Results 11 to 20 of about 53,705 (163)
An Alternative Proof of a Closed Formula for Central Factorial Numbers of the Second Kind
Turkish Journal of Analysis and Number Theory, 2019 In the short note, by virtue of several formulas and identities for special values of the Bell polynomials of the second kind, the authors provide an alternative proof of a closed formula for central factorial numbers of the second kind. Moreover, the authors pose two open problems on closed form of a special Bell polynomials of the second kind and on ...
Feng Qi, Guo-Sheng Wu, Bai-Ni Guo
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Normally ordered forms of powers of differential operators and their combinatorics [PDF]
, 2018 We investigate the combinatorics of the general formulas for the powers of the operator h∂k, where h is a central element of a ring and ∂ is a differential operator. This generalizes previous work on the powers of operators h∂.
Briand, Emmanuel +2 more
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Accounting for the Role of Long Walks on Networks via a New Matrix Function [PDF]
, 2016 We introduce a new matrix function for studying graphs and real-world networks based on a double-factorial penalization of walks between nodes in a graph. This new matrix function is based on the matrix error function.
Estrada, Ernesto, Silver, Grant
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Extended r-central Bell polynopmials with umbral calculus viewpoint
Advances in Difference Equations, 2019 Recently, extended r-central factorial numbers of the second kind and extended r-central Bell polynomials were introduced and various results of them were investigated.
Lee-Chae Jang +3 more
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Extended central factorial polynomials of the second kind
Advances in Difference Equations, 2019 In this paper, we consider the extended central factorial polynomials and numbers of the second kind, and investigate some properties and identities for these polynomials and numbers.
Taekyun Kim +3 more
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Generic and rhetorical structures of texts : two sides of the same coin? [PDF]
, 2005 Two major approaches to textual macro-structures have been developed during the last decades: Register & Genre Theory (R>) and Rhetorical Structure Theory (RST).
Gruber, Helmut, Muntigl, Peter
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Two variable higher-order central Fubini polynomials
Journal of Inequalities and Applications, 2019 Recently, the central Fubini polynomials were introduced in connection with central factorial numbers of the second kind. In this paper, we consider two variable higher-order central Fubini polynomials as a ‘central analogue’ of two variable higher-order
Taekyun Kim +3 more
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Quantum limits on phase-preserving linear amplifiers [PDF]
, 2012 The purpose of a phase-preserving linear amplifier is to make a small signal larger, regardless of its phase, so that it can be perceived by instruments incapable of resolving the original signal, while sacrificing as little as possible in signal-to ...
Caves, Carlton M. +3 more
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AIMS MathematicsBy utilizing the generating function of higher-order Bernoulli polynomials, we uncover novel relationships that intertwine higher-order Bernoulli polynomials, higher-order Bernoulli numbers, Stirling numbers of the second kind, and central factorial ...
Aimin Xu
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q-Differential equations for q-classical polynomials and q-Jacobi-Stirling numbers [PDF]
, 2015 We introduce, characterise and provide a combinatorial interpretation for the so-called q-Jacobi–Stirling numbers. This study is motivated by their key role in the (reciprocal) expansion of any power of a second order q-differential operator having the
Loureiro, Ana F., Zeng, J.
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