Results 31 to 40 of about 86 (85)
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
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Computation of the zeros of a quaternionic polynomial using matrix methods
Arab Journal of Basic and Applied SciencesIn 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
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Some operators of fractional calculus and their applications regarding various complex functions analytic in certain domains [PDF]
In this academic research note, some familiar operators prearranged by fractional-order calculus will first be introduced and various characteristic properties of those operators will next be propounded.
IRMAK, Hüseyin
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Hair fragility (trichorrhexis nodosa) in alopecic Pomeranian dogs
Veterinary Dermatology, Volume 36, Issue 1, Page 64-73, February 2025.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
Open MathematicsIn 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
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Series in Mittag-Leffler Functions: Inequalities and Convergent Theorems [PDF]
, 2010 MSC 2010: 30A10, 30B10, 30B30, 30B50, 30D15, 33E12In studying the behaviour of series, defined by means of the Mittag-Leffler functions, on the boundary of its domain of convergence in the complex plane, we prove Cauchy-Hadamard, Abel, Tauber and ...
Paneva-Konovska, Jordanka
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Refinements of inequalities on extremal problems of polynomials
Open MathematicsLet 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
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, 2022 The main objective of this comprehensive research note is to reacquaint certain necessary information with respect to various type operators designated by the fractional-order calculus in certain domains of the complex plane, then to reveal various ...
Teslime Hazal YILDIZ; C¸ankırı Provincial Directorate of National Education, Turkish Ministry of National Education, TR 18000, C¸ ankırı, +1 more
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Improved versions of certain Bernstein and Turán-type inequalities on polynomials
Open MathematicsIn 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
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Inequalities and Asymptotic Formulae for the Three Parametric Mittag-Leffler Functions [PDF]
, 2012 MSC 2010: 33E12, 30A10, 30D15, 30E15We consider some families of 3-index generalizations of the classical Mittag-Le²er functions and study the behaviour of these functions in domains of the complex plane. First, some inequalities in the complex plane and
Paneva-Konovska, Jordanka
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