Acceleration Method for Infinite Alternate Series by Boole Summation Formula

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  • Booleの総和公式による無限交代級数の加速法
  • Boole ノ ソウワ コウシキ ニ ヨル ムゲン コウタイ キュウスウ ノ カソクホウ

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The arithmetic operations and functions of Taylor series can be defined by Fortran 90 and C++ programming language. The functions which consist of arithmetic operations, pre-defined functions and conditional statements can be expanded in Taylor series. The differential coefficients of the function can be gotten easily from its coefficients of Taylor series. Applying differential coefficients of the function to Boole summation formula gives an effective acceleration method of an infinite alternate series.

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