Browsing by Author "Firengiz, M. Cetin"

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    Generalized Euler-Seidel Method for Second Order Recurrence Relations
    (2014) Firengiz, M. Cetin; Dil, A.; 0000-0002-9588-0295; C-4040-2012; HNQ-9215-2023
    We obtain identities for the generalized second order recurrence relation by using the generalized Euler-Seidel matrix with parameters x, y. As a consequence, we give some properties and generating functions of well-known special integer sequences.
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    On The Q - Seidel Matrix
    (2014) Firengiz, M. Cetin; Tuglu, Naim; https://orcid.org/0000-0002-9588-0295; HNQ-9215-2023
    Clarke and et. al recently introduced the q-Seidel matrix, and obtained some properties. In this article, we define a different form of q-Seidel matrix by a(n)(k) (x, q) = xq(n+2k-3)a(n)(k-1) (x, q)+an(k-1)(x, q)+a(n+1)(k-1) with k >= 1, n >= 0 for an initial sequence a(n)(0) (x, q) = a(n) (x, q). By using our definition, we obtain several properties of the q-analogues of generalized Fibonacci and Lucas polynomials.
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    Some Identities for Fibonacci and Incomplete Fibonacci p-Numbers via the Symmetric Matrix Method
    (2014) Firengiz, M. Cetin; Tasci, Dursun; Tuglu, Naim; 0000-0002-9588-0295; HNQ-9215-2023
    We obtain some new formulas for the Fibonacci and Lucas p-numbers, by using the symmetric infinite matrix method. We also give some results for the Fibonacci and Lucas p-numbers by means of the binomial inverse pairing.