Sina Nadi

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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 $f$ of finite order $ρ$ in the unit disc, under the hypothesis $0 < λ (f) \leq + \infty$ , and for every pos…

math.CV2026

Entire Functions Mapping Countable Dense Subsets of $R$ onto Countable Dense Subsets of $C$

Sina Nadi

In 1977, Karl F. Barth posed the following problem: given countable dense sets $A \subset R$ and $B \subset C$ , does there exist a transcendental entire function $f$ …

The Gross Property for Implicit Functions

Exceptional Sets of Positive Capacity in Gross's Star Theorem

Sharp Deficiency Bounds for Meromorphic Functions in the Unit Disc

Entire Functions Mapping Countable Dense Subsets of R onto Countable Dense Subsets of C

Entire Functions Mapping Countable Dense Subsets of $R$ onto Countable Dense Subsets of $C$