Hasil untuk "q-fin.PR"

Minbo Yang

N. Mahmudov

The main purpose of this paper is to introduce and investigate a class of generalized Bernoulli polynomials and Euler polynomials based on the q-integers. The q-analogues of well-known formulas are derived. The q-analogue of the Srivastava-Pintér addition theorem is obtained. We give new identities involving q-Bernstein polynomials.

P. B. Kleidman

Martin L. Smith, F. Dahlen

A. Kirillov, N. Reshetikhin

Francesco Brenti

Joshua D. Hartzell, Robert N. Wood-Morris, Luis J Martinez et al.

Tatsuro Ito, K. Tanabe, Paul M. Terwilliger

Let $K$ denote a field, and let $V$ denote a vector space over $K$ with finite positive dimension. Consider a pair of linear transformations $A:V\to V$ and $A^*:V\to V$ that satisfy both conditions below: (i) There exists a basis for $V$ with respect to which the matrix representing $A$ is diagonal, and the matrix representing $A^*$ is irreducible tridiagonal. (ii) There exists a basis for $V$ with respect to which the matrix representing $A^*$ is diagonal, and the matrix representing $A$ is irreducible tridiagonal. Such a pair is called a Leonard pair on $V$. In this paper we introduce a mild generalization of a Leonard pair called a tridiagonal pair. A Leonard pair is the same thing as a tridiagonal pair such that for each transformation all eigenspaces have dimension one.

P. Tseng

T. Kim

Tsutomu Tsunooka, M. Androu, Y. Higashida et al.

T. Smith, N. J. Hunt, S. Donell

L. Waltman, U. Kaymak

C. Fefferman, C. Graham

This article presents a new definition of Branson's Q-curvature in even-dimensional conformal geometry. We derive the Q-curvature as a coefficient in the asymptotic expansion of the formal solution of a boundary problem at infinity for the Laplacian in the Poincare metric associated to the conformal structure. This gives an easy proof of the result of Graham-Zworski that the log coefficient in the volume expansion of a Poincare metric is a multiple of the integral of the Q-curvature, and leads to a definition of a non-local version of the Q-curvature in odd dimensions.

Camillo De Lellis, Emanuele Spadaro

In this note we revisit Almgren's theory of Q-valued functions, that are functions taking values in the space of unordered Q-tuples of points in R^n. In particular: 1) we give shorter versions of Almgren's proofs of the existence of Dir-minimizing Q-valued functions, of their Hoelder regularity and of the dimension estimate of their singular set; 2) we propose an alternative intrinsic approach to these results, not relying on Almgren's biLipschitz embedding; 3) we improve upon the estimate of the singular set of planar Dir-minimizing functions by showing that it consists of isolated points.

Y. Assaf, A. Mayk, Y. Cohen

A. Osyczka, C. Moser, P. Dutton

Stefan Burkhardt, Juha Kärkkäinen

M. Curley, I. Razmus, K. Roberts et al.

Andrew B. Abel, Janice C. Eberly