Computational Methods and Function Theory 9 (2009), No. 1, 47--55
Copyright Heldermann Verlag 2009
Andrei B. Bogatyrëv
gourmet@inm.ras.ru , Inst. Num. Math. RAS, ul. Gubkina 8, Moscow GSP-1, 119333, Russia.
A new efficient variational formula for the Kleinian prime form (factor) in the frame of the Schottky model of Riemann surfaces is presented. We also give an elementary explanation for the choice of the sign in the transformation formula for the prime factor.
Keywords: Riemann surface, prime form, Schottky uniformization, variational formula.
MSC 2000: 30F10, 14H15.
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