Zeros of Polynomials
Estimated Bounds for Zeros of Polynomials from Traces of Graeffe Matrices
... The rest of the paper is organized as follows. In Section 2, we introduce the Graeffe matrix of a complex polynomial P and derive its trace from the classical Jordan normal form. In Section 3, we extend the Dandelin- ...
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ON ZEROS OF POLYNOMIALS
... Marden M, Geometry of Polynomials, Mathematical Surveys Number 3, Amer. Schmeisser, Analytic Theory of Polynomials, Oxford University[r] ...
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Zeroing on zeros of polynomials
... Because of the complexity in finding roots of higher degree polynomials, one has options of using a multitude of algorithms. Newton-Ralphsonโs [3] method is one which deals with the derivate of the polynomial and ...
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Period polynomials, derivatives of L functions, and zeros of polynomials
... The experimental evidence for Conj. 3.8 in the case of both the first and the higher deriva- tives was based on computer search. In particular, the authors used SAGE to check that the norms of all zeroes of all full ...
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A quantum search for zeros of polynomials
... Takedown If you consider content in White Rose Research Online to be in breach of UK law, please notify us by emailing [email protected] including the URL of the record and the rea[r] ...
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On the Location of Zeros of Polynomials
... Mohammad, โOn the Zeros of a Certain Class of Polynomials and Related Analytic Functions,โ Journal of Mathematical Analysis and Applications, Vol.75, 1980, pp.. Zargar, โSome Extensions [r] ...
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Zeros of Polynomials in Ring-shaped Regions
... A large number of research papers have been published so far on the location in the complex plane of some or all of the zeros of a polynomial in terms of the coefficients of the polyno[r] ...
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On the Zeros of Complex Polynomials in a Given Circle
... Abstract:- The problem of finding the number of zeros of a polynomial in a given circle is of great interest in the theory of the distribution of zeros of polynomials. In this paper we consider the ...
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Vol 4, No 11 (2013)
... Let ๐๐(๐ง๐ง) = ๐๐ 0 + ๐๐ 1 ๐ง๐ง + ๐๐ 2 ๐ง๐ง 2 + ๐๐ 3 ๐ง๐ง 3 + โฆโฆ + ๐๐ ๐๐โ1 ๐ง๐ง ๐๐โ1 + ๐๐ ๐๐ ๐ง๐ง ๐๐ ; |๐๐ ๐๐ | โ 0 be a polynomial of degree n. Datt and Govil [2]; Govil and Rahaman [5]; Marden [9]; Mohammad [10]; Chattopadhyay, ...
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Approximate Closed Form Formulas for the Zeros of the Bessel Polynomials
... the zeros of polynomials satisfying second-order di๏ฌerential equations 15โ17, the second is a simple curve fitting of numerical data, and the third is the known fact that the points of well-defined curves ...
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Abstract: In this paper we find bounds for the zeros of a class of polynomials whose
... Introduction and Statement of Results The following result, known as the Enestrom-Kakeya Theorem [5] , is well-known in the theory of distribution of zeros of polynomials: n.. In the lit[r] ...
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Zeros and value sharing results for q-shifts di๏ฌerence and di๏ฌerential polynomials
... difference polynomials of meromorphic functions with zero order, that extends the classical Hayman results on the zeros of differential poly- nomials to q-shift difference ...difference polynomials ...
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Schur Type Inequalities for Complex Polynomials with no Zeros in the Unit Disk
... suming any positivity property at all), with the only assumption of nonvanishing in D. This is somewhat unexpected, as an example of Halยดasz already established that as regards Bernstein- and Markov-type inequalities, ...
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Lower and upper bounds of number of zeros of random algebraic polynomials
... Therefore number of roots and the measure of the exceptional set in the set [ ๏ฅ, ๏ญ๏ฅ ] are twice the corresponding value can be considered and now show that this upper bound is same as in [0, 1]. There are many known ...
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STRONG RESULT & ASYMPTOTIC ESTIMATES OF REAL ZEROS OF RANDOM POLYNOMIALS
... Keywords and phrases: Independent, identically distributed random variables, random algebraic polynomial, random algebraic equation, real roots, domain of attraction of the n[r] ...
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On Some Extensions of Enestrom-Kakeya Theorem
... Gulzar, Bounds for the Zeros and Extremal Properties of Polynomials, Ph.D thesis, Department of Mathematics, University of Kashmir, Srinagar, 2012.. Rahman, On the Location of Z[r] ...
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Zeros and value sharing results for q-shifts difference and differential polynomials
... Picard exceptional value, a transcendental meromorphic functions has at most two picard exceptional values. The classical problem of value distributions of differential polynomials is Hayman conjecture [1],i.e. if ...
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Integral mean estimates for polynomials whose zeros are within a circle
... Yadav: Department of Mathematics, Faculty of Natural Sciences, Jamia Millia Islamia, New Delhi-110025, India.[r] ...
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Integral mean estimates for polynomials whose zeros are within a circle
... Integral mean estimates for polynomials whose zeros are within a circle Gulshan Singh1* and WM Shah2 * Correspondence: [email protected] 1 Bharathiar University, Coimbatore, T[r] ...
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On an operator preserving inequalities between polynomials
... the result follows from Theorem 2.6. We assume that P (z) has all its zeros in |z| > k where k โค 1 so that m > 0. Now for every ฮด with |ฮด| < 1, it follows by Roucheโs theorem h(z) = P (z) โ ฮดm does not ...
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