Results 11 to 20 of about 17,517,320 (360)

Generating Function for Projected Entangled-Pair States [PDF]

open access: yesPRX Quantum, 2023
Diagrammatic summation is a common bottleneck in modern applications of projected entangled-pair states, especially in computing low-energy excitations of a two-dimensional quantum many-body system.
Wei-Lin Tu   +5 more
doaj   +2 more sources

Large gap asymptotics for the generating function of the sine point process. [PDF]

open access: yesProc Lond Math Soc, 2021
We consider the generating function of the sine point process on m consecutive intervals. It can be written as a Fredholm determinant with discontinuities, or equivalently as the convergent series ∑k1,…,km⩾0P∩j=1m#{pointsinthejthinterval}=kj∏j=1msjkj ...
Charlier C.
europepmc   +3 more sources

Information Generating Function of Ranked Set Samples [PDF]

open access: yesEntropy, 2021
In the present paper, we study the information generating (IG) function and relative information generating (RIG) function measures associated with maximum and minimum ranked set sampling (RSS) schemes with unequal sizes.
Omid Kharazmi   +2 more
doaj   +2 more sources

Cumulative information generating function and generalized Gini functions [PDF]

open access: yesMetrika, 2023
We introduce and study the cumulative information generating function, which provides a unifying mathematical tool suitable to deal with classical and fractional entropies based on the cumulative distribution function and on the survival function ...
Marco Capaldo   +2 more
semanticscholar   +5 more sources

Generating Functions for Products of Special Laguerre 2D and Hermite 2D Polynomials

open access: diamond, 2015
The bilinear generating function for products of two Laguerre 2D polynomials Lm;n(z; z0) with different arguments is calculated. It corresponds to the formula of Mehler for the generating function of products of two Hermite polynomials.
Alfred Wünsche
openalex   +4 more sources

Generating function for web diagrams [PDF]

open access: yes, 2014
We present the description of the exponentiated diagrams in terms of generating function within the universal diagrammatic technique. In particular, we show the exponentiation of the gauge theory amplitudes involving products of an arbitrary number of ...
Vladimirov, A. A.
core   +2 more sources

A New Generating Function of (q‐) Bernstein‐Type Polynomials and Their Interpolation Function [PDF]

open access: gold, 2010
The main object of this paper is to construct a new generating function of the (q-) Bernstein type polynomials. We establish elementary properties of this function. By using this generating function, we derive recurrence relation and derivative of the (q-
Yılmaz Şimşek, Mehmet Açıkgöz
openalex   +4 more sources

On the generating function e xt+yϕ(t) and its fractional calculus

open access: yesOpen Physics, 2013
In this article, we derive the coefficient set {Hm(x,y)}m=1∞ using the generating function ext+yϕ(t). When the complex function ϕ(t) is entire, using the inverse Mellin transform, and when ϕ(t) has singular points, using the inverse Laplace transform ...
Ansari Alireza   +2 more
doaj   +2 more sources

Generating function for tensor network diagrammatic summation [PDF]

open access: yesPhysical review B, 2021
The understanding of complex quantum many-body systems has been vastly boosted by tensor network (TN) methods. Among others, excitation spectrum and long-range interacting systems can be studied using TNs, where one however confronts the intricate ...
Wei-Lin Tu   +4 more
semanticscholar   +1 more source

On the generating function of the Pearcey process [PDF]

open access: yesThe Annals of Applied Probability, 2021
The Pearcey process is a universal point process in random matrix theory. In this paper, we study the generating function of the Pearcey process on any number $m$ of intervals. We derive an integral representation for it in terms of a Hamiltonian that is
C. Charlier, P. Moreillon
semanticscholar   +1 more source

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