A uniqueness polynomial generating a unique range set and vice versa
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Publication:1930680
DOI10.1007/BF03321842zbMath1283.30064OpenAlexW1968676679MaRDI QIDQ1930680
Abhijit Banerjee, Indrajit Lahiri
Publication date: 11 January 2013
Published in: Computational Methods and Function Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03321842
Related Items (24)
On the existence of unique range sets generated by non-critically injective polynomials and related issues ⋮ A Journey from Gross-Problem to Fujimoto-Condition ⋮ A new class of strong uniqueness polynomials satisfying Fujimoto's condition ⋮ Strong uniqueness polynomials of degree 6 and unique range sets for powers of meromorphic functions ⋮ Some results on the unique range sets ⋮ Unique range sets - a further study ⋮ Unique range sets for powers of meromorphic functions ⋮ Unique range sets: a further study. II ⋮ On the distribution of unique range sets and its elements over the extended complex plane ⋮ Uniqueness of meromorphic function under weighted sharing of two or three sets exclusively in \(\mathbb{C}\) ⋮ A new type of unique range set with deficient values ⋮ On uniqueness of \(L\)-functions in terms of zeros of strong uniqueness polynomial ⋮ Subsequent investigations of the least cardinalities of unique range set for two minimum weights over a non-Archimedean field ⋮ Investigations on unique range sets of meromorphic functions in an angular domain ⋮ Unique range sets for powers of meromorphic functions. II ⋮ Unique range sets without Fujimoto's hypothesis ⋮ Bi-unique range sets for meromorphic functions ⋮ A note on a new unique range set with truncated multiplicity ⋮ On the characterisations of a new class of strong uniqueness polynomials generating unique range sets ⋮ On some sufficient conditions of strong uniqueness polynomials ⋮ Fujimoto's theorem -- a further study ⋮ Weighted value sharing and uniqueness problems concerning \(L\)-functions and certain meromorphic functions ⋮ On the extended class of SUPM and their generating URSM over non-Archimedean field ⋮ Further investigations on Fujimoto type strong uniqueness polynomials
Cites Work
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- Unique range sets for meromorphic functions constructed without an injectivity hypothesis
- On a result of H. Fujimoto
- On preimage and range sets of meromorphic functions
- Some further results on the unique range sets of meromorphic functions
- On uniqueness of meromorphic functions sharing finite sets
- Weighted sharing and uniqueness of meromorphic functions
- Weighted value sharing and uniqueness of meromorphic functions
- Strong uniqueness polynomials: The complex case
- A unique range set for meromorphic functions with 11 elements
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