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 Recent Issues Online First Volume 1, Issue 1

### Beta super-functions on super-Grassmannians

Pages: xx – xx

#### Authors

Mee Seong Im and Michaƚ Zakrzewski

#### Abstract

Israel M. Gelfand gave a geometric interpretation for general hypergeometric functions as sections of the tautological bundle over a complex Grassmannian $$G_{k,n}$$. In particular, the beta function can be understood in terms of $$G_{2,3}$$. In this manuscript, we construct one of the simplest generalizations of the Euler beta function by adding arbitrary many odd variables to the classical setting. We also relate the beta super-function to the gamma and the hypergeometric function.

Full Text (coming soon)

Received: 20 April 2019; Accepted: 23 June 2019.