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Publications († denotes undergraduate student) (without pictures)
  1. Svetlana Akhtamova, Tom Cuchta, and Alexander Lyapin
    An Approach to Multidimensional Discrete Generating Series
    Mathematics
    Mathematics, 12(1):143, 2024.
  2. Tom Cuchta, David Grow, and Nick Wintz
    Discrete matrix hypergeometric functions
    Journal of Mathematical Analysis and Applications
    J. Math. Anal. Appl., 518(2):126716, 2023.
  3. Tom Cuchta, Dylan Poulsen, and Nick Wintz
    Linear quadratic tracking with continuous conformable derivatives
    European Journal of Control
    Eur. J. Control, 72:100808, 2023.
  4. Tom Cuchta and Rui Ferreira
    The heat equation on time scales
    Opuscula Mathematica
    Opusc. Math., 43(4), 475-491, 2023.
  5. Tom Cuchta and Robert J. Niichel
    Memoryless properties on time scales
    Mathematica Slovaca
    Math. Slovaca, 73(4):911–920, 2023.
  6. Samer Assaf and Tom Cuchta
    Discrete analogues of complementary exponential and sine integral functions
    Demonstratio Mathematica
    Demstr. Math. 56(1):20230119, 2023.
  7. Samer Assaf and Tom Cuchta
    The rational sequence topology is partially metrizable
    Topology Proceedings
    Top. Proc., 62:65-72, 2023.
  8. Samer Assaf and Tom Cuchta
    The half disc topology is partially metrizable
    Topology Proceedings
    Top. Proc., 61:139–144, 2023.
  9. Tom Cuchta and Dallas Freeman†
    Discrete polylogarithm functions
    Tatra Mountains Mathematical Publications
    Tatra Mt. Math. Publ., 84(2):19-24, 2023.
  10. Tom Cuchta, David Grow, and Nick Wintz
    Divergence criteria for matrix generalized hypergeometric series
    Proceedings of the American Mathematical Society
    Proc. Amer. Math. Soc., 150(3):1235–1240, 2022.
  11. Martin Bohner, Tom Cuchta, and Sabrina Streipert
    Delay dynamic equations on isolated time scales and the relevance of one-periodic coefficients
    Mathematical Methods in the Applied Sciences
    Math. Meth. Appl. Sci., 45(10):5821–5838, 2022.
  12. Alexander Lyapin and Tom Cuchta
    Sections of a generating series of a solution to a difference equation in a simplicial cone
    Bulletin of Irkutsk State University, Series Mathematics
    Bull. Irkutsk State Univ. Ser. Math., 42:75–89, 2022.
  13. Tom Cuchta and Nick Wintz
    Periodic functions related to the Gompertz difference equation
    Mathematical Biosciences and Engineering
    Math. Biosci. Eng., 19(9):8774–8785, 2022.
  14. Umit Aksoy, Tom Cuchta, Svetlin Georgiev, and Yeliz Okur
    Filomat
    A normal distribution on time scales with application
    Filomat, 36(16):5391-5404, 2022.
  15. Tom Cuchta and Svetlin Georgiev
    Analysis of the bilateral Laplace transform on time scales with applications
    International Journal of Dynamical Systems and Differential Equations
    Int. J. Dyn. Syst. Differ. Equ. Vol. 11, Nos. 3/4, pp.255–274, 2021.
  16. Tom Cuchta, Robert Jon Niichel, and Sabrina Streipert
    A Gompertz distribution for time scales
    Turkish Journal of Mathematics
    Turk J. Math., 45(1):185-200, 2021.
  17. Tom Cuchta, Rebecca Luketic†
    Discrete Hypergeometric Legendre Polynomials
    Mathematics
    Mathematics 9(20), 2546, 2021.
  18. Tom Cuchta, Sabrina Streipert
    A discrete SIS model of fractional order
    International Journal of Dynamical Systems and Differential Equations
    Int. J. Dyn. Syst. Differ. Equ. Vol 11, Nos. 3/4, pp.275–286, 2021.
  19. Tom Cuchta and Sabrina Streipert
    Dynamic Gompertz Model
    Applied Mathematics and Information Sciences
    Appl. Math. Info. Sci., 14(1):9–17, 2020.
  20. F. Ayça Çetinkaya, Tom Cuchta
    Sturm-Liouville and Riccati Conformable Dynamic Equations
    Advances in Dynamical Systems and Applications
    Adv. Dyn. Syst. Appl., 15(1):1–13, 2020.
  21. Tom Cuchta, Brooke Fincham†
    Some new Gompertz fractional difference equations
    Involve
    Involve, 13(4):705–719, 2020.
  22. Tom Cuchta, Michael Pavelites†, and Randi Tinney†
    The Chebyshev Difference Equation
    Mathematics
    Mathematics 8(1), 74, 2020.
  23. Samer Assaf, Tom Cuchta, and Matt Insall
    Binary metrics
    Topology and its Applications
    Topol. Appl., 274:107116, 2020.
  24. Tom Cuchta, David Grow, and Nick Wintz
    A dynamic matrix exponential via a matrix cylinder transformation
    Journal of Mathematical Analysis and Applications
    J. Math. Anal. Appl., 479(1):733–751, 2019.
  25. Martin Bohner and Tom Cuchta
    The generalized hypergeometric difference equation
    Demonstratio Mathematica
    Demonstr. Math., 51(1), pp. 62–75 (2018).
  26. Martin Bohner and Tom Cuchta
    The Bessel difference equation
    Proceedings of the American Mathematical Society
    Proc. Amer. Math. Soc. 145 (2017), no. 4, 1567–1580.
  27. A. Bishop, T. Cuchta, K. Lokken, and O. Pechenik
    The nilradical and non-nilradical graphs of commutative rings
    International Journal of Algebra
    Int. J. Algebra 2 (2008), no. 17-20, 981–994.
  28. T. Cuchta, K. Lokken, and W. Young
    Zero-divisor graphs of localizations and modular rings
    Rose-Hulman Undergraduate Math Journal
    Rose-Hulman Undergraduate Math Journal, vol. 9 (2008).