Advanced Search

Match of the following rules

Add Sub-clause

Add Another Rule

Contains the following math formula (red border means the formula is incomplete)

Formula preview

The search session has expired. Please query the service again.

Currently displaying 1 – 2 of 2

Order by Relevance | Title | Year of publication

On integral representations of $q$ -gamma and $q$ -beta functions

Alberto De Sole; Victor G. Kac — 2005

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We study $q$ -integral representations of the $q$ -gamma and the $q$ -beta functions. As an application of these integral representations, we obtain a simple conceptual proof of a family of identities for Jacobi triple product, including Jacobi's identity, and of Ramanujan's formula for the bilateral hypergeometric series.

Super boson-fermion correspondence

Victor G. Kac; J. W. Van de Leur — 1987

Annales de l'institut Fourier

We establish a super boson-fermion correspondence, generalizing the classical boson-fermion correspondence in 2-dimensional quantum field theory. A new feature of the theory is the essential non-commutativity of bosonic fields. The superbosonic fields obtained by the super bosonization procedure from super fermionic fields form the affine superalgebra $\tilde{g} l_{1 | 1}$ . The converse, super fermionization procedure, requires introduction of the super vertex operators. As applications, we give vertex operator constructions...

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 2 of 2

On integral representations of q -gamma and q -beta functions

Super boson-fermion correspondence

On integral representations of $q$ -gamma and $q$ -beta functions