Results 1 to 10 of about 287 (41)
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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Inequalities for the Polar Derivative of a Polynomial [PDF]
, 2009 In this paper we obtain new results concerning maximum modulus of the polar derivative of a polynomial with restricted zeros. Our results generalize and refine upon the results of Aziz and Shah [An integral mean estimate for polynomial, Indian J.
Bidkham, M. +2 more
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Complex variable approach to analysis of a fractional differential equation in the real line [PDF]
, 2017 The first aim of this work is to establish a Peano type existence theorem for an initial value problem involving complex fractional derivative and the second is, as a consequence of this theorem, to give a partial answer to the local existence of the ...
Şan, Müfit
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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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The inf-sup constant for the divergence on corner domains [PDF]
, 2014 The inf-sup constant for the divergence, or LBB constant, is related to the Cosserat spectrum. It has been known for a long time that on non-smooth domains the Cosserat operator has a non-trivial essential spectrum, which can be used to bound the LBB ...
Chizhonkov +29 more
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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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The fundamental theorem of algebra: A most elementary proof
, 2011 This paper shows an elementary and direct proof of the Fundamental Theorem of Algebra, via Bolzano-Weierstrass Theorem on Minima and the Binomial Formula, that avoids: any root extraction other than the one used to define the modulus function over the ...
de Oliveira, Oswaldo Rio Branco
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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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Letter to the Editor. Remarks on Some Inequalities for Polynomials [PDF]
, 2013 MSC 2010: 30A10, 30C10, 30C80, 30D15, 41A17.In the present article, I point out serious errors in a paper published in Mathematica Balkanica three years ago. These errors seem to go unnoticed because some mathematicians are applying the results stated in
Hachani, M. A.
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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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