Results 11 to 20 of about 293,918 (162)
Some New Identities of Genocchi Numbers and Polynomials involving Bernoulli and Euler polynomials [PDF]
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
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Knots, BPS states, and algebraic curves [PDF]
We analyze relations between BPS degeneracies related to Labastida-Marino-Ooguri-Vafa (LMOV) invariants, and algebraic curves associated to knots.
Garoufalidis, Stavros +2 more
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A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus
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
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Generalized degenerate Bernoulli numbers and polynomials arising from Gauss hypergeometric function
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
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Appell polynomials and their relatives [PDF]
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
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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
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Superstring amplitudes, unitarily, and Hankel determinants of multiple zeta values
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
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Random Sampling in Computational Algebra: Helly Numbers and Violator Spaces [PDF]
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
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Theoretical study of energy, inertia and nullity of phenylene and anthracene
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
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Tropical Effective Primary and Dual Nullstellens\"atze [PDF]
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.
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