Results 11 to 20 of about 73 (72)
Integral mean estimates for polynomials whose zeros are within a circle
Journal of Inequalities and Applications, 2011 Let P(z) be a polynomial of degree n having all its zeros in |z| ≤ K ≤ 1, then for each δ > 0, p > 1, q > 1 with 1 p + 1 q = 1 , Aziz and Ahmad (Glas Mat Ser III 31:229-237, 1996) proved that n ∫ ...
Shah WM, Singh Gulshan
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Veterinary Dermatology, Volume 34, Issue 6, Page 489-494, December 2023., 2023 Background – Dilute sodium hypochlorite (bleach) baths at 0.005% concentration twice weekly have been shown to markedly reduce the severity of atopic dermatitis in children, yet no tolerability and efficacy data are available for this treatment in dogs.
Frane Banovic +4 more
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Veterinary Dermatology, Volume 33, Issue 1, Page 17-e6, February 2022., 2022 Background – Because of the increased incidence of multidrug‐resistant (MDR) bacteria, the use of disinfectants over antibiotics has been encouraged. However, the interactions between disinfectants and host local immunity are poorly understood. Objective – To assess the effects of chlorhexidine digluconate (Chx), with and without selected host defence ...
Domenico Santoro +3 more
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Fluctuations for zeros of Gaussian Taylor series
Journal of the London Mathematical Society, Volume 104, Issue 3, Page 1172-1203, October 2021., 2021 Abstract We study fluctuations in the number of zeros of random analytic functions given by a Taylor series whose coefficients are independent complex Gaussians. When the functions are entire, we find sharp bounds for the asymptotic growth rate of the variance of the number of zeros in large disks centered at the origin.
Avner Kiro, Alon Nishry
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Cosine polynomials with few zeros
Bulletin of the London Mathematical Society, Volume 53, Issue 3, Page 877-892, June 2021., 2021 Abstract In a celebrated paper, Borwein, Erdélyi, Ferguson and Lockhart constructed cosine polynomials of the form fA(x)=∑a∈Acos(ax),with A⊆N, |A|=n and as few as n5/6+o(1) zeros in [0,2π], thereby disproving an old conjecture of Littlewood. Here we give a sharp analysis of their constructions and, as a result, prove that there exist examples with as ...
Tomas Juškevičius, Julian Sahasrabudhe
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, 2020 The main purpose of this investigation is to specify an extensive relation between the hypergeometric functions and the hypergeometric equations in the complex plane and then to point various implications of our main result, conclusion and also ...
IRMAK, Hüseyin
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On Fibonacci-type polynomial recurrences of order two and the accumulation points of their set of zeros [PDF]
, 2018 We identify the accumulation points of the zero set of the polynomial family Gn+1(z) := zGn(z) + Gn−1(z), n 2 N, generated from complex polynomial seeds G0,G1.
Batra, Prashant
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A refinement of an inequality due to Ankeny and Rivlin
, 2020 Let $p(z)= \sum_{\nu =0}^n a_\nu z^\nu$ be a polynomial of degree $n$, $ M(p,R):= \max_{|z|=R \ge 0} |p(z)|,$ and $M(p,1):=M(p)$. Then by well-known result due to Ankeny and Rivlin \cite{Ankeny}, we have M(p.R)≤(Rn+12)M(p), R≥1. In this paper, we sharpen
TRIPATHI, Dinesh, Dinesh Tripathi
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Veterinary Dermatology, Volume 27, Issue 5, Page 391-e98, October 2016., 2016 Background– Pseudomonas aeruginosa (PA) may cause suppurative otitis externa with severe inflammation and ulceration in dogs. Multidrug resistance is commonly reported for this organism, creating a difficult therapeutic challenge. Objective– The aim of this study was to evaluate the in vitro antimicrobial activity of a gel containing 0.5 µg/mL of ...
Giovanni Ghibaudo +6 more
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Zero distribution of sequences of classical orthogonal polynomials
Abstract and Applied Analysis, Volume 2003, Issue 17, Page 985-993, 2003., 2003 We obtain the zero distribution of sequences of classical orthogonal polynomials associated with Jacobi, Laguerre, and Hermite weights. We show that the limit measure is the extremal measure associated with the corresponding weight.
Plamen Simeonov
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