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Publications († denotes undergraduate student)
  1. Samer Assaf and Tom Cuchta. Discrete analogues of complementary exponential and sine integral functions. Demonstr. Math. In press.
  2. Tom Cuchta, David Grow, and Nick Wintz. Discrete matrix hypergeometric functions. J. Math. Anal. Appl., 518(2):126716, 2023.
  3. Tom Cuchta, Dylan Poulsen, and Nick Wintz. Linear quadratic tracking with continuous conformable derivatives. Eur. J. Control, 72:100808, 2023.
  4. Tom Cuchta and Rui Ferreira. The heat equation on time scales. Opusc. Math., 43(4), 475-491, 2023.
  5. Tom Cuchta and Robert J. Niichel. Memoryless properties on time scales. Math. Slovaca, 73(4):911–920, 2023.
  6. Samer Assaf and Tom Cuchta. The rational sequence topology is partially metrizable. Top. Proc., 62:65–72,2023.
  7. Samer Assaf and Tom Cuchta. The half disc topology is partially metrizable. Top. Proc., 61:139–144, 2023.
  8. Tom Cuchta and Dallas Freeman†. Discrete polylogarithm functions. Tatra Mt. Math. Publ., 84:1-6, 2023.
  9. Tom Cuchta, David Grow, and Nick Wintz. Divergence criteria for matrix generalized hypergeometric series. Proc. Amer. Math. Soc., 150(3):1235–1240, 2022.
  10. 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.
  11. Alexander Lyapin and Tom Cuchta. Sections of a generating series of a solution to a difference equation in a simplicial cone. Bull. Irkutsk State Univ. Ser. Math., 42:75–89, 2022.
  12. Tom Cuchta and Nick Wintz. Periodic functions related to the Gompertz difference equation. Math. Biosci. Eng., 19(9):8774–8785, 2022.
  13. Umit Aksoy, Tom Cuchta, Svetlin Georgiev, and Yeliz Okur. A normal distribution on time scales with application. Filomat, 36(16):5391-5404, 2022.
  14. 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.
  15. Tom Cuchta, Robert Jon Niichel, Sabrina Streipert. A Gompertz distribution for time scales. Turk J. Math., 45(1):185-200, 2021.
  16. Tom Cuchta, Rebecca Luketic†. Discrete Hypergeometric Legendre Polynomials. Mathematics 9(20), 2546, 2021.
  17. 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.
  18. Tom Cuchta, Sabrina Streipert. Dynamic Gompertz Model. Appl. Math. Info. Sci., 14(1):9–17, 2020.
  19. F. Ayça Çetinkaya, Tom Cuchta. Sturm-Liouville and Riccati Conformable Dynamic Equations. Adv. Dyn. Syst. Appl., 15(1):1–13, 2020.
  20. Tom Cuchta, Brooke Fincham†. Some new Gompertz fractional difference equations. Involve, 13(4):705–719, 2020.
  21. Tom Cuchta, Michael Pavelites†, Randi Tinney†. The Chebyshev Difference Equation. Mathematics 8(1), 74, 2020.
  22. Samer Assaf, Tom Cuchta, Matt Insall. Binary metrics. Topol. Appl., 274:107116, 2020.
  23. Tom Cuchta, David Grow, Nick Wintz. A dynamic matrix exponential via a matrix cylinder transformation. J. Math. Anal. Appl., 479(1):733–751, 2019.
  24. Martin Bohner, Tom Cuchta. The generalized hypergeometric difference equation. Demonstratio Mathematica, 51(1), pp. 62–75 (2018).
  25. Martin Bohner, Tom Cuchta. The Bessel difference equation. Proc. Amer. Math. Soc. 145 (2017), no. 4, 1567–1580.
  26. 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.
  27. T. Cuchta, K. Lokken, W. Young. Zero-divisor graphs of localizations and modular rings. Rose-Hulman Undergraduate Math Journal, vol. 9 (2008).