Now showing items 128-135 of 135

    • Three binomial sums weighted by falling and rising factorials 

      Kılıç, Emrah (TUBITAK, 2018-05-08)
      In this paper, we will investigate and evaluate, in closed forms, three binomial sums weighted by falling and rising factorials. We first use the relationships between the rising, falling factorials and the binomial ...
    • Two Variants of the Reciprocal Super Catalan Matrix 

      Kılıç, Emrah; Omur, Nese; Koparal, Sibel; Ulutas, Yucel Turker (Kyungpook National University, 2016-06)
      In this paper, we define two kinds variants of the super Catalan matrix as well as their q-analoques. We give explicit expressions for LU-decompositions of these matrices and their inverses.
    • UAV coverage using hexagonal tessellation 

      Kadıoğlu Ürtiş, Esra; Ürtiş, Çetin; Papanikolopoulos, Nikolaos (IEEE, 2019-07)
      Unmanned aerial vehicles (UAVs) are increasingly being used for coverage applications. Some common examples include inspecting agricultural fields for certain plant diseases, tracking wildfire, photogrammetry, flying over ...
    • A variant of the reciprocal super Catalan matrix 

      Kılıç, Emrah; Akkus, Ilker; Kizilaslan, Gonca (De Gruyter Open Ltd, 2015-01)
      Recently Prodinger [8] considered the reciprocal super Catalan matrix and gave explicit formula for its LU-decomposition, the LU-decomposition of its inverse, and obtained some related matrices. For all results, q-analogues ...
    • Variants of the Filbert Matrix 

      Kılıç, Emrah; Prodinger, Helmut (Fibonacci Association, 2013-05)
      A variation of the Filbert matrix from [1] is introduced, which has one additional Fibonacci factor in the numerator. We also introduce its Lucas counterpart by taking Lucas numbers instead of Fibonacci numbers in a similar ...
    • Various Sums Including the Generalized Fibonacci and Lucas numbers 

      Kılıç, Emrah; Ömür, Neşe; Akkus, Ilker; Ulutaş, Yücel T. (Palestine Polytechnic University,, 2015-09)
      We compute certain sums including generalized Fibonacci and Lucas numbers as well as their alternating analogous. We show that these sums could be expressed by the terms of the sequences. Similar directions are given for ...
    • A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices 

      Kılıç, Emrah; Prodinger, Helmut (University of Calgary, 2019-12-25)
      In this paper, we present a number of combinatorial matrices that are generalizations or variants of the super Catalan matrix and the reciprocal Pascal matrix. We present explicit formulæ for LU-decompositions of all the ...
    • A Wilf class composed of 19 symmetry classes of quadruples of 4-letter patterns 

      Arikan, Talha; Kılıç, Emrah; Mansour, Toufik (Bulgarian Acad Science, 2017)
      In this paper, we make a contribution to the enumeration of permutations avoiding a quadruples of 4-letter patterns by establishing a Wilf class composed of 19 symmetry classes.