Results 21 to 30 of about 71 (71)
Computation of the zeros of a quaternionic polynomial using matrix methods
In a recent paper, Ishfaq Dar (2024), worked on the problem of locating the zeros of quaternion polynomials by introducing various matrix techniques.
N. A. Rather +4 more
doaj +1 more source
Background – Biofilm production by canine otitis externa (COE) pathogens and resistance development to multiple antimicrobials are commonly reported problems in veterinary practice. The use of adjuvants to disrupt biofilms may be a viable adjunctive therapy.
Bhumika F. Savaliya +3 more
wiley +1 more source
Suppose has radius of convergence R and . Suppose |z1| < |z2| < R, and T is either z2 or a neighborhood of z2. Put S = {N | σN(z1) > σN(z) for zϵT}. Two questions are asked: (a) can S be cofinite? (b) can S be infinite? This paper provides some answers to these questions. The answer to (a) is no, even if T = z2.
J. D. McCall, G. H. Fricke, W. A. Beyer
wiley +1 more source
In this article, we extend inequalities concerning the polar derivative of a polynomial to integral mean for the class of polynomials with s-fold zero at the origin and the remaining zeros inside some closed disk of radius kk for k≥1k\ge 1 and k≤1k\le 1,
Singha Nirmal Kumar, Chanam Barchand
doaj +1 more source
Hair fragility (trichorrhexis nodosa) in alopecic Pomeranian dogs
Background – Alopecia associated with hair cycle arrest (HCA, Alopecia X) is well‐recognised in Pomeranian dogs. The authors are unaware of reports of hair fragility in affected dogs. Hypothesis/Objectives – Following the observation of frequent hair shaft abnormalities in alopecic Pomeranians, we hypothesised that hair fragility events would be more ...
Erin Brennan +6 more
wiley +1 more source
Refinements of inequalities on extremal problems of polynomials
Let H(z) be a polynomial of degree n, and for any complex number α, let D α H(z) = nH(z) + (α − z)H′(z) denote the polar derivative of H(z) with respect to α.
Devi Maisnam Triveni +2 more
doaj +1 more source
Improved versions of certain Bernstein and Turán-type inequalities on polynomials
In this paper, we establish some new results on Bernstein and Turán-type inequalities for polynomials on the unit circle on the complex plane by using an improved Schwarz Lemma at the boundary recently proved by Mercer.
Laishangbam Raju +2 more
doaj +1 more source
Integral mean estimates for polynomials whose zeros are within a circle
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
doaj
The Effect of Alendronate on Osteoclastogenesis in Different Combinations of M-CSF and RANKL Growth Factors. [PDF]
Hedvičáková V +4 more
europepmc +1 more source

