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## The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties

#### Şükran UYGUN [1]

In this study, new formulas for the nth power of (s,t)-Jacobsthal and (s,t)-Jacobsthal Lucas special matrix sequences are established by using determinant and trace of the matrices. By these formulas, some identities for (s,t)-Jacobsthal and (s,t)-Jacobsthal Lucas sequences are obtained. The formulas for finding the nth power for classic Jacobsthal and Jacobsthal Lucas matrix sequences are also derivable if we choose s=t=1.
Jacobsthal numbers, recurrence relations, special matrices
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Primary Language en Mathematics Research Article Orcid: 0000-0002-7878-2175Author: Şükran UYGUNInstitution: Gaziantep UniversityCountry: Turkey Publication Date : March 30, 2021
 Bibtex @research article { jnt553840, journal = {Journal of New Theory}, issn = {}, eissn = {2149-1402}, address = {Mathematics Department, Gaziosmanpasa University 60250 Tokat-TURKEY.}, publisher = {Gaziosmanpasa University}, year = {2021}, volume = {}, pages = {12 - 19}, doi = {}, title = {The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties}, key = {cite}, author = {Uygun, Şükran} } APA Uygun, Ş . (2021). The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties . Journal of New Theory , (34) , 12-19 . Retrieved from https://dergipark.org.tr/en/pub/jnt/issue/61070/553840 MLA Uygun, Ş . "The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties" . Journal of New Theory (2021 ): 12-19 Chicago Uygun, Ş . "The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties". Journal of New Theory (2021 ): 12-19 RIS TY - JOUR T1 - The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties AU - Şükran Uygun Y1 - 2021 PY - 2021 N1 - DO - T2 - Journal of New Theory JF - Journal JO - JOR SP - 12 EP - 19 VL - IS - 34 SN - -2149-1402 M3 - UR - Y2 - 2021 ER - EndNote %0 Journal of New Theory The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties %A Şükran Uygun %T The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties %D 2021 %J Journal of New Theory %P -2149-1402 %V %N 34 %R %U ISNAD Uygun, Şükran . "The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties". Journal of New Theory / 34 (March 2021): 12-19 . AMA Uygun Ş . The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties. JNT. 2021; (34): 12-19. Vancouver Uygun Ş . The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties. Journal of New Theory. 2021; (34): 12-19. IEEE Ş. Uygun , "The nth Power of Generalized (s, t)-Jacobsthal and (s, t)-Jacobsthal Lucas Matrix Sequences and Some Combinatorial Properties", Journal of New Theory, no. 34, pp. 12-19, Mar. 2021

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