Results 11 to 20 of about 293,918 (162)

Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]

open access: yes, 2013
In this paper, we will deal with some new formulae for two product Genocchi polynomials together with both Euler polynomials and Bernoulli polynomials. We get some applications for Genocchi polynomials.
Acikgoz, Mehmet   +2 more
core   +3 more sources

Knots, BPS states, and algebraic curves [PDF]

open access: yes, 2015
We analyze relations between BPS degeneracies related to Labastida-Marino-Ooguri-Vafa (LMOV) invariants, and algebraic curves associated to knots.
Garoufalidis, Stavros   +2 more
core   +2 more sources

A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus

open access: yesJournal of Inequalities and Applications, 2018
Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields such as operator theory, CAGD, and number theory. In order to obtain the fundamental properties and results of Bernstein polynomials by using (p,q) $(p,q)$-calculus ...
Erkan Agyuz, Mehmet Acikgoz
doaj   +1 more source

Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function

open access: yesAdvances in Difference Equations, 2021
A new family of p-Bernoulli numbers and polynomials was introduced by Rahmani (J. Number Theory 157:350–366, 2015) with the help of the Gauss hypergeometric function.
Taekyun Kim   +4 more
doaj   +1 more source

Appell polynomials and their relatives [PDF]

open access: yes, 2004
This paper summarizes some known results about Appell polynomials and investigates their various analogs. The primary of these are the free Appell polynomials.
Anshelevich, Michael
core   +4 more sources

Periodic solutions of a differential perturbed system via the averaging theory and the Melnikov method

open access: yesJournal of Innovative Applied Mathematics and Computational Sciences, 2023
In this paper, we will study the maximum number of limit cycles of a perturbed differential system with respect to its parameters which appear in the system specially on the degree of the polynomials.
Sana Karfes, Elbahi Hadidi
doaj   +1 more source

Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values

open access: yesJournal of High Energy Physics, 2019
The interplay of unitarity and analyticity has long been known to impose strong constraints on scattering amplitudes in quantum field theory and string theory. This has been highlighted in recent times in a number of papers and lecture notes.
Michael B. Green, Congkao Wen
doaj   +1 more source

Random Sampling in Computational Algebra: Helly Numbers and Violator Spaces [PDF]

open access: yes, 2015
This paper transfers a randomized algorithm, originally used in geometric optimization, to computational problems in commutative algebra. We show that Clarkson's sampling algorithm can be applied to two problems in computational algebra: solving large ...
De Loera, Jesús A.   +2 more
core   +3 more sources

Theoretical study of energy, inertia and nullity of phenylene and anthracene

open access: yesOpen Chemistry, 2021
Energy of a molecule plays an important role in physics, chemistry and biology. In mathematics, the concept of energy is used in graph theory to help other subjects such as chemistry and physics.
Ahmad Zaheer   +4 more
doaj   +1 more source

Tropical Effective Primary and Dual Nullstellens\"atze [PDF]

open access: yes, 2015
Tropical algebra is an emerging field with a number of applications in various areas of mathematics. In many of these applications appeal to tropical polynomials allows to study properties of mathematical objects such as algebraic varieties and algebraic
Grigoriev, Dima, Podolskii, Vladimir V.
core   +3 more sources

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