4 papers
Discrete Space-Time Wave Kernels and Trace Identities on Regular Graphs
Amar Bašić, Lejla Smajlović, Zenan Šabanac
We study the discrete space-time wave equation on a -regular graph associated with the affine Laplace-type operator. For the forward time-difference scheme we derive exp…
On the Hurwitz-type zeta function associated to the Lucas sequence
Lejla Smajlović, Zenan Šabanac, Lamija Šćeta
We study the theta function and the Hurwitz-type zeta function associated to the Lucas sequence of the first kind determined by the real numbers un…
The heat kernel of a weighted Maass-Laplacian with real weights
Zenan Šabanac, Lamija Šćeta
We derive closed formula for the heat kernel associated to Maass-Laplacian operator for any real and prove that heat kernel is strictly mono…
Determination of a jump by Fourier and Fourier-Chebyshev series
Muharem Avdispahić, Zenan Šabanac
By observing the equivalence of assertions on determining the jump of a function by its differentiated or integrated Fourier series, we generalize a previous result of Kvernadze, H…