The generalized Krawtchouk polynomials and the fifth Painlev\'e equation
  We study the recurrence coefficients of the orthogonal polynomials with respect to a semi-classical extension of the Krawtchouk weight. We derive a coupled discrete system for these coefficients and show that they satisfy the fifth Painlev\'e equation when viewed as functions of one of the parameters in the weight. 
Lies Boelen, Galina Filipuk, Christophe Smet, Walter Van Assche, Lun   Zhang
math.CA