4 papers
Discrete Space-Time Wave Kernels on Regular Trees
Amar Bašić, Lejla Smajlović, Zenan Šabanac
We study the forward discrete space-time wave equation on the homogeneous -regular tree associated with a two-parameter generalized Laplacian. Under the natural no…
Relations between Chebyshev, Fibonacci and Lucas polynomials via trigonometric sums
Lejla Smajlović, Zenan Šabanac, Lamija Šćeta
In this paper we derive some new identities involving the Fibonacci and Lucas polynomials and the Chebyshev polynomials of the first and the second kind. Our starting point is a fi…
Discrete Bessel functions and discrete wave equation
Amar Bašić, Lejla Smajlović, Zenan Šabanac
In this paper, we study discrete Bessel functions which are solutions to the discretization of Bessel differential equations when the forward and the backward difference replace th…
Strong boundedness, strong convergence and generalized variation
Muharem Avdispahić, Zenan Šabanac
A trigonometric series strongly bounded at two points and with coefficients forming a log-quasidecreasing sequence is necessarily the Fourier series of a function belonging to all…