Results 21 to 30 of about 73 (72)
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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Pairs of paths and critical points
International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 3, Page 189-192, 2001., 2001 Two sufficient conditions are presented, in terms of the values taken by a holomorphic function f(z) on a pair of smooth paths intersecting at a point z0 in its domain, implying that f′(z0) = 0.
Florin Caragiu, Ioana Caragiu
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Integral mean estimates for polynomials whose zeros are within a circle
International Journal of Mathematics and Mathematical Sciences, Volume 28, Issue 4, Page 231-235, 2001., 2001 Let p(z) be a polynomial of degree n having all its zeros in |z| ≤ k; k ≤ 1, then for each r > 0, p > 1, q > 1 with p−1 + q−1 = 1, Aziz and Ahemad (1996) recently proved that n{∫02π|p(eiθ)|rdθ} 1/r≤{∫02π|1+keiθ|prdθ} 1/pr{∫02π|p′(eiθ)|qrdθ} 1/qr. In this paper, we extend the above inequality to the class of polynomials p(z)=anzn+∑v=μnan−vzn−v;1≤μ≤n ...
K. K. Dewan, Abdullah Mir, R. S. Yadav
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The number of connected components of certain real algebraic curves
International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 11, Page 693-701, 2001., 2001 For an integer n ≥ 2, let p(z)=∏k=1n(z−αk) and q(z)=∏k=1n(z−βk), where αk, βk are real. We find the number of connected components of the real algebraic curve {(x, y) ∈ ℝ2 : |p(x + iy)| − |q(x + iy)| = 0} for some αk and βk. Moreover, in these cases, we show that each connected component contains zeros of p(z) + q(z), and we investigate the locus of ...
Seon-Hong Kim
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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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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
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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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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
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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
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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
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