Results 31 to 40 of about 196 (100)
On the zeros and critical points of a rational map
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 4, Page 243-246, 2001., 2001 Let f : ℙ1 → ℙ1 be a rational map of degree d. It is well known that f has d zeros and 2d − 2 critical points counted with multiplicities. In this note, we explain how those zeros and those critical points are related.
Xavier Buff
wiley +1 more source
Elliptic equations in divergence form, geometric critical points of solutions and Stekloff eigenfunctions [PDF]
, 1994 . The Stekloff eigenvalue problem (1.1) has a ’ countable number of eigenvalues (Pn}n = 1,2..... each of finite multiplicity. In this paper the authors give an upper estimate, in terms of the integer n, of the multiplicity of Pn, and the number of ...
ALESSANDRINI, GIOVANNI +4 more
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Central Limit Theorem for the number of real roots of Kostlan Shub Smale random polynomial systems
, 2018 We obtain a Central Limit Theorem for the normalized number of real roots of a square Kostlan-Shub-Smale random polynomial system of any size as the degree goes to infinity. A study of the asymptotic variance of the number of roots is needed, this result
León, José, Rafael +3 more
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Bounds for the zeros of polynomials from numerical radius inequalities
, 2017 We apply matrix norms and recent numerical radius inequalities to a certain Frobenius companion matrix to derive several bounds for the zeros of polynomials.
K. Shebrawi
semanticscholar +1 more source
On the location of the zeros of analytic functions
International Journal of Mathematics and Mathematical Sciences, Volume 13, Issue 1, Page 67-72, 1990., 1990 In this paper we obtain regions containing all the zeros of a class of analytic functions whose coefficients are subject to certain conditions. Our results sharpen some of the results known in this direction. Also we give some examples to show that in some cases the regions obtained by our results are considerably sharper than the regions obtained by ...
K. K. Dewan, N. K. Govil
wiley +1 more source
LOCATION OF ZEROS OF A CLASS OF POLYNOMIALS
, 2017 <p>In this paper we consider a certain class of polynomials with certain conditions on their coefficients and find regions containing all or some of their zeros.</p> <p><strong>Mathematics Subject Classification:</strong>
M.H. Gulzar*
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Some theorems on generalized polars with arbitrary weight
International Journal of Mathematics and Mathematical Sciences, Volume 10, Issue 4, Page 757-776, 1987., 1987 The present paper, which is a continuation of our earlier work in Annali di Mathematica [1] and Journal Math. Seminar [2] (EγEUθPIA), University of Athens, Greece, deals with the problem of determining sufficiency conditions for the nonvanishing of generalized polars (with a vanishing or nonvanishing weight) of the product of abstract homogeneous ...
Neyamat Zaheer, Aijaz A. Khan
wiley +1 more source
On an integral inequality of M.A. Malik
, 2017 In this paper, we shall prove some Lr inequalities for the polar derivative of a polynomial having zeros in |z| k 1 and thereby obtain generalizations and refinements of an integral inequality due to Malik [16].
A. Mir, A. Wani
semanticscholar +1 more source
Zeros of smallest modulus of functions resembling exp(z)
International Journal of Mathematics and Mathematical Sciences, Volume 5, Issue 3, Page 417-439, 1982., 1982 To determine (in various senses) the zeros of the Laplace transform of a signed mass distribution is of great importance for many problems in classical analysis and number theory. For example, if the mass consists of finitely many atoms, the transform is an exponential polynomial. This survey studies what is known when the distribution is a probability
Kenneth B. Stolarsky
wiley +1 more source
Electrostatic models for zeros of polynomials: Old, new, and some open problems [PDF]
, 2007 15 pages, 2 figures.-- MSC2000 codes: Primary, 30C15; Secondary, 34C10; 33C45; 42C05; 82B23.MR#: MR2345246 (2008h:33017)Zbl#: Zbl 1131.30002We give a survey concerning both very classical and recent results on the electrostatic interpretation of the ...
Marcellán, Francisco +7 more
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