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The explicit expressions for the non-singlet and singlet components of the DIS structure function g_1 comprising the DGLAP -expressions for the coefficient functions and the anomalous dimensions, and accounting for the total resummation of…

High Energy Physics - Phenomenology · Physics 2017-08-23 B. I. Ermolaev , M. Greco , S. I. Troyan

Some recent results in supersymmetric grand unified theories are reviewed.

High Energy Physics - Phenomenology · Physics 2007-05-23 V. Barger , M. S. Berger , P. Ohmann

Recently we have shown a structure theorem for locally compact groups of polynomial growth. We give now some applications on various growth functions and relations to FC-G - series. In addition, we show some results on related classes of…

Group Theory · Mathematics 2021-04-27 Viktor Losert

Some general comments are made on the evolution of this series of workshops and on some features of this particular Workshop without attempting to summarize all the talks presented.

Nuclear Theory · Physics 2008-11-26 Rudolph C. Hwa

The longitudinal structure function in deep inelastic scattering is one of the observables from which the gluon distribution can be unfolded. Consequently, this observable can be used to constrain the QCD dynamics at small $x$. In this work…

High Energy Physics - Phenomenology · Physics 2011-09-13 V. P. Goncalves , M. V. T. Machado

This is a survey on the local structure about a fixed point of discrete finite-dimensional holomorphic dynamical systems, discussing in particular the existence of local topological conjugacies to normal forms, and the structure of local…

Dynamical Systems · Mathematics 2007-05-23 Marco Abate

We review several recent developments in the theory and phenomenology of deep-inelastic scattering, with particular emphasis on precision tests of QCD and progress in the detailed perturbative treatment of structure functions and parton…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefano Forte

The present knowledge of the structure of the photon is presented based on results obtained by measurements of photon structure functions at e+e- collider. Results are presented both for the QED structure of the photon as well as for the…

High Energy Physics - Experiment · Physics 2009-07-17 Richard Nisius

The longitudinal structure function for nucleons and nuclei is considered at fixed $\sqrt{s}$ and $Q^2$ to the minimum value of $x$ given by $Q^2/s$. This is done using the expansion method and color dipole model in the next-to-leading…

High Energy Physics - Phenomenology · Physics 2025-10-21 G. R. Boroun

The authors survey recent results in special functions, particularly the gamma function and the Gaussian hypergeometric function.

Classical Analysis and ODEs · Mathematics 2007-12-27 G. D. Anderson , M. K. Vamanamurthy , M. Vuorinen

In this paper, we introduce a new subclass of close-to-convex harmonic functions. We present a sufficient coefficient condition for a function to be a member of this class. Furthermore, we establish a distortion theorem. These results lay…

Complex Variables · Mathematics 2025-02-10 Serkan Çakmak , Sibel Yalçin

Expanding upon recent work, a new class of $A$-functions is introduced that can be viewed as an appropriate generalization of the class of regular $A$-functions, the class of structured $A$-functions, and the class of perfect $A$-functions.…

Number Theory · Mathematics 2022-03-01 Joseph Burnett , Alex Taylor

I present a summary of the last in the series of HERA-LHC workshops, CERN, 26-30th May 2008.

High Energy Physics - Phenomenology · Physics 2015-05-13 Robert S Thorne

A complex-analytic structure within the unit disk of the complex plane is presented. It can be used to represent and analyze a large class of real functions. It is shown that any integrable real function can be obtained by means of the…

Complex Variables · Mathematics 2019-02-19 Jorge L. deLyra

Reduced sh-Lie structures have been studied for the case when a Lie group acts on the fibers of a vector bundle while preserving the base space of the bundle. In this paper we investigate how one obtains a reduced sh-Lie structure using the…

Mathematical Physics · Physics 2007-05-23 Samer Al-Ashhab

I survey some recent developments in the theory of zeta functions associated to infinite groups and rings, specifically zeta functions enumerating subgroups and subrings of finite index or finite-dimensional complex representations.

Group Theory · Mathematics 2014-09-30 Christopher Voll

We will discuss recent results for the spin structure functions, with an emphasis on g2 . High precision g2 data allows for tests of the Burkhardt-Cottingham sum rule, and is needed to consistently evaluate higher twist effects.

Nuclear Experiment · Physics 2009-08-24 K. Slifer

We summarize recent developments in the understanding of nucleon structure. New data on F2, R and F2c, over a wide range of Q2 and x, are described. Conventional leading twist NLO perturbative QCD gives an excellent account of all the new…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. D. Ball , A. De Roeck

The longitudinal structure function is considered at the next-to-leading order approximation using the expansion method, as defined by M.B.Gay Ducati and P.B.Goncalves [Phys.Lett.B {\bf390}, 401 (1997)] and further developed by Jingxuan…

High Energy Physics - Phenomenology · Physics 2025-04-04 G. R. Boroun , Yanbing Cai

With short resumes and highlights the discussions in the different working groups of the workshop MPI@LHC 2012 is documented.