Found 6,604 Documents (Results 1–100)
Fast evaluation and root finding for polynomials with floating-point coefficients. (English) Zbl 07923142
Further than Descartes’ rule of signs. (Au-delà de la règle des signes de Descartes.) (English. French summary) Zbl 07929049
On the zeros of polynomials and related regular functions of a quaternionic variable. (English) Zbl 07926909
Radii of lemniscate starlikeness and convexity of the functions including derivatives of Bessel functions. (English) Zbl 07926213
The degree one Laguerre-Pólya class and the shuffle-word-embedding conjecture. (English) Zbl 07926148
A characterization of random analytic functions satisfying Blaschke-type conditions. (English) Zbl 07926141
Non-real zeros of derivatives. (English) Zbl 07925642
Integral representations and zeros of the Lommel function and the hypergeometric \({}_1 F_2\) function. (English) Zbl 07925115
Twin Nicomachean \(q\)-identities and conjectures for the associated discriminants, polynomials, and inequalities. (English) Zbl 07924583
Andrews, George E. (ed.) et al., Analytic and combinatorial number theory: the legacy of Ramanujan. Contributions in honor of Bruce C. Berndt. Selected papers based on the presentations at the conference, Champaign, IL, USA, June 6–9, 2019. Singapore: World Scientific. Monogr. Number Theory 12, 409-433 (2024).
Anti-concentration applied to roots of randomized derivatives of polynomials. (English) Zbl 07922285
The zero locus and some combinatorial properties of certain exponential Sheffer sequences. (English) Zbl 07922119
On orthogonal polynomials related to arithmetic and harmonic sequences. (English) Zbl 07920222
Reviewer: Arash Ghaani Farashahi (Wien)
Algebraic winding numbers. (English) Zbl 07920095
Geometry on surfaces, a source for mathematical developments. (English) Zbl 07918839
Papadopoulos, Athanase (ed.), Surveys in geometry II. Cham: Springer. 7-70 (2024).
Introduction. (English) Zbl 07918838
Papadopoulos, Athanase (ed.), Surveys in geometry II. Cham: Springer. 1-6 (2024).
MSC:
12D10
14H55
20B25
26C10
30F10
30F20
20F55
30F30
30F60
32G15
51F20
51F15
51M35
53A35
53D30
53C70
57K10
On the coincidence theorem. (English) Zbl 07918198
Reviewer: Petar Popivanov (Sofia)
On Bernstein and Turán-type integral mean estimates for polar derivative of a polynomial. (English) Zbl 07917634
Asymptotic distribution of the zeros of a certain family of generalized hypergeometric polynomials. (English) Zbl 07916289
Number of components of polynomial lemniscates: a problem of Erdös, Herzog, and Piranian. (English) Zbl 07915154
Newton’s interpolation problem in the class of meromorphic functions with the fast-growing nodes. (Ukrainian. English summary) Zbl 07909395
Some refinements on lower bound estimates for polynomial with restricted zeros. (English) Zbl 07905931
Almost sure behavior of the zeros of iterated derivatives of random polynomials. (English) Zbl 07905744
Dirichlet series and -log 2. (English) Zbl 07904942
Exponential concentration for the number of roots of random trigonometric polynomials. (English. French summary) Zbl 07904826
Parametric “non-nested” discriminants for multiplicities of univariate polynomials. (English) Zbl 07903801
On the Eneström-Kakeya theorem and its various forms in the quaternionic setting. (English) Zbl 07898784
Distribution of roots of quasi-polynomials of neutral type and its application. II: Consensus protocol design of multi-agent systems using delayed state information. (English) Zbl 07897995
Distribution of roots of quasi-polynomials of neutral type and its application. I: Determination of the number of roots and Hurwitz stability criteria. (English) Zbl 07897782
On the weakened hypotheses-based generalizations of the Eneström-Kakeya theorem. (English) Zbl 07895571
Polynomials with integral Mahler measures. (English) Zbl 07883461
Reviewer: Toufik Zaïmi (Riyadh)
Numerical computation of the roots of Mandelbrot polynomials: an experimental analysis. (English) Zbl 1543.65067
A gap condition for the zeros and singularities of a certain class of products. (English) Zbl 1543.30042
Equilibrium problems for elastic body with a crack and thin conjugated inclusions. (Russian. English summary) Zbl 07879496
Translations and extensions of the Nicomachean identity. (English) Zbl 1543.11026
Reviewer: Takao Komatsu (Hangzhou)
Zeros of meromorphic functions of the form \(\sum_n \frac{c_n}{(z - t_n)^2}\). (English) Zbl 1541.30010
Hilbert-Poincaré series of matroid Chow rings and intersection cohomology. (English) Zbl 1540.14009
Reviewer: Mee Seong Im (Annapolis)
Formulas for \(p\)-adic \(q\)-integrals including falling-rising factorials, combinatorial sums and special numbers. (English) Zbl 1543.11106
Certain radii problems for \(\mathcal{S}^\ast(\psi)\) and special functions. (English) Zbl 1539.30006
Horadam polynomials for a new subclass of Sakaguchi-type bi-univalent functions defined by \((p,q)\)-derivative operator. (English) Zbl 1543.30039
Some bounds for zeros of a polynomial with restricted coefficients. (English) Zbl 07855529
Reviewer: Stef Graillat (Paris)
A new class of solutions to the van Dantzig problem, the Lee-Yang property, and the Riemann hypothesis. (Une nouvelle classe de solutions au probleme de van Dantzig, la propriété de Lee-Yang, et l’hypothèse de Riemann.) (English. French summary) Zbl 1540.42012
On the connectedness of multistationarity regions of small reaction networks. (English) Zbl 07852636
Smirnov and Bernstein-type inequalities, taking into account higher-order coefficients and free terms of polynomials. (English) Zbl 1543.30014
A higher-order family of simultaneous iterative methods with Neta’s correction for polynomial complex zeros. (English) Zbl 07846033
Zeros of a growing number of derivatives of random polynomials with independent roots. (English) Zbl 1543.30015
Some criteria for higher order Turán inequalities in the spirit of Mařík’s theorem. (English) Zbl 1536.05038
\(L^q\) inequalities for polynomials with restricted zeros concerning the growth. (English) Zbl 07840480
Real univariate polynomials with given signs of coefficients and simple real roots. (English) Zbl 07839551
Distributions of zeros and masses of entire and subharmonic functions with restrictions on their growth along the strip. (English. Russian original) Zbl 1543.30082
Izv. Math. 88, No. 1, 133-193 (2024); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 88, No. 1, 141-202 (2024).
On the Hankel matrices of finite rank and generalized Fibonacci sequences. (English) Zbl 07837712
Reviewer: Uğur Duran (İskenderun)
Estimation of bounds for the zeros of polynomials and regular functions of a quaternionic variable. (English) Zbl 1536.30081
Extremal problems of Turán-type involving the location of all zeros of a polynomial. (English) Zbl 1536.30015
A generalized Hermite-Biehler theorem and non-Hermitian perturbations of Jacobi matrices. (English) Zbl 1536.30011
Egerváry’s theorems for harmonic trinomials. (English) Zbl 07829364
Reviewer: Alexander Kovačec (Coimbra)
Inequalities for polynomials satisfying \(p(z) \equiv z^n p(1/z)\). (English) Zbl 07829362
Reviewer: Samyon R. Nasyrov (Kazan)
Analytic structure of the associated Legendre functions of the second kind. (English) Zbl 1535.33009
On the zero bounds of quaternionic polynomials with restricted coefficients. (English) Zbl 1535.30117
Bounds for zeros of Collatz polynomials, with necessary and sufficient strictness conditions. (English) Zbl 1535.30015
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