The transformation in the P-Module by hyperbolic numbers

Li J., Li Y., ÇAKIR H., BEKTAŞ Ö., Şenyurt S.

Filomat, cilt.39, sa.22, ss.7735-7749, 2025 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 22
  • Basım Tarihi: 2025
  • Doi Numarası: 10.2298/fil2522735l
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.7735-7749
  • Anahtar Kelimeler: E. Study map, Hyperbolic angle, Hyperbolic numbers, ℙ−modulus
  • Samsun Üniversitesi Adresli: Evet

Özet

Hyperbolic numbers are one of the well-known number systems, like complex numbers. In this paper, we will talk about some properties of hyperbolic numbers, define the P−modulus, and give some properties of the P−modulus. We will also map the points on the unit hyperbolic sphere of the P−module to some special directional lines in E3. Then, we will show the relation between the angle between these directional lines and the hyperbolic angle between the unit hyperbolic vectors.