Results 51 to 60 of about 196 (100)
Notes on Erdös-Lax and Turán-type polynomial inequalities
Demonstratio MathematicaIn this study, we investigate several well-established Erdös-Lax and Turán-type inequalities that connect the sup-norms of a univariate polynomial with complex coefficients and its ordinary derivative in the complex plane to those concerning the polar ...
Singh Mayanglambam Singhajit +1 more
doaj +1 more source
Smale's Conjecture on Mean Values of Polynomials and Electrostatics [PDF]
, 2007 2000 Mathematics Subject Classification: Primary 30C10, 30C15, 31B35.A challenging conjecture of Stephen Smale on geometry of polynomials is under discussion. We consider an interpretation which turns out to be an interesting problem on equilibrium of an
Dimitrov, Dimitar
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A generalized inequality for the polar derivative of a polynomial
, 2013 In this paper, we extend a result recently proved by Liman et al. (Complex Anal. Oper. Theory 6:1199-1209, 2012. doi:10.1007/s11785-010-0120-3) to the polar derivative of a polynomial and thereby obtain some more general results for polynomials with ...
Gulshan Singh, W. Shah, A. Liman
semanticscholar +1 more source
Unified Bernstein and Bleimann-Butzer-Hahn basis and its properties
, 2013 In this paper we introduce the unification of Bernstein and Bleimann-Butzer-Hahn basis via the generating function. We give the representation of this unified family in terms of Apostol-type polynomials and Stirling numbers of the second kind.
M. Özarslan, M. Bozer
semanticscholar +1 more source
On the Distribution of Zeros of Polynomials and Analytic Functions
, 2013 This paper presents several results on the distribution of zeros of polynomials and analytic functions. The results of this paper include some existing ones as special cases.
Y. Choo, Sejong Chungnam
semanticscholar +1 more source
Integrating serum microRNAs and electronic health records improved the diagnosis of tuberculosis. [PDF]
J Clin Lab Anal, 2021 Gao SH +8 more
europepmc +1 more source
On Some of Professor Peter Rusev's Contributions
, 2012 MSC 2010: 33-00, 33C45, 33C52, 30C15, 30D20, 32A17, 32H02, 44A05The 6th International Conference "Transform Methods and Special Functions' 2011", 20 - 23 October 2011 was dedicated to the 80th anniversary of Professor Peter Rusev, as one of the founders ...
Kiryakova, Virginia
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, 2007 Let N (p, k, r, n) be a trajectory of roots of the trinomial equation z n = αz k + (1 − α), such that z = ρe iθ is a complex variable, n, k, p and r are nonzero integers verifying some conditions and α is a real number larger than one. The trinomial arcs
Kaoutar Lamrini Uahabi, Mohammed Zaoui
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, 2009 The main purpose of the present note is to study the family of trinomial curves Q (p, k, r, n) which is one of the solutions of the trinomial equation z n = αz k + (1 − α) with −∞ < α < 0.
Kaoutar Lamrini Uahabi
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On The Order Of Convergence Of A Determinantal Family Of Root-Finding Methods
, 1997 For each natural number m greater than one, and each natural number k less than or equal to m, there exists a root-finding iteration function, defined as the ratio of two determinants that depend on the first m \Gamma k derivatives of the given function,
Bahman Kalantari
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