Recent Publications

C. Caprau, A. Yeung, Algebraic structures among virtual singular braids, La Matematica (2024). https://link.springer.com/article/10.1007/s44007-024-00120-2

G. Cheon, T. Forgacs, A. Mwafise, K. Tran, The zero locus and some combinatorial properties of certain exponential Sheffer sequences, J. Math. Anal. Appl. Volume 539, Issue 1, Part 1, 1 November 2024.  https://doi.org/10.1016/j.jmaa.2024.128513

D. Cunningham, Mathematical Logic: An Introduction, De Gruyter, (2023), 270 p. https://www.degruyter.com/document/doi/10.1515/9783110782073/html

D. Cunningham, On forcing over L(R), Archive for Mathematical Logic, vol. 62 (2023), no. 3-4, pp. 359-367.  https://link.springer.com/article/10.1007/s00153-022-00844-4

M.J. Bencomo and J. Chan, Discrete Adjoint Computations for Relaxation Runge–Kutta Methods. Journal of Scientific Computing, 94(3), 59 (2023).

A. Baumheckel and T. Forgács, An Exploration of Very Triangular Numbers, The PUMP Journal of Undergraduate Research, 6, 317-333 (2023).

E. Andrade, N. Tom, and M. Banuelos, User-Item Recommendation Approaches to Detect Genomic Variant Interactions, Proceedings of the Asia-Pacific Signal and Information Processing Association Annual Summit and Conference 2022 (APSIPA ASC 2022).

G.-S. Cheon, T. Forgács, H. Kim, and K. Tran, On combinatorial properties and the zero distribution of certain Sheffer sequences, J. Math. Anal. Appl. 514, (1) (2022).

C. Caprau and B. Scott, Minimal generating sets of moves for diagrams of isotopic knots and spatial trivalent graphs, J. of Knot Theory and its Ramifications 31, Issue 12, Article No. 2250085 (2022). DOI: 10.1142/S0218216522500857.

J. Basi and C. Caprau, Quandle coloring quivers of (p, 2)-torus links, J. of Knot Theory and its Ramifications 31, Issue 9, Article No. 2250057 (2022). DOI: 10.1142/S0218216522500572

S. Al Hamdani and K. Tran, Zeros of a binomial combination of Chebyshev polynomials, International Journal of Number Theory, Vol. 18, No. 04, pp. 799-811 (2022).

J. Luong and K. Tran, Zeros of a table of polynomials satisfying a four-term contiguous relation, Z. Anal. Anwend. (2022), DOI 10.4171/ZAA/1698.

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

M. Banuelos and M. Hernandez, A Recommendation Systems Approach for Detecting Epistasis in Genomic Signals, Proceedings of the Asia-Pacific Signal and Information Processing Association Annual Summit and Conference 2021 (APSIPA ASC 2021).

A. Lazar, M. Banuelos, S. Sindi, and R. F. Marcia, Novel structural variant genome detection in extended pedigrees through negative binomial optimization, Accepted to the 2021 Annual Asilomar Conference on Signals, Systems, and Computers, 2021.

C. Caprau, N. Gonzalez, C. R. S. Lee, A. Lawrance, R. Sazdanovic, M. Zhang, On Khovanov homology and related invariants. In Research Directions in Symplectic and Contact Geometry and Topology, Association for Women in Mathematics Series, vol 27. Springer, Cham (2021) 273-292. DOI: 10.1007/978-3-030-80979-9_6

C. Caprau and S. Zepeda, On the virtual singular braid monoid, J. of Knot Theory and its Ramifications 30, Issue 14, Article No. 2141002 (2021). DOI: 10.1142/S0218216521410029

K. Tran and M. Zhang, Linear combinations of polynomials with three-term recurrence. Publications de l'Institut Mathematique Volume 110, Issue 124, Pages: 29-40 (2021).

K. Tran and A. Zumba, Zeros of polynomials with four-term recurrence and linear coefficients. Ramanujan J 55, 447–470 (2021).

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. Markin, On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials, Demonstratio Mathematica 53 (2020), no. 1, pp. 352-359.

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

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

C. Caprau, G. Coloma, and M. Davis, The L-move and Markov theorems for trivalent braids, Involve, A Journal of Mathematics 13, No.1 (2020), 21--50. DOI 10.2140/involve.2020.13.21.

C. Caprau and K. Friesen, On the Kauffman-Jones polynomial for virtual singular knots and links, Missouri J. Math. Sci. 31, No. 1, (2019), 79-104. 

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. Markin, Real Analysis Analysis. Measure and Integration, De Gruyter Graduate, Walter de Gruyter GmbH, Berlin/Boston, 2019.

C. Caprau, Invariants for trivalent tangles and handlebody-tangles, New 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. Theory. 18 (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. Markin, Elementary 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. Markin, On 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.

K. Tran and A. Zumba, Zeros of polynomials with four-term recurrence. Involve, a Journal of Mathematics Vol. 11 (2018), No. 3, 501–518.

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. Approx. 46 (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. Markin, On 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 25, No. 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.

C. Caprau, T. Okano, and D. Orton, Singular links and Yang-Baxter state models, Rocky Mountain Journal of Mathematics, Vol. 46, No. 6 (2016) 1867-1898. DOI:10.1216/RMJ-2016-46-6-1867.

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 Nogin, Strategies 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.