# Riemann Integral of Functions R into C

Keiichi Miyajima; Takahiro Kato; Yasunari Shidama

Formalized Mathematics (2010)

- Volume: 18, Issue: 4, page 201-206
- ISSN: 1426-2630

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topKeiichi Miyajima, Takahiro Kato, and Yasunari Shidama. "Riemann Integral of Functions R into C." Formalized Mathematics 18.4 (2010): 201-206. <http://eudml.org/doc/267085>.

@article{KeiichiMiyajima2010,

abstract = {In this article, we define the Riemann Integral on functions R into C and proof the linearity of this operator. Especially, the Riemann integral of complex functions is constituted by the redefinition about the Riemann sum of complex numbers. Our method refers to the [19].},

author = {Keiichi Miyajima, Takahiro Kato, Yasunari Shidama},

journal = {Formalized Mathematics},

language = {eng},

number = {4},

pages = {201-206},

title = {Riemann Integral of Functions R into C},

url = {http://eudml.org/doc/267085},

volume = {18},

year = {2010},

}

TY - JOUR

AU - Keiichi Miyajima

AU - Takahiro Kato

AU - Yasunari Shidama

TI - Riemann Integral of Functions R into C

JO - Formalized Mathematics

PY - 2010

VL - 18

IS - 4

SP - 201

EP - 206

AB - In this article, we define the Riemann Integral on functions R into C and proof the linearity of this operator. Especially, the Riemann integral of complex functions is constituted by the redefinition about the Riemann sum of complex numbers. Our method refers to the [19].

LA - eng

UR - http://eudml.org/doc/267085

ER -

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