Yazar "Alp, M." seçeneğine göre listele

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    CAT(1)-POLYGROUPS AND PULLBACK CAT(1)-POLYGROUPS
    (SPRINGER SINGAPORE PTE LTD, 2014) Davvaz, B.; Alp, M.
    In this paper, we give the notions of crossed polymodule and cat(1)-polygroup as a generalization of Loday's definition. Then, we define the pullback cat(1)-polygroup and we obtain some results in this respect. Specially, we prove that by a pullback cat(1)-polygroup we can obtain a cat(1)-group.
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    k-generalized fibonacci numbers close to the form 2a + 3b + 5c
    (Univerzita Komenskeho, 2017) Irmak, N.; Alp, M.
    The k-generalized Fibonacci sequence (formula presented) is defined as the sum of the k proceeding terms and initial conditions are 0,…,0, 1 (k terms). In this paper, we solve the diophantine equation (formula presented), where a, b, c and ? are nonnegative integers with max {a, b} ? c and 0 ? ? ? 5. This work generalizes a recent Marques [9] and the first author, Szalay [6] results. © 2017, Univerzita Komenskeho. All rights reserved.
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    k-GENERALIZED FIBONACCI NUMBERS CLOSE TO THE FORM 2a | 3b | 5c
    (Comenius Univ, 2017) Irmak, N.; Alp, M.
    The k-generalized Fibonacci sequence {F-n((k))}(n >= 0) is defined as the sum of the k proceeding terms and initial conditions are 0, ..., 0, 1 (k terms). In this paper, we solve the diophantine equation F-n((k)) = 2(a) + 3(b) + 5(c) + delta, where a, b, c and delta are nonnegative integers with max {a, b} <= c and 0 <= delta <= 5. This work generalizes a recent Marques [9] and the first author, Szalay [6] results.
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    TWO-PERIODIC TERNARY RECURRENCES AND THEIR BINET-FORMULA
    (Comenius Univ, 2012) Alp, M.; Irmak, N.; Szalay, L.
    The properties of k-periodic binary recurrences have been discussed by several authors. In this paper, we define the notion of the two-periodic ternary linear recurrence. First we follow Cooper's approach to obtain the corresponding recurrence relation of order six. Then we provide explicit formulae linked to the three possible cases.