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Publications († denotes undergraduate student)
  1. Umit Aksoy, Tom Cuchta, Svetlin Georgiev, and Yeliz Okur. A normal distribution on time scales with application. Filomat. In press.
  2. Tom Cuchta and Nick Wintz. Periodic functions related to the Gompertz difference equation. Math. Biosci. Eng., 19(9):8774–8785, 2022.
  3. Martin Bohner, Tom Cuchta, and Sabrina Streipert. Delay dynamic equations on isolated time scales and the relevance of one-periodic coefficients. Math. Meth. Appl. Sci., 45(10):5821–5838, 2022.
  4. Samer Assaf and Tom Cuchta. The half disc topology is partially metrizable. Top. Proc, 61:139–144, 2023.
  5. Tom Cuchta, David Grow, and Nick Wintz. Divergence criteria for matrix generalized hypergeometric series. Proc. Amer. Math. Soc., 150(3):1235–1240, 2022.
  6. Tom Cuchta, Rebecca Luketic†. Discrete Hypergeometric Legendre Polynomials. Mathematics 9(20), 2546, 2021.
  7. Tom Cuchta, Sabrina Streipert. A discrete SIS model of fractional order. Int. J. Dyn. Syst. Differ. Equ. Vol 11, Nos. 3/4, pp.275–286, 2021.
  8. Tom Cuchta, Svetlin Georgiev. Analysis of the bilateral Laplace transform on time scales with applications. Int. J. Dyn. Syst. Differ. Equ. Vol. 11, Nos. 3/4, pp.255–274, 2021.
  9. Tom Cuchta, Robert Jon Niichel, Sabrina Streipert. A Gompertz distribution for time scales. Turk J. Math., 45(1):185-200, 2021.
  10. Tom Cuchta, Brooke Fincham†. Some new Gompertz fractional difference equations. Involve, 13(4):705–719, 2020.
  11. F. Ayça Çetinkaya, Tom Cuchta. Sturm-Liouville and Riccati Conformable Dynamic Equations. Adv. Dyn. Syst. Appl., 15(1):1–13, 2020.
  12. Samer Assaf, Tom Cuchta, Matt Insall. Binary metrics. Topol. Appl., 274:107116, 2020.
  13. Tom Cuchta, Michael Pavelites†, Randi Tinney†. The Chebyshev Difference Equation. Mathematics 8(1), 74, 2020.
  14. Tom Cuchta, Sabrina Streipert. Dynamic Gompertz Model. Appl. Math. Info. Sci., 14(1):9–17, 2020.
  15. Tom Cuchta, David Grow, Nick Wintz. A dynamic matrix exponential via a matrix cylinder transformation. J. Math. Anal. Appl., 479(1):733–751, 2019.
  16. Tom Cuchta, Brian Blackwood, Thomas R. Devine, Robert J. Niichel, Kristina M. Daniels, Caleb H. Lutjens, Sydney Maibach, Ryan J. Stephenson. Human risk factors in cybersecurity. In Proceedings of the 20th Annual SIG Conference on Information Technology Education, SIGITE ’19, pages 87–92, New York, NY, USA, 2019. ACM.
  17. Martin Bohner, Tom Cuchta. The generalized hypergeometric difference equation. Demonstratio Mathematica, 51(1), pp. 62–75 (2018).
  18. Martin Bohner, Tom Cuchta. The Bessel difference equation. Proc. Amer. Math. Soc. 145 (2017), no. 4, 1567–1580.
  19. Tom Cuchta. Discrete Analogues of Some Classical Special Functions. Doctoral thesis, Missouri S&T, 2015.
  20. Tom Cuchta. Infinitesimal Time Scale Calculus. Master's thesis, Marshall University, 2011.
  21. A. Bishop, T. Cuchta, K. Lokken, O. Pechenik. The nilradical and non-nilradical graphs of commutative rings. Int. J. Algebra 2 (2008), no. 17-20, 981–994.
  22. T. Cuchta, K. Lokken, W. Young. Zero-divisor graphs of localizations and modular rings. Rose-Hulman Undergraduate Math Journal, vol. 9 (2008).