Seminar in 5 December

[Alexander Kryukov]

Dear Colleagues,


Nest seminar on Computer algebra will be in


Wednesday, December, 5, 17:00 (room 3-24, building KFVE, Institute of
Nuclear Physics, Moscow State University).





          Stable Calculations of Special Functions in MAPLE

                      S.L.Skorokhodov
      ( Computing Center, Russian Academy of Sciences, Moscow )



A problem of cancellation is one of the most important problems in
computational mathematics. Some bright examples from the theory of
functions and finite differences are given in connection with the problem.

The problem of stable summing of generalized hypergeometric series is
considered. An effective technique of solution to the problem in MAPLE is
given.

The problem of analytic continuation of function, one of the most
important problems in theory of functions, is considered. The method of
re-expansion, it's connection with the finite difference equations and the
theory of O.Perron is considered. Stable realization of this approach in
MAPLE is demonstrated for Gauss hypergeometric function.

The problem of existing of multiple poles for analytic continuation of
some special functions is considered. The method of regularization for
effective elimination of the poles in MAPLE is discussed.


More details you will see at web page:

             http://theory.sinp.msu.ru/CA

     best wishes,          A.Kryukov

-- 
===============================================================
         Alexander Kryukov         Nuclear Physics Institute
                                   Moscow State University
                                   119899, Moscow
                                   Russia
===============================================================