4 papers
math.CV2026
The Gross Property for Implicit Functions
Sina Nadi
In 1918, Gross proved that a regular local inverse of a meromorphic function in the plane can be continued analytically along every ray from its centre except for directions in a s…
math.CV2026
Exceptional Sets of Positive Capacity in Gross's Star Theorem
Sina Nadi
In 1918, Gross proved that a regular local inverse of a meromorphic function in the plane can be continued analytically along every ray from its centre except for directions in a s…
math.CV2026
Sharp Deficiency Bounds for Meromorphic Functions in the Unit Disc
Sina Nadi
In 1986, Shea and Sons obtained the following bound for a meromorphic function of finite order in the unit disc, under the hypothesis , and for every pos…
math.CV2026
Entire Functions Mapping Countable Dense Subsets of onto Countable Dense Subsets of
Sina Nadi
In 1977, Karl F. Barth posed the following problem: given countable dense sets and , does there exist a transcendental entire function …