Results 41 to 50 of about 5,426,135 (190)

Signed distributions of real tensor eigenvectors of Gaussian tensor model via a four-fermi theory

Physics Letters B, 2023
Eigenvalue distributions are important dynamical quantities in matrix models, and it is a challenging problem to derive them in tensor models. In this paper, we consider real symmetric order-three tensors with Gaussian distributions as the simplest case,
Naoki Sasakura
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Fractional differentiation composition operators from Sp spaces to Hq spaces [PDF]

Mathematica Moravica
Let Sp be the space of functions analytic on the unit disk and whose derivatives belong to the Hardy space. In this article, we investigate the boundedness and compactness of the fractional differentiation composition operators from Sp spaces into Hardy ...
Borgohain Deepjyoti
doaj   +1 more source

Appell series over finite fields and Gaussian hypergeometric series [PDF]

, 2021
Supervisor: Rupam BarmanIn this thesis we study classical hypergeometric series and Appell series over finite fields, and find finite field analogues of several product and summation formulas satisfied by the classical hypergeometric series ...
Tripathi, Mohit
core   +1 more source

Hypergeometric functions in arithmetic geometry [PDF]

, 2009
textHypergeometric functions seem to be ubiquitous in mathematics. In this document, we present a couple of ways in which hypergeometric functions appear in arithmetic geometry.
Salerno, Adriana Julia, 1979-
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Hypergeometric-Gaussian modes

, 2007
We studied a novel family of paraxial laser beams forming an overcomplete yet nonorthogonal set of modes. These modes have a singular phase profile and are eigenfunctions of the photon orbital angular momentum. The intensity profile is characterized by a
Zito, Gianluigi, Piccirillo, Bruno, Marrucci, Lorenzo, Santamato, Enrico, Karimi, Ebrahim   +4 more
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A note on the accuracy of a computable approximation for the period of a pendulum

AIP Advances, 2015
We discuss the accuracy of a previously proposed computable approximation for the period of the simple pendulum. In particular, we apply known inequalities for the Gaussian hypergeometric function to prove that the associated error is a monotonic ...
Eric Oden, Kendall Richards
doaj   +1 more source

Tables of the Lauricella Hypergeometric Functions F^(3)_A

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
The generalized hypergeometric function q​Fp​ is a power series in which the ratio of successive terms is a rational function of the summation index. The Gaussian hypergeometric functions 2F1​ and 3F3​ are most common special cases of the generalized ...
Abbasova, M.O., Ergashev, T.G.
doaj   +1 more source

Error Performance Analysis of Access Point-Based Reconfigurable Intelligent Surfaces in the Presence of Gaussian-Plus-Laplacian Additive Noise

IEEE Access, 2021
In this paper, we investigate the error performance of access point-based reconfigurable intelligent surfaces (AP-RISs) under a Rayleigh frequency-flat slow fading channel with path loss in the presence of Gaussian-plus-Laplacian additive noise.
Narushan Pillay, Hongjun Xu
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Hilbert inequality and Gaussian hypergeometric functions [PDF]

Journal of Mathematical Inequalities, 2009
By using the integral representation of Gaussian hypergeometric function, we obtain Hilbert type inequalities with some fractional kernels and non-conjugate parameters. Such inequalities include the constant factors expressed in terms of hypergeometric functions. Further, we obtain the best possible constants for some general cases, in conjugate case.
openaire   +2 more sources

Vibration analysis of liquid in an axisymmetric tank covered by a diaphragm

Mechanical Engineering Journal, 2022
The vibration of liquid in an axisymmetric tank covered by an elastic diaphragm is analyzed and an equivalent mechanical model for the coupled oscillation of the liquid and the diaphragm is developed.
Masahiko UTSUMI
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