Related papers: Old and new applications of Katona's circle

In this short review, I'll discuss the background, applicability and prospects of collinear factorization in quantum chromodynamics.

A new kind of deformed calculus was introduced recently in studying of parabosonic coordinate representation. Based on this deformed calculus, a new deformation of Legendre polynomials is proposed in this paper, some properties and…

In this paper we provide an application to the Neumann problem of a recent three critical points theorem.

We study some properties of a triad of circles associated with a triangle. Each circle is inside the triangle, tangent to two sides of the triangle, and externally tangent to the circle on the third side as diameter. In particular, we find…

Some solutions of the Heavenly equations and their generalizations are considered

A new class of alternating convolutions concerning binomial coefficients and Catalan numbers are evaluated in closed forms.

Canonical framings and stable framings for the tangent bundle of a spin 3-manifold are introduced, and illustrated by a number of familiar examples. Methods for constructing canonical framings, and for comparing them with other naturally…

A new mechanism for the parity doublers in hadrons is suggested.

An updated determination of the parameters of the Cabibbo-Kobayashi-Maskawa matrix is presented.

This paper deals with an extension of a recent result by the authors generalizing Kannan's fixed point theorem based on a theorem of Vittorino Pata. The generalization takes place via a cyclical condition.

Inspired by the Kruskal-Katona theorem a minimization problem is studied, where the role of the shadow is replaced by the image of the action of the monoid of increasing functions. One of our main results shows that compressed sets are a…

A review of the superstatistics concept is provided, including various recent applications to complex systems.

Various contributions to the cosmological constant are discussed and confronted with its recent measurement. We briefly review different scenarious -- and their difficulties -- for a solution of the cosmological constant problem.

Kato's second representation theorem is generalized to solvable sesquilinear forms. These forms need not be non-negative nor symmetric. The representation considered holds for a subclass of solvable forms (called hyper-solvable), precisely…

Examples are worked out using a new equation proposed in the previous paper to show that it has new physical predictions for mesoscopic systems.

A generalization of the law of total covariance is presented and proved.

We discuss several existing proofs of the value of a quartic integral and present a new proof that evolved from rational Landen transformations.

Convolution sums are introduced and special instances of the cyclic convolution on finite sets is examined in more detail. The distributions that emerge are multidimensional generalizations of the Catalan and Narayana numbers. This work…

This article proves a Pythagoras-type formula for the sides and diagonals of a polygon inscribed in a semicircle having one of the sides of the polygon as diameter.

Inversion of function sinc(x) is studied. New series and integral representations of branches of inverse function are obtained using Fourier analysis.