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pro vyhledávání: '"Kim, In-San"'
Autor:
Kim, Taekyun, Kim, Dae San
In this paper, we derive by using elementary methods some continued fractions, certain identities involving derivatives of tanx, several expressions for log coshx and an identity for {\pi}2, from a series expansion of tan x, which gives the product e
Externí odkaz:
http://arxiv.org/abs/2407.19885
Autor:
Kim, Taekyun, Kim, Dae San
Let X be the Laplacian random variable with parameters (a,b)=(0,1), and let X1, X2, X3 , ...be a sequence of mutually independent copies of X$. In this note, we explicitly determine the moments of the Laplacian random variable in terms of the Bernoul
Externí odkaz:
http://arxiv.org/abs/2407.13150
Autor:
Kim, Taekyun, Kim, Dae san
Assume that the moment generating function of the random vari able Y exists in a neighborhood of the origin. We introduce the probabilistic multi-Stirling numbers of the second kind associated with Y and the proba bilistic multi-Lah numbers associate
Externí odkaz:
http://arxiv.org/abs/2407.00061
Autor:
Kim, Taekyun, Kim, Dae san
Let Y be a random variable whose degenerate moment generating functions exist in some neighborhoods of the origin. The aim of this paper is to study the probabilistic degenerate Stirling numbers of the first kind associated with Y which are construct
Externí odkaz:
http://arxiv.org/abs/2406.06945
Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. The aim of this paper is to study the probabilistic Lah numbers associated with Y and the probabilistic Lah-Bell polynomials associated with Y, as
Externí odkaz:
http://arxiv.org/abs/2406.01200
Autor:
Ha, Donghoon, Kim, Jeong San
We consider multipartite quantum state discrimination and provide a specific relation between the properties of entanglement witness and quantum nonlocality inherent in the confidence of measurements. We first provide the definition of the confidence
Externí odkaz:
http://arxiv.org/abs/2405.20586
Autor:
Kim, Taekyunj, Kim, Dae San
Assume that Y is a random variable whose moment generating function exists in a neighborhood of the origin. We study the probabilistic degenerate r-Stirling numbers of the second kind associated with Y and the probabilistic degenerate r-Bell polynomi
Externí odkaz:
http://arxiv.org/abs/2405.13323
Autor:
Kim, Taekyun, Kim, Dae San
In 2008, Spivey found a recurrence relation for the Bell numbers. We consider the probabilistic r-Bell polynomials associated with which are a probabilistic extension of the r-Bell polynomials. Here Y is a random variable whose moment generating func
Externí odkaz:
http://arxiv.org/abs/2404.02413
Autor:
Kim, Taekyun, Kim, Dae san
Let Y be a random variable whose moment generating function exists in some neighborhood of the origin. We consider the probabilistic bivariate Bell polynomials associated with Y and the probabilistic bivariate r-Bell polynomials associated with Y. Fo
Externí odkaz:
http://arxiv.org/abs/2403.16670
Autor:
Ha, Donghoon, Kim, Jeong San
We provide multi-player quantum data hiding based on nonlocal quantum state ensembles arising from multi-party quantum state discrimination. Using bounds on local minimum-error discrimination of multi-party quantum states, we construct a multi-player
Externí odkaz:
http://arxiv.org/abs/2403.14363