Hasil untuk "q-fin.PR"

W. A. Simpson, J. S. Frame

R. Fiete

D. L. Anderson, R. S. Hart

Daniela Puttenat

L. Carlitz

P. Nicod, E. Gilpin, H. Dittrich et al.

A. Cohen, S. Coleman, H. Georgi et al.

Kimyeong Lee, Jaime A. Stein-Schabes, R. Watkins et al.

R. Dipper, G. James

J. Tsitsiklis

G. Hartwell, P. Howe

A family of harmonic superspaces associated with four-dimensional Minkowski space-time is described. Applications are made to free massless supermultiplets, invariant integrals and super-Yang-Mills theory. Generalization to curved space-times is performed, with emphasis on conformal supergravities.

R. Goel, J. Jethwa, A. Paithankar

J. Ackland, D. Worswick, B. Marmion

R. Livne

T. Koornwinder

This paper is mostly a survey, with a few new results. The first part deals with functional equations for q-exponentials, q-binomials and q-logarithms in q-commuting variables and more generally under q-Heisenberg relations. The second part discusses translation invariance of Jackson integrals, q-Fourier transforms and the braided line.

M. King, J. Houseman, S. Roussel et al.

E. Koelink, Rene F. Swarttouw

For the Bessel function \begin{equation} \label{bessel} J_{\nu}(z) = \sum\limits_{k=0}^{\infty} \frac{(-1)^k \left( \frac{z}{2} \right)^{\nu+2k}}{k! \Gamma(\nu+1+k)} \end{equation} there exist several $q$-analogues. The oldest $q$-analogues of the Bessel function were introduced by F. H. Jackson at the beginning of this century, see M. E. H. Ismail \cite{Is1} for the appropriate references. Another $q$-analogue of the Bessel function has been introduced by W. Hahn in a special case and by H. Exton in full generality, see R. F. Swarttouw \cite{Sw1} for a historic overview. Here we concentrate on properties of the Hahn-Exton $q$-Bessel function and in particular on its zeros and the associated $q$-Lommel polynomials.

Xingyu Zhang, Shengzhi Zhao, Qingpu Wang et al.

G. James, Andrew Mathas

M. Volkov, Erik Woehnert

We present numerical evidence for the existence of spinning generalizations for nontopological Q-ball solitons in the theory of a complex scalar field with a nonrenormalizable self-interaction. To the best of our knowledge, this provides the first explicit example of spinning solitons in $(3+1)$-dimensional Minkowski space. In addition, we find an infinite discrete family of radial excitations of nonrotating Q-balls, and construct also spinning Q-balls in $2+1$ dimensions.