Meromorphic functions that partially share values with their first derivative

2025/08/13 by Sauer, Andreas, Schweizer, Andreas
#30D35 (primary) #30D45 (secondary) #Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.09548

Abstract

We consider uniqueness results for meromorphic functions f:\mathbb C → \widehat\mathbb C such that for certain values a∈ \mathbb C the implication f(z)=a ⇒ f'(z)=a holds, i.e. that f and f' share values \it partially. In particular, we give a result for four partially shared values.

Citations

• Sur les courbes de Brody dans Pⁿ(C)

Related

• Class of meromorphic functions partially shared values with their differences or shifts
• Meromorphic functions partially share three values with their difference operators
• Meromorphic functions share three values with their difference operators
• Variation on a Theorem by Mues and Steinmetz
• Uniqueness of Meromorphic Functions With Respect To Their Shifts Concerning Derivatives