Computational Methods and Function Theory 6 (2006), No. 2, 471--480
Copyright Heldermann Verlag 2006
Eugene Mukhin
mukhin@math.iupui.edu , Department of Mathematical Sciences, Indiana University --- Purdue University Indianapolis, 402 North Blackford St, Indianapolis, IN 46202-3216, U.S.A.
Alexander Varchenko
anv@email.unc.edu , Department of Mathematics, University of North Carolina at Chapel Hill, Chapel Hill, NC 27599-3250, U.S.A.
For r∈N0, we present a Fuchsian linear differential operator of order r+1 with three singular points at 0,1,∞. This operator annihilates the r-multiple Jacobi-Piñeiro polynomial.
Keywords: Jacobi-Piñeiro multiple orthogonal polynomials, Fuchsian differential operators.
MSC 2000: Primary 34M35; Secondary 17B10, 33C05, 82B20, 82B23.
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