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2016, London Mathematical Society lecture note series, ISBN 9781107541481, Volume 431., xv, 225 pages
This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is... 
Harmonic functions | Subharmonic functions | Hyperbolic spaces
Book
2011, Graduate studies in mathematics, ISBN 0821853694, Volume 125, xviii, 236
Book
Complex Variables and Elliptic Equations, ISSN 1747-6933, 01/2019, Volume 64, Issue 1, pp. 26 - 39
We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables... 
Meromorphic function in several variables | Baernstein star function | subharmonic function | MATHEMATICS | 32A22 | 32A20 | 32A30 | 32A60 | 30D35 | SUBHARMONIC FUNCTIONS | Harmonic functions | Meromorphic functions | Complex variables | Functionals | Mathematical analysis
Journal Article
1976, L.M.S. monographs, ISBN 0123348013, Volume 9, 20, 2 v.
Book
Lobachevskii Journal of Mathematics, ISSN 1995-0802, 3/2017, Volume 38, Issue 2, pp. 245 - 254
We recall the definition of quasinearly subharmonic functions, point out that this function class includes, among others, subharmonic functions, quasisubharmonic functions, nearly subharmonic... 
Geometry | Subharmonic | Algebra | Analysis | nearly subharmonic | quasinearly subharmonic | Mathematics, general | Probability Theory and Stochastic Processes | Mathematics | Mathematical Logic and Foundations
Journal Article
1983, Oxford mathematical monographs, ISBN 0198539061, x, 265 p. --
Book
Journal Article
Qualitative theory of dynamical systems, ISSN 1662-3592, 2015, Volume 15, Issue 2, pp. 471 - 479
... differential systems. But there is not a published proof. In this short paper, we prove that for any positive integer k, the kth Melnikov function and the kth averaging... 
Averaging method | Melnikov function | Difference and Functional Equations | Mathematics, general | Limit cycle bifurcation | Mathematics | Dynamical Systems and Ergodic Theory | MATHEMATICS | PERIODIC-ORBITS | ORDER | MATHEMATICS, APPLIED | SUBHARMONIC SOLUTIONS | INVARIANT TORI | BIFURCATIONS | VECTOR-FIELDS | DIFFERENTIAL-SYSTEMS
Journal Article
Results in Mathematics, ISSN 1422-6383, 12/2019, Volume 74, Issue 4, pp. 1 - 13
In this article, we prove an extension of the mean value theorem and a comparison theorem for subharmonic functions... 
measure densities | Hausdorff measure | Mathematics, general | Mathematics | Subharmonic function | Ahlfors–David sets | 31B05 | mean value theorem | comparison theorem | MATHEMATICS | MATHEMATICS, APPLIED | Ahlfors-David sets | Mathematics - Complex Variables
Journal Article
Complex Variables and Elliptic Equations, ISSN 1747-6933, 06/2018, Volume 63, Issue 6, pp. 783 - 801
Journal Article
1992, Advances in Soviet mathematics, ISBN 9780821841105, Volume 11, vii, 275
Book
by Ahag, P and Czyz, R
ANNALES POLONICI MATHEMATICI, ISSN 0066-2216, 2019, Volume 123, Issue 1, pp. 21 - 29
We provide a characterization of functions in Cegrell's energy class E-p,E-m. 
MATHEMATICS | Cegrell classes | ENERGY | m-subharmonic functions | complex Hessian operator
Journal Article
Sbornik: Mathematics, ISSN 1064-5616, 02/2009, Volume 200, Issue 1-2, pp. 283 - 312
Let Lambda = {lambda(k)} be a sequence of points in the complex plant C and integral a non-trivial entire function of finite order rho and finite type sigma such that integral = 0 on Lambda... 
entire function | MATHEMATICS | radius of completeness | system of exponentials | zero sequence | subharmonic function
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 9/2014, Volume 51, Issue 1, pp. 343 - 362
Journal Article
Lobachevskii Journal of Mathematics, ISSN 1995-0802, 1/2017, Volume 38, Issue 1, pp. 38 - 43
... . We build positive subharmonic functions on a part of D vanishing on the boundary ∂D of domain D. We use such (test) functions to study the distribution of zero sets of holomorphic functions f on D... 
Geometry | Algebra | holomorphic function | zero set | Analysis | Mathematics, general | Probability Theory and Stochastic Processes | convex function | Mathematics | Subharmonic function | Mathematical Logic and Foundations | Riesz measure
Journal Article
Problemy Analiza, ISSN 2306-3424, 2018, Volume 7, Issue Special Issue, pp. 12 - 30
We study approximation of subharmonic functions on the complex plane by logarithms of moduli of entire functions... 
Subharmonic function | Approximation | Entire function | Riesz measure | entire function | approximation | subharmonic function
Journal Article
The American mathematical monthly, ISSN 0002-9890, 11/2016, Volume 123, Issue 9, pp. 884 - 893
We review and give elementary proofs of Liouville-type properties of harmonic and subharmonic functions in the plane endowed with a complete Riemannian metric, and prove a gap theorem for the possible... 
Harmonic functions | Riemann manifold | Riemann surfaces | Mathematical theorems | Inner products | Subharmonics | Mathematical constants | Laplacians | Mathematical vectors | ARTICLES | Curvature | MATHEMATICS | MANIFOLDS | CURVATURE
Journal Article
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