The lemma of the logarithmic derivative in several complex variables

From MaRDI portal
Publication:1239410

DOI10.1215/S0012-7094-77-04404-0zbMath0361.32003WikidataQ124814748 ScholiaQ124814748MaRDI QIDQ1239410

Al Vitter

Publication date: 1977

Published in: Duke Mathematical Journal (Search for Journal in Brave)




Related Items (59)

Non-integrated defect relation for meromorphic maps of complete Kähler manifolds into $\mathbb{P}^{n}(\mathbb{C})$ intersecting hypersurfacesUniqueness problem of meromorphic mappings in several complex variables for moving targetsTranscendental entire solutions for several quadratic binomial and trinomial PDEs with constant coefficientsThe logarithmic derivative for minimal surfaces in \(\mathbb R^3\).Topics on meromorphic mappings and defectsTranscendental entire solutions of several Fermat type PDEs and PDDEs with two complex variablesOn generalized Fermat Diophantine functional and partial differential equations in \(\mathbf{C}^2\)Higher dimensional tautological inequalities and applicationsThe Second Main Theorem for algebroid functions of several complex variablesOn meromorphic solutions of functional-differential equationsON ENTIRE SOLUTIONS OF FERMAT TYPE PARTIAL DIFFERENTIAL EQUATIONSA sharp form of Nevanlinna's Second Main Theorem of several complex variablesOn Nevanlinna's second main theorem in projective spaceOn entire solutions of certain partial differential equationsValue distribution of \(q\)-differences of meromorphic functions in several complex variablesMichael’s problem and the Poincaré-Fatou-Bieberbach phenomenonA generalization of Stoll's theorem for moving targetsAnother proof of Stoll's theorem for moving targetsUnnamed ItemValue distribution for holomorphic maps in \(\mathbb{C}^n\)The study of solutions for several systems of PDDEs with two complex variablesSome results regarding partial differential polynomials and the uniqueness of meromorphic functions in several variablesA Hypersurface Defect Relation for a Class of Meromorphic MapsA difference Picard theorem for meromorphic functions of several variablesThe defect relations for the derived curves of a holomorphic curve in \(P^ n(\)C)The \(q\)-difference theorems for meromorphic functions of several variablesApproximation divisors of a holomorphic mapping and the deficiencies of meromorphic functions of several variablesMeromorphic solutions of generalized inviscid Burgers' equations and related PDEsEntire Solutions ofThe lemma of the logarithmic derivative for subharmonic functions\(m\) components-admissible solutions of systems of higher-order partial differential equations on \(\mathbb C^n\)Non-Archimedean Nevanlinna theory in several variables and the non-Archimedean Nevanlinna inverse problemEstimations du type nevanlinna pour les applications holomorphes de ∁n dans ∁nOn Picard's theoremON MEROMORPHIC SOLUTIONS OF GENERALIZED FERMAT EQUATIONSOn the group of holomorphic automorphisms of \(\mathbb{C}{}^ n\)Unnamed ItemEntire solutions of certain partial differential equations in \(\mathbb{C}^n\)New defect relations for meromorphic functions on 𝐂ⁿEntire solutions of certain partial differential equations and factorization of partial derivativesLemma on logarithmic derivatives and holomorphic curves in algebraic varietiesHolomorphic curves in algebraic manifoldsAlgebraic degeneracy theorem for holomorphic mappings into smooth projective algebraic varietiesHolomorphic curves with maximal deficiency sumOn certain functional and partial differential equations. IIEstimates on partial derivatives and logarithmic partial derivatives of holomorphic functions on polydiscs and beyondEntire solutions of a variation of the eikonal equation and related PDEsNonequidimensional value distribution theory and meromorphic connectionsAx-Schanuel type theorems on functional transcendence via Nevanlinna theoryA logarithmic derivative lemma in several complex variables and its applicationsMeromorphic solutions of Fermat type partial differential equationsFurther results on factorization of meromorphic solutions of partial differential equationsThe uniqueness problem and meromorphic solutions of partial differential equationsOn entire solutions of a Pythagorean functional equation and associated PDEsUnique range sets for meromorphic functions onEntire and meromorphic solutions for systems of the differential difference equationsA unicity theorem for meromorphic maps of a complete Kähler manifold into ℙⁿ(ℂ) sharing hypersurfacesSometimes effective Thue-Siegel-Roth-Schmidt-Nevanlinna bounds, or betterAn application of the lemma on the logarithmic derivative in several complex variables due to A. Vitter




This page was built for publication: The lemma of the logarithmic derivative in several complex variables