Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$

Tülay Erişir; Mehmet Ali Güngör

doi:10.32323/ujma.430853

EN

Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$

Abstract

The generalized complex number system and generalized complex plane were studied by Yaglom [22], [23] and Harkin [7]. Moreover, Holditch-type theorem for linear points in $\mathbb{C}_{p}$ were given by Eri\c{s}ir et al. [6]. The aim of this paper is to find the answers of the questions ''How is the polar moments of inertia calculated for trajectories drawn by non-linear points in $\mathbb{C}_{p}$?'', ''How is Holditch-type theorem expressed for these points in $\mathbb{C}_{p}$?'' and finally ''Is this paper a new generalization of [6]?''.

Keywords

Generalized complex plane,Holditch-type theorem,The polar moment of inertia

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Tülay Erişir ^*
0000-0001-6444-1460
Türkiye

Mehmet Ali Güngör
0000-0003-1863-3183
Türkiye

Publication Date

December 20, 2018

Submission Date

June 5, 2018

Acceptance Date

August 8, 2018

Published in Issue

Year 2018 Volume: 1 Number: 4

DOI

https://doi.org/10.32323/ujma.430853

IZ

https://izlik.org/JA98LL52YT

APA

Erişir, T., & Güngör, M. A. (2018). Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$. Universal Journal of Mathematics and Applications, 1(4), 239-243. https://doi.org/10.32323/ujma.430853

AMA

1.Erişir T, Güngör MA. Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$. Univ. J. Math. Appl. 2018;1(4):239-243. doi:10.32323/ujma.430853

Chicago

Erişir, Tülay, and Mehmet Ali Güngör. 2018. “Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$”. Universal Journal of Mathematics and Applications 1 (4): 239-43. https://doi.org/10.32323/ujma.430853.

EndNote

Erişir T, Güngör MA (December 1, 2018) Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$. Universal Journal of Mathematics and Applications 1 4 239–243.

IEEE

[1]T. Erişir and M. A. Güngör, “Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$”, Univ. J. Math. Appl., vol. 1, no. 4, pp. 239–243, Dec. 2018, doi: 10.32323/ujma.430853.

ISNAD

Erişir, Tülay - Güngör, Mehmet Ali. “Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$”. Universal Journal of Mathematics and Applications 1/4 (December 1, 2018): 239-243. https://doi.org/10.32323/ujma.430853.

JAMA

1.Erişir T, Güngör MA. Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$. Univ. J. Math. Appl. 2018;1:239–243.

MLA

Erişir, Tülay, and Mehmet Ali Güngör. “Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$”. Universal Journal of Mathematics and Applications, vol. 1, no. 4, Dec. 2018, pp. 239-43, doi:10.32323/ujma.430853.

Vancouver

1.Tülay Erişir, Mehmet Ali Güngör. Holditch-Type Theorem for Non-Linear Points in Generalized Complex Plane $\mathbb{C}_{p}$. Univ. J. Math. Appl. 2018 Dec. 1;1(4):239-43. doi:10.32323/ujma.430853