In this paper, we show some Second main theorems for linearly nondegenerate meromorphic mappings ... more In this paper, we show some Second main theorems for linearly nondegenerate meromorphic mappings over the field ????c1 of c-periodic meromorphic functions having their hyper-orders strictly less than one in ℂm intersecting slowly moving targets in ℙn(ℂ). As an application, we give some Picard type theorems for meromorphic mappings of ℂm into ℙn(ℂ) under the growth condition hyper-order less than one.
In this paper, we give some uniqueness theorems of nonconstant meromorphic functions of hyper-ord... more In this paper, we give some uniqueness theorems of nonconstant meromorphic functions of hyper-order less than one sharing partially three or four small periodic functions with their shifts. As an application, some sufficient conditions for periodicity of meromorphic functions are given. Our results improve and extend previous results of W. Lin, X. Lin and A. Wu [11].
In this paper, we deal with unicity of a nonconstant zeroorder meromorphic function f(z) and its ... more In this paper, we deal with unicity of a nonconstant zeroorder meromorphic function f(z) and its shift f(qz) when they share four distinct values IM or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where q ∈ C \ {0}. We also give an uniqueness result for f(z) sharing sets with its shift.
In this paper, we show the Second Main Theorems for zeroorder meromorphic mapping of Cm into Pn(C... more In this paper, we show the Second Main Theorems for zeroorder meromorphic mapping of Cm into Pn(C) intersecting hyperplanes in subgeneral position without truncated multiplicity by considering the p-Casorati determinant with p ∈ Cm instead of its Wronskian determinant. As an application, we give some unicity theorems for meromorphic mapping under the growth condition “order=0”. The results obtained include p-shift analogues of the Second Main Theorem of Nevanlinna theory and Picard’s theorem.
Bulletin of the Malaysian Mathematical Sciences Society, 2021
In this paper, we give some vanishing theorems for harmonic p-forms on complete noncompact Rieman... more In this paper, we give some vanishing theorems for harmonic p-forms on complete noncompact Riemannian manifolds satisfying a weighted p-Poincare inequality with nonnegative scalar curvature and under pointwise curvature pinching conditions which are bounded from above by the weight function.
In this paper, we show some Second main theorems for linearly nondegenerate meromorphic mappings ... more In this paper, we show some Second main theorems for linearly nondegenerate meromorphic mappings over the field ????c1 of c-periodic meromorphic functions having their hyper-orders strictly less than one in ℂm intersecting slowly moving targets in ℙn(ℂ). As an application, we give some Picard type theorems for meromorphic mappings of ℂm into ℙn(ℂ) under the growth condition hyper-order less than one.
In this paper, we give some uniqueness theorems of nonconstant meromorphic functions of hyper-ord... more In this paper, we give some uniqueness theorems of nonconstant meromorphic functions of hyper-order less than one sharing partially three or four small periodic functions with their shifts. As an application, some sufficient conditions for periodicity of meromorphic functions are given. Our results improve and extend previous results of W. Lin, X. Lin and A. Wu [11].
In this paper, we deal with unicity of a nonconstant zeroorder meromorphic function f(z) and its ... more In this paper, we deal with unicity of a nonconstant zeroorder meromorphic function f(z) and its shift f(qz) when they share four distinct values IM or share three distinct values with multiplicities truncated to level 4 in the extended complex plane, where q ∈ C \ {0}. We also give an uniqueness result for f(z) sharing sets with its shift.
In this paper, we show the Second Main Theorems for zeroorder meromorphic mapping of Cm into Pn(C... more In this paper, we show the Second Main Theorems for zeroorder meromorphic mapping of Cm into Pn(C) intersecting hyperplanes in subgeneral position without truncated multiplicity by considering the p-Casorati determinant with p ∈ Cm instead of its Wronskian determinant. As an application, we give some unicity theorems for meromorphic mapping under the growth condition “order=0”. The results obtained include p-shift analogues of the Second Main Theorem of Nevanlinna theory and Picard’s theorem.
Bulletin of the Malaysian Mathematical Sciences Society, 2021
In this paper, we give some vanishing theorems for harmonic p-forms on complete noncompact Rieman... more In this paper, we give some vanishing theorems for harmonic p-forms on complete noncompact Riemannian manifolds satisfying a weighted p-Poincare inequality with nonnegative scalar curvature and under pointwise curvature pinching conditions which are bounded from above by the weight function.
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Papers by Duc Thoan Pham