Yazar "Yamaç Akbıyık, Seda" için listeleme
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De Moivre's and Euler Formulas for Matrices of Hybrid Numbers
Akbıyık, Mücahit; Yamaç Akbıyık, Seda; Karaca, Emel; Yılmaz, Fatih (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021)It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual numbers. Recently, they have attracted the attention of many scientists. At this paper, we provide the Euler’s and De Moivre’s ... -
De Moivre-Type Identities For The Padovan Numbers
Akbıyık, Mücahit; Yamaç Akbıyık, Seda; Alo, Jeta (Muhammet Kurulay, 2021)At this work, we give a method for constructing the Perrin and Padovan sequences and obtain the De Moivre-type identity for Padovan numbers. Also, we define a Padovan sequence with new initial conditions and find some ... -
De Moivre-Type Identities for the Pell Numbers
Yamaç Akbıyık, Seda; Akbıyık, Mücahit (Matematikçiler Derneği, 2021)This paper aims to present a method for constructing the second order Pell and Pell-Lucas numbers and the third order Pell and Pell-Lucas numbers. Moreover, we obtain the De Moivre-type identities for these numbers. In ... -
A New Approach to Technical Analysis of Oil Prices
Akbıyık, Mücahit; Yamaç Akbıyık, Seda; Tura, Ümit; Erer, Elif; Çalış, Mehtap; Kaya, Ferudun (Matematikçiler Derneği, 2023)The aim of this study is to investigate the oil prices, which have crucial impact of an economy, using new ratios called Nickel ratios instead of the golden ratios on technical analysis. The Nickel ratios are developed ... -
On linear algebra of one type of symmetric matrices with harmonic Fibonacci entries
Akbıyık, Mücahit; Yamaç Akbıyık, Seda; Yılmaz, Fatih (BULGARIAN ACAD SCIENCE, CENTRAL LIBRARY 7 NOEMVRI NO 1, SOFIA 00000, BULGARIA, 2022)This paper focuses on a specially constructed matrix whose entries are harmonic Fibonacci numbers and considers its Hadamard exponential matrix. A lot of admiring algebraic properties are presented for both of them. Some ... -
One Type of Symmetric Matrix with Harmonic Pell Entries, Its Inversion, Permanents and Some Norms
Yamaç Akbıyık, Seda; Akbıyık, Mücahit; Yılmaz, Fatih (MDPI, ST ALBAN-ANLAGE 66, CH-4052 BASEL, SWITZERLAND, 2021)The Pell numbers, named after the English diplomat and mathematician John Pell, are studied by many authors. At this work, by inspiring the definition harmonic numbers, we define harmonic Pell numbers. Moreover, we ...
