Results 51 to 60 of about 852,038 (290)

Some Identities of the Frobenius‐Euler Polynomials [PDF]

open access: yesAbstract and Applied Analysis, 2009
By using the ordinary fermionic p‐adic invariant integral on ℤp, we derive some interesting identities related to the Frobenius‐Euler polynomials.
Kim, Taekyun, Lee, Byungje
openaire   +4 more sources

Orthogonal Polynomials, Paraorthogonal Polynomials, and Point Perturbation [PDF]

open access: yes, 2009
This thesis consists of three parts. Part 1 starts with an introduction to orthogonal polynomials, to be followed by some well-known theorems pertinent to the results we shall discuss.
Wong, Manwah Lilian
core   +1 more source

On certain properties of three parametric kinds of Apostol-type unified Bernoulli-Euler polynomials

open access: yesAIMS Mathematics
In this paper, we define the three parametric types of Apostol-type unified Bernoulli-Euler polynomials. We present fundamental properties of these polynomials through the utilization of their generating functions.
William Ramírez   +4 more
semanticscholar   +1 more source

Euler characteristics and chromatic polynomials

open access: yesEuropean Journal of Combinatorics, 2007
This work studies the relation between the chromatic polynomial of a graph \(G\) and the Euler characteristic of certain spaces. These spaces are obtained by a construction which is a generalization of the configuration space. The authors show, in the case that \(G\) has only one point, the following theorem: Let \(G\) be a graph and \(M_G\) the ...
Michael Eastwood, Stephen Huggett
openaire   +2 more sources

Reconfiguration analysis of a 3-DOF parallel mechanism using Euler parameter quaternions and algebraic geometry method [PDF]

open access: yes, 2014
This paper deals with the reconfiguration analysis of a 3-DOF (degrees-of-freedom) parallel mechanism (PM) with multiple operation modes - a disassembly-free reconfigurable PM - using the Euler parameter quaternions and algebraic geometry approach.
Kong, Xianwen
core   +1 more source

On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

open access: yesApplied Mathematics in Science and Engineering
In this work, we consider the degenerate Frobenius-Euler-Genocchi polynomials utilizing the degenerate exponential function and the degenerate Changhee-Frobenius-Euler-Genocchi polynomials utilizing the degenerate logarithm function.
Waseem Ahmad Khan   +3 more
doaj   +1 more source

Explicit Properties of q-Cosine and q-Sine Euler Polynomials Containing Symmetric Structures

open access: yesSymmetry, 2020
In this paper, we introduce q-cosine and q-sine Euler polynomials and determine identities for these polynomials. From these polynomials, we obtain some special properties using a power series of q-trigonometric functions, properties of q-exponential ...
C. Ryoo, J. Kang
semanticscholar   +1 more source

A Note on Euler Numbers and Polynomials [PDF]

open access: yesNagoya Mathematical Journal, 1954
Let Em denote the Euler number in the even suffix notation so that(1.1) where, as usual, after expansion of the left member Er is replaced by Er. Nielsen [4, p. 273] has proved that(1.2)
openaire   +3 more sources

Probabilistic degenerate Bernoulli and degenerate Euler polynomials

open access: yesMathematical and Computer Modelling of Dynamical Systems
Recently, many authors have studied degenerate Bernoulli and degenerate Euler polynomials. Let $Y$Y be a random variable whose moment generating function exists in a neighbourhood of the origin.
Ling-Ling Luo   +3 more
semanticscholar   +1 more source

Properties of Euler Diagrams [PDF]

open access: yes, 2007
Euler diagrams have numerous application areas, with a large variety of languages based on them. In relation to software engineering, such areas encompass modelling and specification including from a formal perspective. In all of these application areas,
Howse, John   +3 more
core   +1 more source

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