Robert E Gaunt,Siqi Li,Heather L Sutcliffe
Robert E Gaunt
We derive the exact probability density function of the product of N independent variance-gamma random variables with zero location parameter. We then apply this formula to derive formulas for the cumulative distribution function and charac...
Christian Bargetz,Jerzy Kąkol,Damian Sobota
Christian Bargetz
We study the existence of continuous (linear) operators from the Banach spaces Lip 0 ( M ) of Lipschitz functions on infinite metric spaces M vanishing at a distinguished point and from their predual spaces F ( M ) onto certain Banac...
Volker Branding,Georges Habib
Volker Branding
We derive various eigenvalue estimates for the Hodge Laplacian acting on differential forms on weighted Riemannian manifolds. Our estimates unify and extend various results from the literature and provide a number of geometric applications....
Murray R Bremner,Jose Brox,Juana Sánchez-Ortega
Murray R Bremner
We study polynomial identities satisfied by the mutation product xpy-yqx on the underlying vector space of an associative algebra A, where p, q are fixed elements of A. We simplify known results for identities in degree 4, proving that only...
Matteo Raffaelli
Matteo Raffaelli
We study ruled submanifolds of Euclidean space. First, to each (parametrized) ruled submanifold σ, we associate an integer-valued function, called degree, measuring the extent to which σ fails to be cylindrical. In particular, we ...
Martin Kilian,Christian Müller,Jonas Tervooren
Martin Kilian
Cone-nets are conjugate nets on a surface such that along each individual curve of one family of parameter curves there is a cone in tangential contact with the surface. The corresponding conjugate curve network is projectively invariant an...
New q-Analogues of Van Hamme's (E.2) Supercongruence and of a Supercongruence by Swisher [0.03%]
新的q-范式Hamme(E.2)超拟同余式和Swisher的一个超拟同余式的q-类比
Victor J W Guo,Michael J Schlosser
Victor J W Guo
In this paper, a couple of q-supercongruences for truncated basic hypergeometric series are proved, most of them modulo the cube of a cyclotomic polynomial. One of these results is a new q-analogue of the (E.2) supercongruence by Van Hamme,...
Optimal Flat Functions in Carleman-Roumieu Ultraholomorphic Classes in Sectors [0.03%]
Carleman-Roumieu超双正则类中扇形区域上的最优平坦函数
Javier Jiménez-Garrido,Ignacio Miguel-Cantero,Javier Sanz et al.
Javier Jiménez-Garrido et al.
We construct optimal flat functions in Carleman-Roumieu ultraholomorphic classes associated to general strongly nonquasianalytic weight sequences, and defined on sectors of suitably restricted opening. A general procedure is presented in or...
Equality of Ultradifferentiable Classes by Means of Indices of Mixed O-regular Variation [0.03%]
通过混合O-正规变化指标的超微分类的平等性
Javier Jiménez-Garrido,Javier Sanz,Gerhard Schindl
Javier Jiménez-Garrido
We characterize the equality between ultradifferentiable function classes defined in terms of abstractly given weight matrices and in terms of the corresponding matrix of associated weight functions by using new growth indices. These indice...
Leonardo Alese
Leonardo Alese
Given a pair of real functions (k, f), we study the conditions they must satisfy for k + λ f to be the curvature in the arc-length of a closed planar curve for all real λ . Several equivalent conditions are pointed out, certain p...