In this article, we solve the connection problem of the Hermite polynomi-als with the classical continuous orthogonal polynomials belonging to Askey scheme, using the hypergeometric functions method combined is with the work the Fields and Ismail.

A search for a two-body transition Υ (3S) → γA0, where A0 is a light scalar particle, followed by its decay into 2 muons has been performed using a data sample of (121 ± 1.2) × 106 Υ (3S) decays. As ΓΥ (4S)/ΓΥ (3S) ≈ 10 3, one has greater sensitivity to rare decays using Υ (3S) decays than Υ (4S) samples. The Standard Model (SM) predicts the existence of the Higgs boson to account for the diffe...

Lowest common ancestor algorithms are in [12, 19, 2]. Algorithms to construct suffix trees in linear time are in [22, 18, 21, 5]. Suffix arrays were introduced in [17]. The linear time construction algorithm for suffix arrays is from [14]. The simple construction of the LCP array from the suffix array is from [15]. The k-mismatch problem is discussed in [7, 16, 1]. The FM index is from [6]. Som...

I discuss several aspects of strings as unified theories. After recalling the difficulties of the simplest supersymmetric grand unification schemes I emphasize the distinct features of string unification. An important role in constraining the effective low energy physics from strings is played by duality symmetries. The discussed topics include the unification of coupling constants (computation...

ion is our only mental tool to master complexity.

Meson spectroscopy is an extremely broad subject, covering ππ scattering with √ s < 1 GeV to the heaviest bb̄ states with masses greater than 10 GeV [1,2]. The goal at both ends of the energy scale is to understand QCD in the nonperturbative regime. It is impossible to do justice to such a large body of work in a short talk so I restrict myself to a few selected topics. Many other aspects of mes...

In less than two pages (pp. 54–55) the Campbell-Baker-Hausdorff formula is taken care of, in a proof containing exactly forty-eight English words: the rest is algebraic manipulation. For some of us, myself included, this is an exposition devoutly-to-be-wished; for the complementary set of readers it’s something a lot less than palatable. So, given that Peter W. Michor’s Topics in Differential G...

Part of the interest in neutrino astrophysics has to do with the fascinating interplay between nuclear and particle physics issues — e.g., whether neutrinos are massive and undergo flavor oscillations, whether they have detectable electromagnetic moments, etc. — and astrophysical phenomena, such as the clustering of matter on large scales, the mechanisms responsible for the synthesis of nuclei,...