Results 1 to 10 of about 71 (71)
Demonstratio Mathematica, 2023 The contribution of fractional calculus in the development of different areas of research is well known. This article presents investigations involving fractional calculus in the study of analytic functions. Riemann-Liouville fractional integral is known
Alb Lupaş Alina, Acu Mugur
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On partial sums of normalized Mittag-Leffler functions
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017 This article deals with the ratio of normalized Mittag-Leffler function Eα,β(z) and its sequence of partial sums (Eα,β)m(z). Several examples which illustrate the validity of our results are also given.
Răducanu Dorina
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An inequality for the Selberg zeta-function, associated to the compact Riemann surface
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We consider the absolute values of the Selberg zeta-function, associated to the compact Riemann surface, at places symmetric with respect to the line ℛ(s) = 1/2. We prove an inequality for the Selberg zeta-function, extending the result of R.
Belovas Igoris
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Some inequalities for rational function with prescribed poles and restricted zeros
Demonstratio MathematicaIn this article, we first prove some auxiliary results in the form of lemmas using an improved Schwarz lemma at the boundary recently proved by Mercer. Furthermore, we establish some new inequalities for rational functions on the unit disk in the complex
Soraisam Robinson +2 more
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Sharper upper bounds on maximum modulus for rational functions
Demonstratio MathematicaWe study upper bounds for rational functions r(z)=p(z)w(z) $r\left(z\right)=\frac{p\left(z\right)}{w\left(z\right)}$ , where w(z)=∏j=1n(z−λj),|λj|>1, $w\left(z\right)={\prod }_{j=1}^{n}\left(z-{\lambda }_{j}\right), \vert {\lambda }_{j}\vert { >}1,$ and
Thoudam Ranaranjan +2 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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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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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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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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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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