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Department of Mathematics

Recent Publications

M.V. Markin and J.M. Jimenez, On linear chaos in function spaces, Demonstratio Mathematica 55 (2022), no. 1, pp. 119-135.

M.V. Markin and O.B. Soghomonian, On a characterization of convergence in Banach spaces with a Schauder basis, International Journal of Mathematics and Mathematical Sciences 2021 (2021), Article ID 1640183, 5 pp.

M.V. Markin, On a characterization of finite-dimensional vector spaces, International Journal of Mathematics and Mathematical Sciences 2021 (2021), Article ID 8895949, 3 pp.

R. Adams, On hyperbolic polynomials with four‑term recurrence and linear coefficients, Calcolo 57, 22 (2020), 24 pp.

M.V. Markin, On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis, Open Mathematics 18 (2020), no. 1, pp. 1952-1976.

M.V. MarkinOn the non-hypercyclicity of scalar type spectral operators and collections of their exponentialsDemonstratio Mathematica 53 (2020), no. 1, pp. 352-359.

T. Forgács and K. TranHyperbolic polynomials and linear-type generating functions, J. Math. Anal. Appl. 488 (2) (2020) DOI: 10.1016/j.jmaa.2020.124085

M.V. MarkinElementary Operator Theory, De Gruyter Graduate, Walter de Gruyter GmbH, Berlin/Boston, 2020.

M.V. Markin and E.S. Sichel, On expansive mappings, Mathematics 7 (2019), no. 11, Article no. 1004, 10 pp.  

M.V. Markin and E.S. Sichel, On the non-hypercyclicity of normal operators, their exponentials, and symmetric operators, Mathematics 7 (2019), no. 10, Article no. 903, 8 pp.

M.V. Markin, On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the open semi-axis, Open Mathematics 17 (2019), no. 1, pp. 1082-1112.  

M.V. MarkinReal Analysis Analysis. Measure and Integration, De Gruyter Graduate, Walter de Gruyter GmbH, Berlin/Boston, 2019.

C. Caprau, Invariants for trivalent tangles and handlebody-tanglesNew York Journal of Mathematics 25 (2019), 156-167.

C. Caprau, A. Dirdak, R. Post, E. Sawyer, Alexander- and Markov-type theorems for virtual trivalent braids, J. of Knot Theory and its Ramifications 28, No. 1 (2019) 195003 (33 pages).

T. Forgács, J. Luong and J. Williamson, A note on infinite series with recursively defined terms, Amer. Math. Monthly, 126 (3) (2019), pp. 269-274.

L. Buck, K. Emmrich and T. Forgács, Sufficient conditions for a linear operator on R[x] to be monotone, Houston J. Math. 45 (1) (2019) pp. 201-212.

M.V. Markin, On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator of orders less than one, Open Mathematics 17 (2019), no. 1, 1-14.

M.V. Markin, Integration for Calculus, Analysis, and Differential Equations: Techniques, Examples, and Exercises, World Scientific Publishing Co. Pte. Ltd., New Jersey-London-Singapore, 2019.

D. Cardon, T. Forgács, A. Piotrowski, E. Sorensen and J. White, On zero-sector reducing operators, J. Math. Anal. Appl. 468 (1) (2018), pp. 480-490. DOI: 10.1016/j.jmaa.2018.08.025

M. Chasse, T. Forgács and A. Piotrowski, Polynomially interpolated Legendre multiplier sequences, Comput. Methods Funct. Theory18 (2) (2018), pp. 315-333. DOI 10.1007/s40315-017-0221-3

T. Forgács, Directions for Mathematics Research Experience for Undergraduates - a review, Notices of the AMS, 65 (4) (2018) pp. 432-435.

M.V. MarkinElementary Functional Analysis, De Gruyter Graduate, Walter de Gruyter GmbH, Berlin/Boston, 2018.

M.V. Markin, On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator, Methods of Functional Analysis and Topology  24 (2018), no. 4, 349-369.

M.V. MarkinOn the differentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis, Int. J. Math. Math. Sci. 2018 (2018), Article ID 4168609, 14 pp. 

N. Abarzua, R. Pomareda, O. Vega, Feet in orthogonal-Buekenhout-Metz unitals, Advances in Geometry 18 (2018), Issue 2, Pages 229-236.

M.V. Markin, On the mean ergodicity of weak solutions of an abstract evolution equation, Methods Funct. Anal. Topology 24 (2018), No. 1, 53-70.

M.V. Markin, Comment on "On the Carleman classes of vectors of a scalar type spectral operator", Int. J. Math. Math. Sci. 2018 (2018), Article ID 2135740, 3 pp.

C. Caprau, K. Urabe, A formula for the Dubrovnik polynomial of rational knots, Publicacions Matematiques 61 (2017), 105-134.

C. Caprau, A. Chichester, P. Chu,  Three approaches to a bracket polynomial for singular links, Involve-A Journal of Mathematics, Vol.10, No.2 (2017) 197-218.

T. Forgács and K. Tran, Zeros of polynomials generated by a rational function with a hyperbolic-type denominator, Constr. Approx46 (3), (2017), pp. 617-643. DOI 10.1007/s00365-017-9378-2

N. J. Newsome, M. S. Nogin, and A. H. Sabuwala, A proof of symmetry of the power sum polynomials using a novel Bernoulli number identity, J. Integer Seq. 20 (2017)

M. Nogin, Optimizing prisms of all shapes and dimensions, College Math. J., 48 (2017), 199-203

Elder, J., Vega, O., A note on the factorization of permutations into cycles, International Electronic Journal of Algebra 22 (2017), 125-132

Cherowitzo, W., Johnson, N.L., Vega, O., alpha-flokki and partial alpha-flokki, Innovations in Incidence Geometry 15 (2017), 1-25

M.V. MarkinOn certain spectral features inherent to scalar type spectral operators, Methods Funct. Anal. Topology 23 (2017), No. 1, 60-65

Adams, R., Dixon, J., Elder, J., Peabody, J., Vega, O., Willis, K., Combinatorial analysis of a subtraction game on graphs, International Journal of Combinatorics (2016), Article ID 1476359, 8 pages 

C. Caprau, Movie moves for singular link cobordisms in 4-dimensional space, J. of Knot Theory and its Ramifications 25No. 2 (2016) 23 pages. 

C. Caprau, A. de la Pena, S. McGahan, Virtual singular braids and links, Manuscripta Mathematica (September 2016) 151, Issue 1, 147-175.

M. Nogin and B. Xu, Modal logic axioms valid in quotient spaces of finite CW-complexes and other families of topological spaces, Intl. J. Math. Math. Sci., Vol. 2016 (2016).

M. Nogin and Bing Xu, The relationship between the topological properties and common modal logics, J. of Math. Sci. Appl. 4 (2016) No. 1.

M. Nogin, It is not a coincidence! On curious patterns in Calculus optimization problems, Far East J. Math. Ed. 16 (2016) No. 3, 319-329

M.V. Markin, On the generation of Beurling type Carleman ultradifferentiable $C_0$-semigroups by scalar type spectral operators, Methods Funct. Anal. Topology 22 (2016), no. 2, 169-183.

T. Forgacs and K. Tran, Polynomials with rational generating functions and real zeros. J. Math. Anal. Appl. 443 (2) (2016), pp. 631-651. DOI 10.1016/j.jmaa.2016.05.041 

G. Csordas, and T. Forgacs, Multiplier sequences, classes of generalized Bessel functions and open problems, J. Math. Anal. Appl. 433 (2016), pp. 1369-1389. DOI: 10.1016/j.jmaa.2015.08.047

Carmen Caprau, James Tipton, The Kauffman polynomial and trivalent graphs, 24 pages, Kyungpook Math. Journal, Vol. 55, No. 4 (December 2015), 779-806.

De Leon, Doreen, Using Undetermined Coefficients to Solve Certain Classes of Variable-Coefficient Equations, The American Mathematical Monthly, Volume 122, No. 3 (2015), pp. 246-255.

M.V. Markin, On the Carleman ultradifferentiable vectors of a scalar type spectral operator, Methods Funct. Anal. Topology 21 (2015), no. 4, 361-369.

Hauschild, J.; Ortiz, J.; Vega, O. On the Levi Graph of Point-Line Configurations. Involve, a Journal of Mathematics 8 (2015), no. 5, 893-900.

Mellinger, K.; Vaughn, R.; Vega, O. Graphs Embedded into Finite Projective Planes. Contributions to Discrete Mathematics 10 (2015), no. 1, 113-125.

T. Forgacs and A. Piotrowski, Hermite multiplier sequences and their associated operators, Constr. Approx. 43 (3) (2015), pp. 459-479. DOI 10.1007/s00365-015-9277-3

T. Forgacs, 2015. FURST - A Symbiotic Approach to Research at Primarily Undergraduate Institutions. In: Peterson, M. A., and Rubinstein, Y. A., ed. Directions for Mathematics Research Experience for Undergraduates. World Scientific. pp. 17-31.

Maria NoginStrategies of Problem Solving, 2nd edition. Create Space publishing, 2014 (textbook) 

Caprau, Carmen. A cohomology theory for colored tangles. Knots in Poland. III. Part 1, 13-25, Banach Center Publ., 100, Polish Acad. Sci. Inst. Math., Warsaw, 2014.

Caprau, Carmen; Heywood, David; Ibarra, Dionne. On a state model for the SO(2n) Kauffman polynomial. Involve 7 (2014), no. 4, 547-563.

Caprau, Carmen; Smith, Joel. The singular Temperley-Lieb category. ISRN Geom. 2014, Art. ID 321509, 9 pp.

Cusick, Larry. Finite groups of derangements on the n-cube. Ars Combin. 116 (2014), 289-302.

De Souza, Comlan; Kammler, David. Characterization of Self Dual Lattices in R, R² and R³. Applied Mathematics 5 (2014) No.10, 1448-1456.
Forgacs, Tamas; Haley, James; Menke, Rebecca; Simon, Carly. The non-existence of cubic Legendre multiplier sequences. Involve, 7 (2014), no 6, 773-786.

Birnbaum, Isaac; Kuneli, Megan; McDonald, Robyn; Urabe, Katherine; Vega, Oscar. The well-covered dimension of products of graphs. Discuss. Math. Graph Theory 34 (2014), no. 4, 811-827.

Aceves, Elaina; Heywood, David; Klahr, Ashley; Vega, Oscar. Cycles in projective spaces. J. Geom. 105 (2014), no. 1, 111-117.