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An analog of the spectral analysis of time series is developed for data in general spaces. This is applied to data from an election in which 5738 people rank ordered five candidates. Group theoret...
We provide a simple proof of a generalization of the multivariate Chu-Vandermonde identity recently derived in Favaro et al. (2010a). Exploiting known results for rising factorials and fourth Lauricel...
We study generalization of Kible-Slepian (K-S) expansion formula in 3 dimensions. The generalization is obtained by replacing in K-S formula Hermite polynomials by q-Hermite ones. If such replacement...
In this paper we generalize classical results by Miller and Proth for integers of the form $N=Kp^n+1$. The first generalization of Proth's theorem requires the use of a base which is a $p$-th power n...
Clunie and Hayman proved that if the spherical derivative of an entire function has order of growth sigma then the function itself has order at most sigma+1. We extend this result to holomorphic curv...
We extend the inequality of Audenaert et al to general von Neumann algebras.
Let $A$ be a Banach algebra and $A^{**}$ be the second dual of it. We show that by some new conditions, $A$ is weakly amenable whenever $A^{**}$ is weakly amenable. We will study this problem under g...
We analyze a generalization of the sine-Gordon equation in laboratory coordinates on the half-line. Using the Fokas transform method for the analysis of initial-boundary value problems for integrable ...
The purpose of this paper is to evaluate the limit of the sequence where . We give some lower and upper estimates for
In the present paper, we introduce a sequence of linear operators, which is a higher order generalization of positive linear operators defined by a class of Borel measures studied in [2]. Then, using ...
By considering the "kinetic-energy" term of the minimum principle for the Schr\"{o}dinger equation as a measure of information, that minimum principle is viewed as a statistical estimation procedure,...

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