Kosov, Egor; Zhukova, Anastasia Improved bounds for the total variation distance between stochastic polynomials. (English) Zbl 07812487 Stochastic Processes Appl. 170, Article ID 104279, 15 p. (2024). MSC: 26C99 60E15 60F17 60B10 60E10 PDFBibTeX XMLCite \textit{E. Kosov} and \textit{A. Zhukova}, Stochastic Processes Appl. 170, Article ID 104279, 15 p. (2024; Zbl 07812487) Full Text: DOI arXiv
Ma, Lande; Ma, Zhaokun On the number of real zeros of polynomials of even degree. (English) Zbl 07802964 Bull. Aust. Math. Soc. 109, No. 1, 89-93 (2024). MSC: 26C10 12D10 30C10 30C15 PDFBibTeX XMLCite \textit{L. Ma} and \textit{Z. Ma}, Bull. Aust. Math. Soc. 109, No. 1, 89--93 (2024; Zbl 07802964) Full Text: DOI
Błachut, Kacper; Kowalczyk, Tomasz Sums of squares on hypersurfaces. (English) Zbl 07802386 Result. Math. 79, No. 2, Paper No. 90, 11 p. (2024). MSC: 14P05 26C99 PDFBibTeX XMLCite \textit{K. Błachut} and \textit{T. Kowalczyk}, Result. Math. 79, No. 2, Paper No. 90, 11 p. (2024; Zbl 07802386) Full Text: DOI arXiv
Riener, Cordian; Schabert, Robin Linear slices of hyperbolic polynomials and positivity of symmetric polynomial functions. (English) Zbl 07799799 J. Pure Appl. Algebra 228, No. 5, Article ID 107552, 21 p. (2024). MSC: 05E05 14P10 26C05 12D10 PDFBibTeX XMLCite \textit{C. Riener} and \textit{R. Schabert}, J. Pure Appl. Algebra 228, No. 5, Article ID 107552, 21 p. (2024; Zbl 07799799) Full Text: DOI arXiv
Thu Hien Nguyen; Vishnyakova, Anna Hutchinson’s intervals and entire functions from the Laguerre-Pólya class. (English) Zbl 07797063 Eur. J. Math. 10, No. 1, Paper No. 10, 14 p. (2024). MSC: 30C15 30D15 30D35 26C10 PDFBibTeX XMLCite \textit{Thu Hien Nguyen} and \textit{A. Vishnyakova}, Eur. J. Math. 10, No. 1, Paper No. 10, 14 p. (2024; Zbl 07797063) Full Text: DOI arXiv OA License
Białas, Stanisław; Białas-Cież, Leokadia; Kudra, Michał On the Hurwitz stability of noninteger Hadamard powers of stable polynomials. (English) Zbl 07787817 Linear Algebra Appl. 683, 111-124 (2024). MSC: 26C10 15A18 30C15 PDFBibTeX XMLCite \textit{S. Białas} et al., Linear Algebra Appl. 683, 111--124 (2024; Zbl 07787817) Full Text: DOI
Sawall, David; Schweighofer, Markus Amalgamation of real zero polynomials. (English) Zbl 07786241 Indag. Math., New Ser. 35, No. 1, 37-59 (2024). MSC: 26C05 PDFBibTeX XMLCite \textit{D. Sawall} and \textit{M. Schweighofer}, Indag. Math., New Ser. 35, No. 1, 37--59 (2024; Zbl 07786241) Full Text: DOI arXiv
Ding, Ming-Jian; Zhu, Bao-Xuan Some results related to Hurwitz stability of combinatorial polynomials. (English) Zbl 07757075 Adv. Appl. Math. 152, Article ID 102591, 39 p. (2024). MSC: 11B83 33C45 05A15 05A20 26C10 30B70 PDFBibTeX XMLCite \textit{M.-J. Ding} and \textit{B.-X. Zhu}, Adv. Appl. Math. 152, Article ID 102591, 39 p. (2024; Zbl 07757075) Full Text: DOI
Yang, Harold R. L.; Zhang, Philip B. Stable multivariate Narayana polynomials and labeled plane trees. arXiv:2403.15058 Preprint, arXiv:2403.15058 [math.CO] (2024). MSC: 05A15 26C10 BibTeX Cite \textit{H. R. L. Yang} and \textit{P. B. Zhang}, ``Stable multivariate Narayana polynomials and labeled plane trees'', Preprint, arXiv:2403.15058 [math.CO] (2024) Full Text: arXiv OA License
Hitczenko, Paweł A class of polynomial recurrences resulting in \((n/\log n, n/\log^2n)\)-asymptotic normality. arXiv:2403.03422 Preprint, arXiv:2403.03422 [math.CO] (2024). MSC: 05A15 26C10 60C05 60F05 BibTeX Cite \textit{P. Hitczenko}, ``A class of polynomial recurrences resulting in $(n/\log n, n/\log^2n)$-asymptotic normality'', Preprint, arXiv:2403.03422 [math.CO] (2024) Full Text: arXiv OA License
Klurman, Oleksiy; Lamzouri, Youness; Munsch, Marc Sign changes of short character sums and real zeros of Fekete polynomials. arXiv:2403.02195 Preprint, arXiv:2403.02195 [math.NT] (2024). MSC: 11L40 11M06 26C10 30C15 11M20 BibTeX Cite \textit{O. Klurman} et al., ``Sign changes of short character sums and real zeros of Fekete polynomials'', Preprint, arXiv:2403.02195 [math.NT] (2024) Full Text: arXiv OA License
Debus, Sebastian; Riener, Cordian; Schabert, Robin Stable and Hurwitz slices, a degree principle and a generalized Grace-Walsh-Szegő theorem. arXiv:2402.05905 Preprint, arXiv:2402.05905 [math.AG] (2024). MSC: 12D10 20C30 26C10 14P10 BibTeX Cite \textit{S. Debus} et al., ``Stable and Hurwitz slices, a degree principle and a generalized Grace-Walsh-Szeg\H{o} theorem'', Preprint, arXiv:2402.05905 [math.AG] (2024) Full Text: arXiv OA License
Katkova, Olga; Vishnyakova, Anna An analog of multiplier sequences for the set of totally positive sequences. arXiv:2402.05017 Preprint, arXiv:2402.05017 [math.CV] (2024). MSC: 30C15 15B48 30D15 26C10 30D99 30B10 BibTeX Cite \textit{O. Katkova} and \textit{A. Vishnyakova}, ``An analog of multiplier sequences for the set of totally positive sequences'', Preprint, arXiv:2402.05017 [math.CV] (2024) Full Text: arXiv OA License
Badger, Matthew; Jeznach, Cole On the number of nodal domains of homogeneous caloric polynomials. arXiv:2401.07268 Preprint, arXiv:2401.07268 [math.AP] (2024). MSC: 35K05 26C05 26C10 35R35 BibTeX Cite \textit{M. Badger} and \textit{C. Jeznach}, ``On the number of nodal domains of homogeneous caloric polynomials'', Preprint, arXiv:2401.07268 [math.AP] (2024) Full Text: arXiv OA License
Pirhadi, Ali Real zeros of random trigonometric polynomials with \(\ell\)-periodic coefficients. (English) Zbl 07797462 Colloq. Math. 174, No. 1, 121-150 (2023). MSC: 26C10 30C15 42A05 PDFBibTeX XMLCite \textit{A. Pirhadi}, Colloq. Math. 174, No. 1, 121--150 (2023; Zbl 07797462) Full Text: DOI arXiv
He, Jimmy; Tuan Pham, Huy; Wenqiang Xu, Max Universality for low-degree factors of random polynomials over finite fields. (English) Zbl 07794890 Int. Math. Res. Not. 2023, No. 17, 14752-14794 (2023). MSC: 26Cxx 60C05 11T06 PDFBibTeX XMLCite \textit{J. He} et al., Int. Math. Res. Not. 2023, No. 17, 14752--14794 (2023; Zbl 07794890) Full Text: DOI arXiv
Lefèvre, Claude; Picard, Philippe Abel-Gontcharoff polynomials, parking trajectories and ruin probabilities. (English) Zbl 07794356 Depend. Model. 11, Article ID 20230107, 17 p. (2023). MSC: 26C05 05A99 91B30 PDFBibTeX XMLCite \textit{C. Lefèvre} and \textit{P. Picard}, Depend. Model. 11, Article ID 20230107, 17 p. (2023; Zbl 07794356) Full Text: DOI OA License
Panzone, Pablo Andres On the zeros of certain polynomials and entire functions. (English) Zbl 07794176 Proyecciones 42, No. 4, 861-877 (2023). MSC: 26C10 30C15 PDFBibTeX XMLCite \textit{P. A. Panzone}, Proyecciones 42, No. 4, 861--877 (2023; Zbl 07794176) Full Text: DOI
Glasser, M. L. A note on solvable equations including De Moivre’s quintic. (English) Zbl 07782827 Sci., Ser. A, Math. Sci. (N.S.) 33, 29-33 (2023). MSC: 13P15 26C10 65H04 PDFBibTeX XMLCite \textit{M. L. Glasser}, Sci., Ser. A, Math. Sci. (N.S.) 33, 29--33 (2023; Zbl 07782827) Full Text: Link
Kozhasov, Khazhgali; Lasserre, Jean B. Volumes of sublevel sets of nonnegative forms and complete monotonicity. (English) Zbl 07777560 SIAM J. Appl. Algebra Geom. 7, No. 4, 768-785 (2023). Reviewer: Jaewoo Jung (Daejeon) MSC: 14P10 26B15 26C05 26C10 44A10 51M25 PDFBibTeX XMLCite \textit{K. Kozhasov} and \textit{J. B. Lasserre}, SIAM J. Appl. Algebra Geom. 7, No. 4, 768--785 (2023; Zbl 07777560) Full Text: DOI
Kostov, Vladimir Beyond Descartes’ rule of signs. (English) Zbl 07772762 Constr. Math. Anal. 6, No. 2, 128-141 (2023). MSC: 26C10 PDFBibTeX XMLCite \textit{V. Kostov}, Constr. Math. Anal. 6, No. 2, 128--141 (2023; Zbl 07772762) Full Text: DOI arXiv
Steinerberger, Stefan Free convolution powers via roots of polynomials. (English) Zbl 07772712 Exp. Math. 32, No. 4, 567-572 (2023). MSC: 46L54 26C10 PDFBibTeX XMLCite \textit{S. Steinerberger}, Exp. Math. 32, No. 4, 567--572 (2023; Zbl 07772712) Full Text: DOI arXiv
Heim, Bernhard; Neuhauser, Markus; Tröger, Robert Zeros transfer for recursively defined polynomials. (English) Zbl 07771757 Res. Number Theory 9, No. 4, Paper No. 79, 14 p. (2023). MSC: 11F30 11F20 39A06 11F20 11B83 26C10 PDFBibTeX XMLCite \textit{B. Heim} et al., Res. Number Theory 9, No. 4, Paper No. 79, 14 p. (2023; Zbl 07771757) Full Text: DOI arXiv OA License
Kucharz, Wojciech Approximation and homotopy in regulous geometry. (English) Zbl 07771561 Compos. Math. 160, No. 1, 1-20 (2023). Reviewer: Aris Daniilidis (Wien) MSC: 14P05 26C15 14P25 57R99 PDFBibTeX XMLCite \textit{W. Kucharz}, Compos. Math. 160, No. 1, 1--20 (2023; Zbl 07771561) Full Text: DOI arXiv
Barbagallo, María Laura; Jeronimo, Gabriela; Sabia, Juan On the zeros of univariate E-polynomials. (English) Zbl 07769963 Rev. Unión Mat. Argent. 65, No. 1, 33-46 (2023). MSC: 14P15 30C15 26C10 PDFBibTeX XMLCite \textit{M. L. Barbagallo} et al., Rev. Unión Mat. Argent. 65, No. 1, 33--46 (2023; Zbl 07769963) Full Text: DOI
Simanek, Brian Convergence rates of exceptional zeros of exceptional orthogonal polynomials. (English) Zbl 07762916 Comput. Methods Funct. Theory 23, No. 4, 629-649 (2023). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 26C10 30C15 33C47 PDFBibTeX XMLCite \textit{B. Simanek}, Comput. Methods Funct. Theory 23, No. 4, 629--649 (2023; Zbl 07762916) Full Text: DOI arXiv
Monnier, Jean-Philippe Central algebraic geometry and seminormality. (English) Zbl 07761214 Rend. Semin. Mat. Univ. Padova 150, 181-226 (2023). MSC: 14P99 13B22 26C15 PDFBibTeX XMLCite \textit{J.-P. Monnier}, Rend. Semin. Mat. Univ. Padova 150, 181--226 (2023; Zbl 07761214) Full Text: DOI arXiv
Bhunia, Pintu; Jana, Suvendu; Paul, Kallol Numerical radius inequalities and estimation of zeros of polynomials. (English) Zbl 07757053 Georgian Math. J. 30, No. 5, 671-682 (2023). MSC: 47A12 26C10 47A30 30C15 PDFBibTeX XMLCite \textit{P. Bhunia} et al., Georgian Math. J. 30, No. 5, 671--682 (2023; Zbl 07757053) Full Text: DOI arXiv
Schipp, Ferenc Convolution operators on the disk. (English) Zbl 07751559 Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 281-294 (2023). MSC: 30J10 26C15 30J99 65T99 PDFBibTeX XMLCite \textit{F. Schipp}, Ann. Univ. Sci. Budap. Rolando Eötvös, Sect. Comput. 54, 281--294 (2023; Zbl 07751559) Full Text: Link
Dutta, Arpan Extensions of valuations to rational function fields over completions. (English) Zbl 07750739 Math. Nachr. 296, No. 10, 4745-4768 (2023). MSC: 81P68 26C15 16W60 11B83 11R45 PDFBibTeX XMLCite \textit{A. Dutta}, Math. Nachr. 296, No. 10, 4745--4768 (2023; Zbl 07750739) Full Text: DOI arXiv
Hachimori, Masahiro; Yamada, Yumi Some computational study of the root distribution of Ehrhart polynomials. (English) Zbl 1523.52021 Int. Game Theory Rev. 25, No. 3, Article ID 2340005, 15 p. (2023). MSC: 52B20 26C10 PDFBibTeX XMLCite \textit{M. Hachimori} and \textit{Y. Yamada}, Int. Game Theory Rev. 25, No. 3, Article ID 2340005, 15 p. (2023; Zbl 1523.52021) Full Text: DOI
Liu, Max Y. C.; Wang, David G. L. A unimodal sequence with mode at a quarter length. (English) Zbl 07745977 J. Difference Equ. Appl. 29, No. 7, 763-778 (2023). MSC: 05A20 05A10 05A15 33F10 26C10 PDFBibTeX XMLCite \textit{M. Y. C. Liu} and \textit{D. G. L. Wang}, J. Difference Equ. Appl. 29, No. 7, 763--778 (2023; Zbl 07745977) Full Text: DOI arXiv
Dózsa, Tamás Inverses of rational functions. (English) Zbl 07742397 Acta Cybern. 26, No. 1, 53-69 (2023). MSC: 30J10 26C15 30J99 65T99 PDFBibTeX XMLCite \textit{T. Dózsa}, Acta Cybern. 26, No. 1, 53--69 (2023; Zbl 07742397) Full Text: DOI
Mir, Mohammad Ibrahim; Nazir, Ishfaq; Wani, Irfan Ahmad Some results concerning Sendov’s conjecture. (English) Zbl 07742078 J. Indian Math. Soc., New Ser. 90, No. 1-2, 159-164 (2023). MSC: 26C10 30C15 PDFBibTeX XMLCite \textit{M. I. Mir} et al., J. Indian Math. Soc., New Ser. 90, No. 1--2, 159--164 (2023; Zbl 07742078) Full Text: DOI
Heydari, Mohammad Hossein; Razzaghi, Mohsen; Zhagharian, Shabnam Numerical solution of distributed-order fractional 2D optimal control problems using the Bernstein polynomials. (English) Zbl 1521.49025 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 10, 2253-2267 (2023). MSC: 49M99 26C05 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 54, No. 10, 2253--2267 (2023; Zbl 1521.49025) Full Text: DOI
Ignat’ev, Yu. G. Evolution of spherical perturbations in the cosmological environment of degenerate scalar-charged fermions with a scalar Higgs coupling. (English. Russian original) Zbl 07723441 Theor. Math. Phys. 215, No. 3, 862-892 (2023); translation from Teor. Mat. Fiz. 215, No. 3, 465-499 (2023). MSC: 83F05 52A55 35B20 76E20 81V74 26C05 PDFBibTeX XMLCite \textit{Yu. G. Ignat'ev}, Theor. Math. Phys. 215, No. 3, 862--892 (2023; Zbl 07723441); translation from Teor. Mat. Fiz. 215, No. 3, 465--499 (2023) Full Text: DOI arXiv
Higashitani, Akihiro; Yamada, Yumi The distribution of roots of Ehrhart polynomials for the dual of root polytopes of type \(C\). (English) Zbl 1521.52006 Graphs Comb. 39, No. 4, Paper No. 83, 13 p. (2023). Reviewer: Oleg Karpenkov (Liverpool) MSC: 52B20 26C10 PDFBibTeX XMLCite \textit{A. Higashitani} and \textit{Y. Yamada}, Graphs Comb. 39, No. 4, Paper No. 83, 13 p. (2023; Zbl 1521.52006) Full Text: DOI arXiv
Botta, Vanessa; Filho, Eduardo Fornazieri On polynomials generated by a four-term recurrence relation and linear coefficients. (English) Zbl 07721384 Calcolo 60, No. 3, Paper No. 33, 12 p. (2023). MSC: 26C10 30C15 PDFBibTeX XMLCite \textit{V. Botta} and \textit{E. F. Filho}, Calcolo 60, No. 3, Paper No. 33, 12 p. (2023; Zbl 07721384) Full Text: DOI
Martínez, Ángel D.; Torres de Lizaur, Francisco Sign equidistribution of Legendre polynomials. (English) Zbl 07714724 Anal. Math. Phys. 13, No. 4, Paper No. 59, 10 p. (2023). MSC: 26Cxx 30-XX 33Cxx PDFBibTeX XMLCite \textit{Á. D. Martínez} and \textit{F. Torres de Lizaur}, Anal. Math. Phys. 13, No. 4, Paper No. 59, 10 p. (2023; Zbl 07714724) Full Text: DOI arXiv
Kilar, Neslihan; Simsek, Yilmaz; Srivastava, H. M. Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions. (English) Zbl 07713327 Ramanujan J. 61, No. 3, 731-756 (2023). MSC: 11B68 05A15 26C05 33B10 44A10 PDFBibTeX XMLCite \textit{N. Kilar} et al., Ramanujan J. 61, No. 3, 731--756 (2023; Zbl 07713327) Full Text: DOI
Abrams, Aaron; Pommersheim, James An illustrated encyclopedia of area relations. (English) Zbl 07712505 Eur. J. Math. 9, No. 3, Paper No. 49, 46 p. (2023). Reviewer: Lionel Pournin (Paris) MSC: 51M25 14M99 26C10 PDFBibTeX XMLCite \textit{A. Abrams} and \textit{J. Pommersheim}, Eur. J. Math. 9, No. 3, Paper No. 49, 46 p. (2023; Zbl 07712505) Full Text: DOI arXiv
Goubi, Mouloud Generating functions for generalization of Simsek numbers and their applications. (English) Zbl 1524.11062 Appl. Anal. Discrete Math. 17, No. 1, 262-272 (2023). MSC: 11B73 26C10 PDFBibTeX XMLCite \textit{M. Goubi}, Appl. Anal. Discrete Math. 17, No. 1, 262--272 (2023; Zbl 1524.11062) Full Text: DOI
Poirier, Alfredo; Torres, Jesus Approximating roots by quadratic iteration. (English) Zbl 07710068 Proyecciones 42, No. 2, 407-431 (2023). Reviewer: José Manuel Gutiérrez Jimenez (Logroño) MSC: 37F10 37N40 12D10 26C10 30C15 65H04 PDFBibTeX XMLCite \textit{A. Poirier} and \textit{J. Torres}, Proyecciones 42, No. 2, 407--431 (2023; Zbl 07710068) Full Text: DOI
Singh, Jitender; Garg, Rishu A note on Perron’s irreducibility criterion. (English) Zbl 1518.12001 Arch. Math. 121, No. 1, 33-38 (2023). MSC: 12E05 26C10 12D10 26D05 11C08 PDFBibTeX XMLCite \textit{J. Singh} and \textit{R. Garg}, Arch. Math. 121, No. 1, 33--38 (2023; Zbl 1518.12001) Full Text: DOI
Angst, Jürgen; Poly, Guillaume Fluctuations in Salem-Zygmund almost sure central limit theorem. (English) Zbl 1518.60053 Electron. J. Probab. 28, Paper No. 44, 40 p. (2023). MSC: 60F17 26C10 30C15 42A05 60G55 PDFBibTeX XMLCite \textit{J. Angst} and \textit{G. Poly}, Electron. J. Probab. 28, Paper No. 44, 40 p. (2023; Zbl 1518.60053) Full Text: DOI arXiv Link
Reingachan, N.; Chanam, Barchand Bernstein and Turán type inequalities for the polar derivative of a polynomial. (Bernstien and Turán type inequalities for the polar derivative of a polynomial.) (English) Zbl 1518.26014 Nonlinear Funct. Anal. Appl. 28, No. 1, 287-294 (2023). MSC: 26D05 26C05 26C10 PDFBibTeX XMLCite \textit{N. Reingachan} and \textit{B. Chanam}, Nonlinear Funct. Anal. Appl. 28, No. 1, 287--294 (2023; Zbl 1518.26014) Full Text: Link
Raposo, Anselmo jun.; Teixeira, Katiuscia B. Vector-valued Kahane-Salem-Zygmund inequalities with asymptotically bounded constants. (English) Zbl 07701495 Linear Algebra Appl. 672, 134-146 (2023). MSC: 26C05 PDFBibTeX XMLCite \textit{A. Raposo jun.} and \textit{K. B. Teixeira}, Linear Algebra Appl. 672, 134--146 (2023; Zbl 07701495) Full Text: DOI
Arvesú, J.; Driver, K.; Littlejohn, L. L. Zeros of Jacobi and ultraspherical polynomials. (English) Zbl 07695121 Ramanujan J. 61, No. 2, 629-648 (2023). MSC: 33C45 42C05 26C10 12D10 PDFBibTeX XMLCite \textit{J. Arvesú} et al., Ramanujan J. 61, No. 2, 629--648 (2023; Zbl 07695121) Full Text: DOI arXiv
Coutin, Laure; Peralta, Liliana Rates of convergence for the number of zeros of random trigonometric polynomials. (English) Zbl 07691569 Bernoulli 29, No. 3, 1983-2007 (2023). MSC: 60G99 60F05 26C10 30C15 PDFBibTeX XMLCite \textit{L. Coutin} and \textit{L. Peralta}, Bernoulli 29, No. 3, 1983--2007 (2023; Zbl 07691569) Full Text: DOI arXiv Link
Andrews, George E.; Dragović, Vladimir; Radnović, Milena Combinatorics of periodic ellipsoidal billiards. (English) Zbl 1522.37040 Ramanujan J. 61, No. 1, 135-147 (2023). Reviewer: Daniel Jaud (München) MSC: 37C83 37E15 37C27 37C55 05A15 05A17 14H70 37J35 26C05 39B22 PDFBibTeX XMLCite \textit{G. E. Andrews} et al., Ramanujan J. 61, No. 1, 135--147 (2023; Zbl 1522.37040) Full Text: DOI arXiv
Raposo, Anselmo jun.; Teixeira, Katiuscia B. On real-valued homogeneous polynomials with many variables. (English) Zbl 1528.26020 Proc. Am. Math. Soc. 151, No. 8, 3529-3533 (2023). Reviewer: Olga M. Katkova (Boston) MSC: 26C05 46A45 26D05 PDFBibTeX XMLCite \textit{A. Raposo jun.} and \textit{K. B. Teixeira}, Proc. Am. Math. Soc. 151, No. 8, 3529--3533 (2023; Zbl 1528.26020) Full Text: DOI
Huan, Zhen; Liu, Lily Li; Yan, Xue A unified approach to multivariate polynomial sequences with real stability. (English) Zbl 1523.26007 Adv. Appl. Math. 148, Article ID 102534, 25 p. (2023). MSC: 26C10 05A15 30C15 PDFBibTeX XMLCite \textit{Z. Huan} et al., Adv. Appl. Math. 148, Article ID 102534, 25 p. (2023; Zbl 1523.26007) Full Text: DOI
Arizmendi, Octavio; Garza-Vargas, Jorge; Perales, Daniel Finite free cumulants: multiplicative convolutions, genus expansion and infinitesimal distributions. (English) Zbl 1525.46045 Trans. Am. Math. Soc. 376, No. 6, 4383-4420 (2023). MSC: 46L54 26C10 60B20 PDFBibTeX XMLCite \textit{O. Arizmendi} et al., Trans. Am. Math. Soc. 376, No. 6, 4383--4420 (2023; Zbl 1525.46045) Full Text: DOI arXiv
Dragović, Vladimir; Radnović, Milena Resonance of ellipsoidal billiard trajectories and extremal rational functions. (English) Zbl 1512.14019 Adv. Math. 424, Article ID 109044, 51 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 41A10 70H06 37J35 26C05 PDFBibTeX XMLCite \textit{V. Dragović} and \textit{M. Radnović}, Adv. Math. 424, Article ID 109044, 51 p. (2023; Zbl 1512.14019) Full Text: DOI arXiv
Nazir, Ishfaq; Mir, Mohammd Ibrahim; Wani, Irfan Ahmad On the zeros of generalized derivative of a polynomial. (English) Zbl 1514.26006 Korean J. Math. 31, No. 1, 49-54 (2023). MSC: 26C10 30C15 PDFBibTeX XMLCite \textit{I. Nazir} et al., Korean J. Math. 31, No. 1, 49--54 (2023; Zbl 1514.26006) Full Text: DOI
Liang, Huyile; Pei, Yanni; Wang, Yi Analytic combinatorics of coordination numbers of cubic lattices. (English) Zbl 1512.05035 Adv. Appl. Math. 147, Article ID 102518, 30 p. (2023). MSC: 05A15 15B48 26C10 60F05 11B83 PDFBibTeX XMLCite \textit{H. Liang} et al., Adv. Appl. Math. 147, Article ID 102518, 30 p. (2023; Zbl 1512.05035) Full Text: DOI arXiv
Erdélyi, Tamás Improved results on the oscillation of the modulus of the Rudin-Shapiro polynomials on the unit circle. (English) Zbl 07679764 Proc. Am. Math. Soc. 151, No. 7, 2733-2740 (2023). Reviewer: Artūras Dubickas (Vilnius) MSC: 11C08 11R09 41A17 26C10 30C15 PDFBibTeX XMLCite \textit{T. Erdélyi}, Proc. Am. Math. Soc. 151, No. 7, 2733--2740 (2023; Zbl 07679764) Full Text: DOI arXiv
Dey, Hiranya Kishore Interlacing of zeroes of certain real-rooted polynomials. (English) Zbl 1528.05004 Arch. Math. 120, No. 5, 457-466 (2023). MSC: 05A15 05A05 11B68 11B83 11B75 26C10 PDFBibTeX XMLCite \textit{H. K. Dey}, Arch. Math. 120, No. 5, 457--466 (2023; Zbl 1528.05004) Full Text: DOI
Cardon, David A.; Sorensen, Evan L.; White, Jason C. Interlacing properties of coefficient polynomials in differential operator representations of real-root preserving linear transformations. (English) Zbl 07678819 Constr. Approx. 57, No. 1, 235-253 (2023). MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{D. A. Cardon} et al., Constr. Approx. 57, No. 1, 235--253 (2023; Zbl 07678819) Full Text: DOI arXiv
Gün, Damla; Şimşek, Yilmaz Generating functions for reciprocal Catalan-type sums: approach to linear differentiation equation and (\(p\)-adic) integral equations. (English) Zbl 1520.11097 Turk. J. Math. 47, No. 2, 830-845 (2023). Reviewer: Mouad Moutaoukil (Fès) MSC: 11S80 11B68 05A15 05A19 26C05 12D10 PDFBibTeX XMLCite \textit{D. Gün} and \textit{Y. Şimşek}, Turk. J. Math. 47, No. 2, 830--845 (2023; Zbl 1520.11097) Full Text: DOI
Athanasiadis, Christos A.; Kalampogia-Evangelinou, Katerina Chain enumeration, partition lattices and polynomials with only real roots. (English) Zbl 1508.05003 Comb. Theory 3, No. 1, Paper No. 12, 21 p. (2023). MSC: 05A05 05A18 05E45 06A07 26C10 PDFBibTeX XMLCite \textit{C. A. Athanasiadis} and \textit{K. Kalampogia-Evangelinou}, Comb. Theory 3, No. 1, Paper No. 12, 21 p. (2023; Zbl 1508.05003) Full Text: DOI arXiv
Ludew, Jakub Jan; Różański, Michał; Słowik, Roksana; Wituła, Roman A new description of the complex roots using zeros of some polynomials. (English) Zbl 1520.12001 Result. Math. 78, No. 3, Paper No. 74, 6 p. (2023). Reviewer: Olga M. Katkova (Boston) MSC: 12D10 26C10 30C15 PDFBibTeX XMLCite \textit{J. J. Ludew} et al., Result. Math. 78, No. 3, Paper No. 74, 6 p. (2023; Zbl 1520.12001) Full Text: DOI
Malajovich, Gregorio On the expected number of real roots of polynomials and exponential sums. (English) Zbl 07667576 J. Complexity 76, Article ID 101720, 11 p. (2023). MSC: 65H10 12Y05 15B52 26C10 PDFBibTeX XMLCite \textit{G. Malajovich}, J. Complexity 76, Article ID 101720, 11 p. (2023; Zbl 07667576) Full Text: DOI arXiv
Homa, G.; Balka, R.; Bernád, J. Z.; Károly, M.; Csordás, A. Newton’s identities and positivity of trace class integral operators. (English) Zbl 1521.81016 J. Phys. A, Math. Theor. 56, No. 14, Article ID 145203, 14 p. (2023). MSC: 81P16 47B65 47N20 81S30 47B10 26C05 94A17 PDFBibTeX XMLCite \textit{G. Homa} et al., J. Phys. A, Math. Theor. 56, No. 14, Article ID 145203, 14 p. (2023; Zbl 1521.81016) Full Text: DOI arXiv
Hernández Cifre, María A.; Tárraga, Miriam; Yepes Nicolás, Jesús On the roots of polynomials with log-convex coefficients. (English) Zbl 07666935 Can. J. Math. 75, No. 2, 470-493 (2023). MSC: 26Cxx 30C15 PDFBibTeX XMLCite \textit{M. A. Hernández Cifre} et al., Can. J. Math. 75, No. 2, 470--493 (2023; Zbl 07666935) Full Text: DOI
Chourasiya, Shashi; Jamal, Md Kashif; Maji, Bibekananda A new Ramanujan-type identity for \(L(2k+1, \chi_1)\). (English) Zbl 1517.11104 Ramanujan J. 60, No. 3, 729-750 (2023). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 26C10 PDFBibTeX XMLCite \textit{S. Chourasiya} et al., Ramanujan J. 60, No. 3, 729--750 (2023; Zbl 1517.11104) Full Text: DOI arXiv
Gardoll, Stephan; Sayyary Namin, Mahsa; Theobald, Thorsten Imaginary projections: complex versus real coefficients. (English) Zbl 1523.14097 J. Pure Appl. Algebra 227, No. 6, Article ID 107308, 22 p. (2023). MSC: 14P10 12D10 26C10 30C15 32A08 90C22 PDFBibTeX XMLCite \textit{S. Gardoll} et al., J. Pure Appl. Algebra 227, No. 6, Article ID 107308, 22 p. (2023; Zbl 1523.14097) Full Text: DOI arXiv
Eisenmann, Henrik; Uschmajew, André Maximum relative distance between real rank-two and rank-one tensors. (English) Zbl 1514.15034 Ann. Mat. Pura Appl. (4) 202, No. 2, 993-1009 (2023). MSC: 15A69 15A60 14N07 26C05 PDFBibTeX XMLCite \textit{H. Eisenmann} and \textit{A. Uschmajew}, Ann. Mat. Pura Appl. (4) 202, No. 2, 993--1009 (2023; Zbl 1514.15034) Full Text: DOI arXiv
Shukla, Vinay; Swaminathan, A. Spectral properties related to generalized complementary Romanovski-Routh polynomials. (English) Zbl 1515.42020 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 78, 22 p. (2023). Reviewer: Wilfredo Urbina (Chicago) MSC: 42C05 33C45 26C10 15A18 PDFBibTeX XMLCite \textit{V. Shukla} and \textit{A. Swaminathan}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 2, Paper No. 78, 22 p. (2023; Zbl 1515.42020) Full Text: DOI arXiv
Kucharz, Wojciech; Kurdyka, Krzysztof Regulous functions over real closed fields. (English) Zbl 1509.14112 Int. Math. Res. Not. 2023, No. 3, 2649-2664 (2023). Reviewer: Alexander Kovačec (Coimbra) MSC: 14P05 14P20 26C15 12D99 58A07 PDFBibTeX XMLCite \textit{W. Kucharz} and \textit{K. Kurdyka}, Int. Math. Res. Not. 2023, No. 3, 2649--2664 (2023; Zbl 1509.14112) Full Text: DOI
Fujie, Katsunori; Ueda, Yuki Law of large numbers for roots of finite free multiplicative convolution of polynomials. (English) Zbl 07648410 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 004, 11 p. (2023). MSC: 46L54 26C10 60F05 PDFBibTeX XMLCite \textit{K. Fujie} and \textit{Y. Ueda}, SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 004, 11 p. (2023; Zbl 07648410) Full Text: DOI arXiv
Kilar, Neslihan; Kim, Daeyeoul; Simsek, Yilmaz Formulae bringing to light from certain classes of numbers and polynomials. (English) Zbl 1503.11048 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 27, 21 p. (2023). MSC: 11B68 05A15 11B73 26C05 33B10 PDFBibTeX XMLCite \textit{N. Kilar} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 117, No. 1, Paper No. 27, 21 p. (2023; Zbl 1503.11048) Full Text: DOI
Zhu, Jun-Ming; Luo, Qiu-Ming Partial-fraction decomposition of a rational function and its application. (English) Zbl 07640584 Adv. Contin. Discrete Models 2023, Paper No. 1, 22 p. (2023). MSC: 30E20 30C15 26C15 11B83 11B68 11B73 33C05 PDFBibTeX XMLCite \textit{J.-M. Zhu} and \textit{Q.-M. Luo}, Adv. Contin. Discrete Models 2023, Paper No. 1, 22 p. (2023; Zbl 07640584) Full Text: DOI
Frakis, Abdelkader; Kittaneh, Fuad; Soltani, Soumia New numerical radius inequalities for operator matrices and a bound for the zeros of polynomials. (English) Zbl 07630100 Adv. Oper. Theory 8, No. 1, Paper No. 6, 13 p. (2023). MSC: 47A12 47A30 26C10 30C15 PDFBibTeX XMLCite \textit{A. Frakis} et al., Adv. Oper. Theory 8, No. 1, Paper No. 6, 13 p. (2023; Zbl 07630100) Full Text: DOI
Ressel, Paul On the compounding of higher order monotonic pseudo-Boolean functions. (English) Zbl 07621105 Positivity 27, No. 1, Paper No. 3, 13 p. (2023). MSC: 26A48 26D07 26C99 06E30 PDFBibTeX XMLCite \textit{P. Ressel}, Positivity 27, No. 1, Paper No. 3, 13 p. (2023; Zbl 07621105) Full Text: DOI arXiv
Sastre, Jorge; Ibáñez, Javier On the backward and forward error of approximations of analytic functions and applications to the computation of matrix functions. (English) Zbl 1502.65022 J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023). MSC: 65F60 65D15 15A16 26C15 41-04 41A10 PDFBibTeX XMLCite \textit{J. Sastre} and \textit{J. Ibáñez}, J. Comput. Appl. Math. 419, Article ID 114706, 18 p. (2023; Zbl 1502.65022) Full Text: DOI
Liu, Lily Li; Yan, Xue Zeros distribution of the reverse strong Turán expressions of polynomials sequences. (English) Zbl 1511.26018 Adv. Appl. Math. 142, Article ID 102426, 19 p. (2023). Reviewer: Armin Rainer (Wien) MSC: 26C10 05A15 05A20 PDFBibTeX XMLCite \textit{L. L. Liu} and \textit{X. Yan}, Adv. Appl. Math. 142, Article ID 102426, 19 p. (2023; Zbl 1511.26018) Full Text: DOI
Ellingson, Pierce; Jafari, Farhad A fundamental theorem of algebra for sums of exponentials. arXiv:2312.15543 Preprint, arXiv:2312.15543 [math.CA] (2023). MSC: 26Cxx 37M10 42A70 BibTeX Cite \textit{P. Ellingson} and \textit{F. Jafari}, ``A fundamental theorem of algebra for sums of exponentials'', Preprint, arXiv:2312.15543 [math.CA] (2023) Full Text: arXiv OA License
Wakhare, Tanay Iterated Entropy Derivatives and Binary Entropy Inequalities. arXiv:2312.14743 Preprint, arXiv:2312.14743 [cs.IT] (2023). MSC: 94A17 26C10 11B65 05A10 BibTeX Cite \textit{T. Wakhare}, ``Iterated Entropy Derivatives and Binary Entropy Inequalities'', Preprint, arXiv:2312.14743 [cs.IT] (2023) Full Text: arXiv OA License
Bedert, Benjamin On the zeros of reciprocal Littlewood polynomials. arXiv:2312.04454 Preprint, arXiv:2312.04454 [math.CA] (2023). MSC: 11C08 26C10 30C15 41A17 BibTeX Cite \textit{B. Bedert}, ``On the zeros of reciprocal Littlewood polynomials'', Preprint, arXiv:2312.04454 [math.CA] (2023) Full Text: arXiv OA License
Singh, Jitender; Garg, Rishu Some factorization results on polynomials having integer coefficients. arXiv:2311.15611 Preprint, arXiv:2311.15611 [math.NT] (2023). MSC: 12E05 30C15 11C08 26C10 26D05 30A10 BibTeX Cite \textit{J. Singh} and \textit{R. Garg}, ``Some factorization results on polynomials having integer coefficients'', Preprint, arXiv:2311.15611 [math.NT] (2023) Full Text: DOI arXiv OA License
Simsek, Yilmaz Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions. arXiv:2311.10124 Preprint, arXiv:2311.10124 [math.CA] (2023). MSC: 11S80 11B68 05A15 05A19 11M35 30C15 26C05 12D10 33C45 14F10 12D10 26C10 30B40 22-XX 44A10 BibTeX Cite \textit{Y. Simsek}, ``Novel Formulas for B-Splines, Bernstein Basis Functions and special numbers: Approach to Derivative and Functional Equations of Generating Functions'', Preprint, arXiv:2311.10124 [math.CA] (2023) Full Text: DOI arXiv OA License
Belton, Alexander; Guillot, Dominique; Khare, Apoorva; Putinar, Mihai Matrix positivity preservers in fixed dimension. II: positive definiteness and strict monotonicity of Schur function ratios. arXiv:2310.18020 Preprint, arXiv:2310.18020 [math.CA] (2023). MSC: 15B48 05E05 15A24 15A45 26C05 BibTeX Cite \textit{A. Belton} et al., ``Matrix positivity preservers in fixed dimension. II: positive definiteness and strict monotonicity of Schur function ratios'', Preprint, arXiv:2310.18020 [math.CA] (2023) Full Text: arXiv OA License
Gati, Yousra; Kostov, Vladimir Petrov; Tarchi, Mohamed Chaouki Degree \(6\) hyperbolic polynomials and orders of moduli. arXiv:2310.14698 Preprint, arXiv:2310.14698 [math.CA] (2023). MSC: 26C10 30C15 BibTeX Cite \textit{Y. Gati} et al., ``Degree $6$ hyperbolic polynomials and orders of moduli'', Preprint, arXiv:2310.14698 [math.CA] (2023) Full Text: arXiv OA License
Richardson, Sean A Sharp Fourier Inequality and the Epanechnikov Kernel. arXiv:2310.09713 Preprint, arXiv:2310.09713 [math.CA] (2023). MSC: 42A05 26C05 65D10 BibTeX Cite \textit{S. Richardson}, ``A Sharp Fourier Inequality and the Epanechnikov Kernel'', Preprint, arXiv:2310.09713 [math.CA] (2023) Full Text: arXiv OA License
Singh, Jitender; Kumar, Sanjeev Irreducibility via location of zeros. arXiv:2309.08502 Preprint, arXiv:2309.08502 [math.NT] (2023). MSC: 12E05 30C15 11C08 26C10 26D05 30A10 BibTeX Cite \textit{J. Singh} and \textit{S. Kumar}, ``Irreducibility via location of zeros'', Preprint, arXiv:2309.08502 [math.NT] (2023) Full Text: arXiv OA License
Green, Nathaniel K.; Kim, Edward D. Further techniques on a polynomial positivity question of Collins, Dykema, and Torres-Ayala. arXiv:2307.06311 Preprint, arXiv:2307.06311 [math.OC] (2023). MSC: 11C99 15A42 15A10 26C10 90C22 BibTeX Cite \textit{N. K. Green} and \textit{E. D. Kim}, ``Further techniques on a polynomial positivity question of Collins, Dykema, and Torres-Ayala'', Preprint, arXiv:2307.06311 [math.OC] (2023) Full Text: arXiv OA License
Athanasiadis, Christos A.; Kalampogia-Evangelinou, Katerina Two classes of posets with real-rooted chain polynomials. arXiv:2307.04839 Preprint, arXiv:2307.04839 [math.CO] (2023). MSC: 05A15 05E45 06A07 26C10 BibTeX Cite \textit{C. A. Athanasiadis} and \textit{K. Kalampogia-Evangelinou}, ``Two classes of posets with real-rooted chain polynomials'', Preprint, arXiv:2307.04839 [math.CO] (2023) Full Text: arXiv OA License
Fichou, Goulwen; Monnier, Jean-Philippe; Quarez, Ronan On central orderings. arXiv:2307.04430 Preprint, arXiv:2307.04430 [math.AG] (2023). MSC: 06F25 14P99 13A99 26C99 BibTeX Cite \textit{G. Fichou} et al., ``On central orderings'', Preprint, arXiv:2307.04430 [math.AG] (2023) Full Text: arXiv OA License
Kaihnsa, Nidhi; Nguyen, Tung; Shiu, Anne Absolute Concentration Robustness and Multistationarity in Reaction Networks: Conditions for Coexistence. arXiv:2307.04186 Preprint, arXiv:2307.04186 [math.DS] (2023). MSC: 92E20 37N25 26C10 34A34 34C08 BibTeX Cite \textit{N. Kaihnsa} et al., ``Absolute Concentration Robustness and Multistationarity in Reaction Networks: Conditions for Coexistence'', Preprint, arXiv:2307.04186 [math.DS] (2023) Full Text: arXiv OA License
Barrera, Gerardo; Barrera, Waldemar; Navarrete, Juan Pablo Egerváry’s theorems for harmonic trinomials. arXiv:2307.01720 Preprint, arXiv:2307.01720 [math.CA] (2023). MSC: 12D10 30C15 26C10 30C10 BibTeX Cite \textit{G. Barrera} et al., ``Egerv\'ary's theorems for harmonic trinomials'', Preprint, arXiv:2307.01720 [math.CA] (2023) Full Text: arXiv OA License
Basavaraju, Pallavi; Hadimani, Shrinath; Jayaraman, Sachindranath Bounds on the moduli of eigenvalues of rational matrices. arXiv:2306.14776 Preprint, arXiv:2306.14776 [math.SP] (2023). MSC: 15A18 15A42 47A12 47A56 26C15 BibTeX Cite \textit{P. Basavaraju} et al., ``Bounds on the moduli of eigenvalues of rational matrices'', Preprint, arXiv:2306.14776 [math.SP] (2023) Full Text: arXiv OA License
Maji, Bibekananda; Sarkar, Tithi Zeros of Ramanujan-type Polynomials. arXiv:2306.10283 Preprint, arXiv:2306.10283 [math.NT] (2023). MSC: 26C10 11B68 BibTeX Cite \textit{B. Maji} and \textit{T. Sarkar}, ``Zeros of Ramanujan-type Polynomials'', Preprint, arXiv:2306.10283 [math.NT] (2023) Full Text: arXiv OA License
Bodin, Arnaud; Barroso, Evelia Rosa García; Popescu-Pampu, Patrick; Sorea, Miruna-Stefana Combinatorial study of morsifications of real univariate singularities. arXiv:2306.04601 Preprint, arXiv:2306.04601 [math.AG] (2023). MSC: 26C05 05E14 58K05 14P25 BibTeX Cite \textit{A. Bodin} et al., ``Combinatorial study of morsifications of real univariate singularities'', Preprint, arXiv:2306.04601 [math.AG] (2023) Full Text: arXiv OA License
Bakic, Rados Note on the Coincidence theorem. arXiv:2305.16438 Preprint, arXiv:2305.16438 [math.CV] (2023). MSC: 26C10 30C15 BibTeX Cite \textit{R. Bakic}, ``Note on the Coincidence theorem'', Preprint, arXiv:2305.16438 [math.CV] (2023) Full Text: arXiv OA License
Dressler, Mareike; Kuhlmann, Salma; Schick, Moritz Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits. arXiv:2305.14848 Preprint, arXiv:2305.14848 [math.AG] (2023). MSC: 14P99 90C23 12D15 26C10 52A99 52B99 BibTeX Cite \textit{M. Dressler} et al., ``Geometrical Study of the Cone of Sums of Squares plus Sums of Nonnegative Circuits'', Preprint, arXiv:2305.14848 [math.AG] (2023) Full Text: arXiv OA License
Chung, Juhoon; Tran, Khang Zeros of Taylor polynomials formed by a three-term recurrence. arXiv:2304.12444 Preprint, arXiv:2304.12444 [math.NT] (2023). MSC: 30C15 26C10 11C08 BibTeX Cite \textit{J. Chung} and \textit{K. Tran}, ``Zeros of Taylor polynomials formed by a three-term recurrence'', Preprint, arXiv:2304.12444 [math.NT] (2023) Full Text: arXiv OA License
Barrera, Gerardo; Barrera, Waldemar; Navarrete, Juan Pablo The stability region for Schur stable trinomials with general complex coefficients. arXiv:2304.09147 Preprint, arXiv:2304.09147 [math.CV] (2023). MSC: 12D10 26C10 30C15 93D23 11B37 BibTeX Cite \textit{G. Barrera} et al., ``The stability region for Schur stable trinomials with general complex coefficients'', Preprint, arXiv:2304.09147 [math.CV] (2023) Full Text: arXiv OA License
Kalantari, Bahman Solution of Real Cubic Equations without Cardano’s Formula. arXiv:2303.17747 Preprint, arXiv:2303.17747 [math.NA] (2023). MSC: 65H04 26C10 BibTeX Cite \textit{B. Kalantari}, ``Solution of Real Cubic Equations without Cardano's Formula'', Preprint, arXiv:2303.17747 [math.NA] (2023) Full Text: arXiv OA License
Galvin, David; Engbers, John; Smyth, Clifford Reciprocals of thinned exponential series. arXiv:2303.14057 Preprint, arXiv:2303.14057 [math.CO] (2023). MSC: 05A15 05A18 26C15 BibTeX Cite \textit{D. Galvin} et al., ``Reciprocals of thinned exponential series'', Preprint, arXiv:2303.14057 [math.CO] (2023) Full Text: arXiv OA License