# The Sum and Product of Finite Sequences of Complex Numbers

Keiichi Miyajima; Takahiro Kato

Formalized Mathematics (2010)

- Volume: 18, Issue: 2, page 107-111
- ISSN: 1426-2630

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topKeiichi Miyajima, and Takahiro Kato. "The Sum and Product of Finite Sequences of Complex Numbers." Formalized Mathematics 18.2 (2010): 107-111. <http://eudml.org/doc/266873>.

@article{KeiichiMiyajima2010,

abstract = {This article extends the [10]. We define the sum and the product of the sequence of complex numbers, and formalize these theorems. Our method refers to the [11].},

author = {Keiichi Miyajima, Takahiro Kato},

journal = {Formalized Mathematics},

language = {eng},

number = {2},

pages = {107-111},

title = {The Sum and Product of Finite Sequences of Complex Numbers},

url = {http://eudml.org/doc/266873},

volume = {18},

year = {2010},

}

TY - JOUR

AU - Keiichi Miyajima

AU - Takahiro Kato

TI - The Sum and Product of Finite Sequences of Complex Numbers

JO - Formalized Mathematics

PY - 2010

VL - 18

IS - 2

SP - 107

EP - 111

AB - This article extends the [10]. We define the sum and the product of the sequence of complex numbers, and formalize these theorems. Our method refers to the [11].

LA - eng

UR - http://eudml.org/doc/266873

ER -

## References

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- [10] Czesław Byliński. The sum and product of finite sequences of real numbers. Formalized Mathematics, 1(4):661-668, 1990.
- [11] Keith E. Hirst. Numbers, Sequences and Series. Butterworth-Heinemann, 1984.
- [12] Jarosław Kotowicz. Convergent real sequences. Upper and lower bound of sets of real numbers. Formalized Mathematics, 1(3):477-481, 1990.
- [13] Andrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329-334, 1990.
- [14] Andrzej Trybulec and Czesław Byliński. Some properties of real numbers. Formalized Mathematics, 1(3):445-449, 1990.
- [15] Edmund Woronowicz. Relations and their basic properties. Formalized Mathematics, 1(1):73-83, 1990.

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