Results 31 to 40 of about 293,918 (162)

Generating function polynomials for legendrian links

, 2001
It is shown that, in the 1-jet space of the circle, the swapping and the flyping procedures, which produce topologically equivalent links, can produce nonequivalent legendrian links.
Bennequin, Conway, Eliashberg, Eliashberg, Eliashberg, Eliashberg, Guy, Lisa Traynor, Tabachnikov, Viterbo   +9 more
core   +2 more sources

Fourier series of functions involving higher-order ordered Bell polynomials

Open Mathematics, 2017
In 1859, Cayley introduced the ordered Bell numbers which have been used in many problems in number theory and enumerative combinatorics. The ordered Bell polynomials were defined as a natural companion to the ordered Bell numbers (also known as the ...
Kim Taekyun, Kim Dae San, Jang Gwan-Woo, Jang Lee Chae   +3 more
doaj   +1 more source

On the Boundary of Incidence Energy and Its Extremum Structure of Tricycle Graphs

Frontiers in Physics, 2020
With the wide application of graph theory in circuit layout, signal flow chart and power system, more and more attention has been paid to the network topology analysis method of graph theory.
Hongyan Lu, Zhongxun Zhu
doaj   +1 more source

Appell polynomials and their relatives II. Boolean theory

, 2007
The Appell-type polynomial family corresponding to the simplest non-commutative derivative operator turns out to be connected with the Boolean probability theory, the simplest of the three universal non-commutative probability theories (the other two ...
Anshelevich, Michael
core   +2 more sources

Generalized Extended Matrix Variate Beta and Gamma Functions and Their Applications

Ingeniería y Ciencia, 2016
In this article, we define and study generalized forms of extended matrix variate gamma and beta functions. By using a number of results from matrix algebra, special functions of matrix arguments and zonal polynomials we derive a number of properties of ...
Daya K. Nagar, Sergio Alexander Gómez-Noguera, Arjun K Gupta   +2 more
doaj   +1 more source

Incompressible flows: Relative scale invariance and isobaric polynomial fields

AIP Advances, 2022
This article examines the Bouton–Lie group invariants of the Navier–Stokes equation (NSE) for incompressible fluids. The theory is applied to the general scaling transformation admitted by the NSE: it adds new partial differential equations to the Navier–
J. Polihronov
doaj   +1 more source

Rationality of the Anomalous Dimensions in N=4 SYM theory

, 2005
We reconsider the general constraints on the perturbative anomalous dimensions in conformal invariant QFT and in particular in N=4 SYM with gauge group SU(N_c).
Aharony, Andrianopoli, Andrianopoli, Anselmi, Arutyunov, Arutyunov, Arutyunov, Arutyunov, Arutyunov, Arutyunov, Beisert, Beisert, Beisert, Beisert, Beisert, Beisert, Beisert, Bianchi, Bianchi, Bianchi, Bianchi, Bianchi, Bianchi, Constable, Constable, D'Hoker, D'Hoker, D'Hoker, Dobrev, Dolan, Dolan, Dolan, Dolan, Eden, Eden, Eden, Eden, Eden, Eden, Eden, Eden, Eden, Eden, Eden, Erdmenger, Ferrara, Gubser, Howe, Kristjansen, Lee, Luigi Genovese, Maldacena, Minahan, Nirschl, Penati, Penati, Witten, Yassen S. Stanev   +57 more
core   +2 more sources

The Lazard formal group, universal congruences and special values of zeta functions [PDF]

, 2015
A connection between the theory of formal groups and arithmetic number theory is established. In particular, it is shown how to construct general Almkvist--Meurman--type congruences for the universal Bernoulli polynomials that are related with the Lazard
Tempesta, Piergiulio
core   +4 more sources

On characteristic and permanent polynomials of a matrix

Special Matrices, 2017
There is a digraph corresponding to every square matrix over ℂ. We generate a recurrence relation using the Laplace expansion to calculate the characteristic and the permanent polynomials of a square matrix.
Singh Ranveer, Bapat R. B.
doaj   +1 more source

A Study of the q-Truncated Exponential–Appell Polynomials

Mathematics
This article introduces the 2-variable q-truncated exponential–Appell (q-trunc. exp. Appell) polynomials and investigates their fundamental properties. Specific results are derived for the q-trunc. exp.
Francesco Aldo Costabile, Subuhi Khan, Hassan Ali   +2 more
doaj   +1 more source