TY  - JOUR
T1  - On Dual Hyperbolic Narayana and Narayana-Lucas Hybrid Quaternions
AU  - Kumar, Pankaj
AU  - Kapoor, Shilpa
PY  - 2025
DA  - September
Y2  - 2025
DO  - 10.32323/ujma.1686437
JF  - Universal Journal of Mathematics and Applications
JO  - Univ. J. Math. Appl.
PB  - Emrah Evren KARA
WT  - DergiPark
SN  - 2619-9653
SP  - 116
EP  - 125
VL  - 8
IS  - 3
LA  - en
AB  - In this present communication, we introduce the novel concepts of dual hyperbolic Narayana quaternions and dual hyperbolic Narayana-Lucas quaternions within the framework of hybrid numbers. We also explore the connections between these newly defined quaternions and examine the mathematical properties they share. Additionally, we find the recurrence relations, Binet formulas, generating functions, exponential generating functions, and other meaningful identities. These newly introduced quaternions have significant applications in the fields of quantum physics, computer graphics, and robotics. Additionally, these identities and relationships we established also play an important role in the field of number theory and combinatorics.
KW  - Hybrid number
KW  - Hyperbolic
KW  - Narayana-Lucas sequence
KW  - Quaternions
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UR  - https://doi.org/10.32323/ujma.1686437
L1  - https://dergipark.org.tr/en/download/article-file/4817058
ER  -