31 citations · 55 across the 3 of their papers we have counts for
4 papers
Incomplete q-Chebyshev Polynomials
Elif Ercan, Mirac Cetin Firengiz, Naim Tuglu
In this paper, we get the generating functions of q-Chebyshev polynomials using operator. Also considering explicit formulas of q-Chebyshev polynomials, we give new generalizations…
On the Norms of Circulant and Circulant Matrices With the Hyperharmonic Fibonacci Numbers
Naim Tuglu, Can Kizilateş
In this paper, we study norms of circulant and circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers. We obtain inequalities by using matrix norms…
On the Harmonic and Hyperharmonic Fibonacci Numbers
Naim Tuglu, Can Kızılateş, Seyhun Kesim
In this paper, we study the theory of the harmonic and the hyperharmonic Fibonacci numbers. Also, we get some combinatoric identities like as harmonic and hyperharmonic numbers and…
GCD matrices, posets, and nonintersecting paths
Ercan Altinisik, Bruce E. Sagan, Naim Tuglu
We show that with any finite partially ordered set one can associate a matrix whose determinant factors nicely. As corollaries, we obtain a number of results in the literature abou…