Majorization Results for Certain Subfamilies of Analytic Functions
Journal of Function Spaces, 2021 Let h1z and h2z be two nonvanishing holomorphic functions in the open unit disc with h10=h20=1. For some holomorphic function qz, we consider the class consisting of normalized holomorphic functions f whose ratios fz/zqz and qz are subordinate to h1z and
Muhammad Arif +4 more
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Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus
Journal of High Energy Physics, 2021 Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation.
Min-xin Huang
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Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
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Geometric properties of holomorphic functions involving generalized distribution with bell number
AIMS Mathematics, 2023 One of the statistical tools used in geometric function theory is the generalized distribution which has recently gained popularity due to its use in solving practical issues.
S. Santhiya , K. Thilagavathi
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Inequalities Involving Essential Norm Estimates of Product-Type Operators
Journal of Mathematics, 2021 Consider an open unit disk D=z∈ℂ ...
Manisha Devi, Ajay K. Sharma, Kuldip Raj
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Duality of holomorphic function spaces and smoothing properties of the Bergman projection [PDF]
, 2011 Let Ω ⊂⊂ Cn be a domain with smooth boundary, whose Bergman projection B maps the Sobolev space Hk1(Ω) (continuously) into Hk2(Ω). We establish two smoothing results: (i) the full Sobolev norm ‖Bf‖k2 is controlled by L2 derivatives of f taken along a ...
A. Herbig, J. McNeal, E. Straube
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Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
Journal of High Energy Physics, 2019 We study the large N ’t Hooft expansion of the chiral partition function of 2d U(N) Yang-Mills theory on a torus. There is a long-standing puzzle that no explicit holomorphic anomaly equation is known for the partition function, although it admits a ...
Kazumi Okuyama, Kazuhiro Sakai
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Symmetry reduction of holomorphic iterated function schemes and factorization of Selberg zeta functions [PDF]
, 2014 Given a holomorphic iterated function scheme with a finite symmetry group $G$, we show that the associated dynamical zeta function factorizes into symmetry-reduced analytic zeta functions that are parametrized by the unitary irreducible representations ...
D. Borthwick, T. Weich
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THE PLURIPOLAR HULL OF THE GRAPH OF A HOLOMORPHIC FUNCTION WITH POLAR SINGULARITIES [PDF]
, 2002 We study the pluripolar hull of the graph of a holomorphic function f, defined on a domain D ⊂ C outside a polar set A ⊂ D. This leads to a theorem that describes under what conditions f is nowhere extendible over A, while the graph of f over C \ A is ...
A. Edigarian, J. Wiegerinck
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Liouville Theorems and a Schwarz Lemma for Holomorphic Mappings Between Kähler Manifolds [PDF]
Communications on Pure and Applied Mathematics, 2018 We derive some consequences of the Liouville theorem for plurisubharmonic functions of L.‐F. Tam and the author. The first result provides a nonlinear version of the complex splitting theorem (which splits off a factor of ℂ isometrically from the simply ...
Lei Ni
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