Dr. Emanuel Guariglia

Assistant professor

Mathematics Department, Kean University, New Jersey, USA.

Email: [email protected]; [email protected]

Qualifications

2017 Ph.D., University of Salerno, Italy.

2013 M.S., University of Naples Federico II, Italy.

Publications (Selected)

1. E. Guariglia (2024). Fractional calculus of the Lerch zeta function – part II, Mathematical Methods in the Applied Sciences, 47(5), 3826–3840. doi:10.1002/mma.9709.
2. E. Guariglia, R.C. Guido, G.J.P. Dalalana (2023). From wavelet analysis to fractional calculus: a review. Mathematics, 11(7), 1606. doi:10.3390/math11071606.
3. E. Guariglia, R.C. Guido (2022). Chebyshev wavelet analysis, Journal of Function Spaces, 2022(1), 5542054. doi:10.1155/2022/5542054.
4. E. Guariglia (2022). Fractional calculus of the Lerch zeta function, Mediterranean Journal of Mathematics, 19(1), 109. doi:10.1007/s00009-021-01971-7.
5. A. Manacero, E. Guariglia, et al. (2022). Parallel fuzzy minimals on GPU, Applied Sciences, 12(1), 2385. doi:10.3390/app12052385.
6. R.C. Guido, E. Guariglia et al. (2021). Introducing the Discrete Path Transform (DPT) and its applications in signal analysis, artefact removal, and spoken word recognition, Digital Signal Processing, 117(1), 103158. doi:10.1016/j.dsp.2021.103158.
7. E. Guariglia (2021). Fractional calculus, zeta functions and Shannon entropy, Open Mathe-matics, 19(1), 87–100. doi:10.1515/math-2021-0010.
8. E. Guariglia, K. Tamilvanan (2020). On the stability of radical septic functional equations, Mathematics, 8(12), 2229. doi:10.3390/math8122229.
9. E. Guariglia (2019). Riemann zeta fractional derivative – functional equation and link with primes, Advances in Difference Equations, 2019(1), 261. doi:10.1186/s13662-019-2202-5.
10. E. Guariglia (2019). Primality, Fractality and Image Analysis, Entropy, 21(3), 304. doi:10. 3390/e21030304.
11. E. Guariglia (2018). Harmonic Sierpinski Gasket and Applications, Entropy, 20(9), 714. doi: 10.3390/e20090714.
12. C. Cattani, E. Guariglia, and S. Wang (2017). On the critical strip of the Riemann zeta Frac-tional Derivative, Fundamenta Informaticae, 151(1-4), 459–472. doi:10.3233/FI-2017-1504.
13. E. Guariglia (2016). Entropy and Fractal Antennas, Entropy, 18(3), 84. doi:10.3390/e18030084.
14. C. Cattani and E. Guariglia (2016). Fractional derivative of the Hurwitz ζ-function and chaotic decay to zero, Journal of King Saud University, 28(1), 75–81. doi:10.1016/j.jksus.2015.04.003.