Generation and removal of apparent singularities in linear ordinary   differential equations with polynomial coefficients
  We discuss several examples of generating apparent singular points as a result of differentiating particular homogeneous linear ordinary differential equations with polynomial coefficients and formulate two general conjectures on the generation and removal of apparent singularities in arbitrary Fuchsian differential equations with polynomial coefficients. We consider a model problem in polymer physics. 
S.Yu. Slavyanov, D.A. Satco, A.M. Ishkhanyan and T.A. Rotinyan
math-ph math.MP