in terms of a cer...
AbstractWe establish q-analogues of Taylor series expansions in special polynomial bases for functio...
AbstractMost well-known transcendental functions usually take transcendental values at algebraic poi...
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