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Log concavity for unimodal sequences. [PDF]
Bridges W, Bringmann K.
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Limiting Absorption Principles and Linear Inviscid Damping in the Euler-Boussinesq System in the Periodic Channel. [PDF]
Coti Zelati M, Nualart M.
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CFT Correlators and Mapping Class Group Averages. [PDF]
Romaidis I, Runkel I.
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Formulas for non-holomorphic Eisenstein series and for the Riemann zeta function at odd integers
Research in Number Theory, 2018New expressions are given for the Fourier expansions of non-holomorphic Eisenstein series with weight k. Among other applications, this leads to non-holomorphic analogs of formulas of Ramanujan, Grosswald and Berndt containing Eichler integrals of ...
C. O’Sullivan
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A criterion of normality based on a single holomorphic function
, 2011Let F be a family of functions holomorphic on a domain D ⊂ ℂ Let k ≥ 2 be an integer and let h be a holomorphic function on D, all of whose zeros have multiplicity at most k −1, such that h(z) has no common zeros with any f ∈ F.
Xiao Jun Liu, Shahar Nevo
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Holomorphic wave function of the Universe.
Physical Review D, Particles and fields, 1990The quantum behavior of the vacuum Bianchi type-IX universe with the cosmological constant is investigated in terms of the Ashtekar variables. An exact solution to the quantum Hamiltonian constraint in the holomorphic representation is given.
H. Kodama
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Wavelets and Holomorphic Functions
Complex Analysis and Operator Theory, 2018In this paper, we apply Meyer’s holomorphic wavelets to study holomorphic function spaces systematically. The holomorphic function spaces under our setting include the classical function spaces as well as extensions of the latter. Holomorphic wavelets pay a role to connect real analysis and complex analysis.
Tao Qian, Qixiang Yang
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ON ESTIMATES OF THE NORM OF THE HOLOMORPHIC COMPONENT OF A MEROMORPHIC FUNCTION
, 1976For an arbitrary simply connected domain D, an estimate is obtained for the norm of the holomorphic component of a meromorphic function having a given number of poles in D. The estimate is uniform with respect to D. Bibliography: 4 titles.
A. Gončar, L. D. Grigorjan
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Functions Holomorphic in a Region [PDF]
a) The function \(g(z)\mathop = \limits^{{\text{def}}} f(z) - f(z) - f'(a)z\) is such that g′(a) = 0 whence g is not injective near a, i.e., near a there are two points b, c such that g(b) = g(c), whence the conclusion.
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