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TEKCAN, AHMET

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TEKCAN

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AHMET

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2015 - 201942020 - 20213
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Now showing 1 - 7 of 7
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    Publication
    K- Almost balancing numbers
    (Centre Environment Social & Economic Research Publication-ceser, 2021-01-01) Tekcan, Ahmet; TEKCAN, AHMET; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; AAH-8518-2021
    In this work, we determine the general terms of k-almost balancing numbers and k-almost Lucas-balancing numbers of first and second type in terms of balancing and Lucas-balancing numbers for some integer k >= 1.
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    Publication
    Almost balancing, triangular and square triangular numbers
    (Bulgarian Acad Science, 2019-01-01) Tekcan, Ahmet; TEKCAN, AHMET; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü.; AAH-8518-2021
    In this work, we derive some new algebraic relations on all almost balancing numbers (of first and second type) and triangular (and also square triangular) numbers.
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    Publication
    k-almost cobalancing numbers
    (Centre Environment Social & Economic Research Publ-ceser, 2020-01-01) Tekcan, Ahmet; TEKCAN, AHMET; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; AAH-8518-2021
    The general terms of k-almost cobalancing numbers and k-almost Lucas-cobalancing numbers are determined for an integer k >= 1.
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    Publication
    T-cobalancing numbers and T-cobalancers
    (Bulgarian Acad Science, 2020-01-01) Tekcan, Ahmet; Erdem, Alper; TEKCAN, AHMET; Erdem, Alper; Bursa Uludağ Üniversitesi/Fen Fakültesi/Matematik Bölümü; 0000-0001-8429-0612; AAH-8518-2021; ABH-2397-2021; ABH-2894-2021; ITW-1624-2023
    In this work, we determine the general terms of t-cobalancers, t-cobalancing numbers and Lucas t-cobalancing numbers by solving the Pell equation 2x(2) - y(2) = 2t(2) - 1 for some fixed integer t >= 1.
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    Publication
    The integer sequence B = Bn(P, Q) with parameters P and Q
    (Charles Babbage Res Ctr, 2015-07-01) Koçapınar, Canan; Özkoç, Arzu; Tekcan, Ahmet; TEKCAN, AHMET; Uludağ Üniversitesi/Mühendislik Fakültesi/Matematik Bölümü; AAH-8518-2021
    In this work, we first prove that every prime number p equivalent to 1 (mod 4) can be written of the form P-2-4Q with two positive integers P and Q, and then we define the sequence B-n(P, Q) to be B-0 = 2, B-1 = P and B-n = P Bn-1 - QB(n-2) for n >= 2 and derive some algebraic identities on it. Also we formulate the limit of cross ratio for four consecutive numbers B-n, Bn+1, Bn+2 and Bn+3.
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    Publication
    Balancing, pell and square triangular functions
    (Univ Miskolc Inst Math, 2015-01-01) Tekcan, Ahmet; Tayat, Merve; Olajos, Peter; TEKCAN, AHMET; Tayat, Merve; AAH-8518-2021
    In this work, we derive some functions on balancing, cobalancing, Lucas-balancing, Lucas-cobalancing, Pell, Pell-Lucas and square triangular numbers. At the end of this article we investigated common values of combinatorial numbers and Lucas-balancing numbers.
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    Publication
    On k-balancing numbers
    (Bulgarian Acad Science, 2017-01-01) Özkoç, Arzu; Tekcan, Ahmet; TEKCAN, AHMET; Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; AAH-8518-2021
    In this work, we consider some algebraic properties of k-balancing numbers. We deduce some formulas for the greatest common divisor of k-balancing numbers, divisibility properties of k-balancing numbers, sums of k-balancing numbers and simple continued fraction expansion of k-balancing numbers.