Results 1 to 10 of about 86 (85)
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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Theorems Regarding Starlikeness and Convexity [PDF]
, 2023 Giving the sharp version of an univalence condition means to give the final response to an open question. We prove in this paper the sharp version of a starlikeness condition. The basic tool in our study is the convolution theory.
SZÁSZ, Róbert +2 more
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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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Notes on various operators of fractional calculus and some of their implications for certain analytic functions [PDF]
, 2023 The main purpose of this note is firstly to present certain information in relation with some elementary operators created by the well-known fractional calculus, also to determine a number of applications of them for certain complex function analytic in ...
IRMAK, Hüseyin
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Various results in relation with the hypergeometric equations and the hypergeometric functions in the complex plane [PDF]
, 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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A refinement of an inequality due to Ankeny and Rivlin [PDF]
, 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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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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Generation means analysis of phytic acid and inorganic phosphorus contents in corn (Zea mays L) [PDF]
, 2014 This study reported the effects of gene action in controlling the traits with respect to the contents of phytic acid (PA) and inorganic phosphorus (InP) in corn seeds by using an analysis of six generation means (P1, P2, F1, F2, BC1, and BC2) in six ...
Nilprapruck, Phrutiya +4 more
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