Holomorphic Rational Functions of Several Variables and Sums of Squares of Polynomials [PDF]
M. F. Bessmertnyĭ
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Some properties of a class of holomorphic functions associated with tangent function
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar +5 more
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Modular constraints on conformal field theories with currents
We study constraints coming from the modular invariance of the partition function of two-dimensional conformal field theories. We constrain the spectrum of CFTs in the presence of holomorphic and anti-holomorphic currents using the semi-definite ...
Jin-Beom Bae, Sungjay Lee, Jaewon Song
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Holomorphic functions with growth conditions [PDF]
Let P be a p x q matrix of polynomials in n complex variables. If Q2 is a domain of holomorphy in Cnand u is a q-tuple of holomorphic functions we show that the equafion Pv = Pu has a solution v which is a holomorphic qtuple in Q2 and which satisfies an L2estimate in terms of Pu. Similar results have been obtained by Y.-T. Siu and R.
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Cartan-Thullen theorem for a $\mathbb C^n$-holomorphic function and a related problem [PDF]
Hiroki Yagisita
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Weighted holomorphic Besov spaces on the polydisk
This work is an introduction of weighted Besov spaces of holomorphic functions on the polydisk. Let Un be the unit polydisk in Cn and S be the space of functions of regular variation.
Anahit V. Harutyunyan, Wolfgang Lusky
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Relations of a planar domains bounded by hyperbolas with families of holomorphic functions [PDF]
S. Kanas +2 more
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Biduality in Spaces of Holomorphic Functions
This paper contains characterizations of the bidual space of some closed subspaces of $\mathcal{H}_b(U)$, the space of holomorphic functions bounded type defined on an open subset $U$ of a Banach space $X$, where $U$ is either a bounded balanced open set or the whole space $X$.
Galindo, P., Maestre, M., Rueda, P.
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Approximation properties determined by operator ideals and approximability of homogeneous polynomials and holomorphic functions [PDF]
Sonia Berrios, Geraldo Botelho
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Some remarks for a certain class of holomorphic functions at the boundary of the unit disc
We consider a boundary version of the Schwarz Lemma on a certain class which isdenoted by K(alfa) . For the function f(z)=z+c2z2+.......which is defined in the unit disc Esuch that the function f (z) belongs to the class K(alfa) , we estimate from below ...
Tuğba Akyel, Bülent Nafi Örnek
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