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逆関数のTaylor展開 Taylor expansion of inverse function 舘野, 裕文 Tateno, Hirofumi 平山, 弘 Hirayama, Hiroshi taylor expansion inverse function application/pdf Though the Taylor series is mathematically basic and important, it has not been used enough in numerical analysis presently. The Taylor series of inverse functions is important to application. In this paper, we compared efficiency of following calculation methods the Picard's method of successive approximation of solving the differential equation of an inverse function, famous the Lagrange inversion formula and the formal Newton's method to inverse functions. We also show that it is possible easily to calculate the maximum and minimum values of the gamma function. 神奈川工科大学 2009-03-20 jpn departmental bulletin paper VoR https://doi.org/10.34411/00001036 http://hdl.handle.net/10368/21396 https://kait.repo.nii.ac.jp/records/1043 10.34411/00001036 AN10074179 09161902 神奈川工科大学研究報告.B,理工学編 33 59 66 https://kait.repo.nii.ac.jp/record/1043/files/kkb-033-012.pdf application/pdf 847.2 kB 2012-03-01