Results 41 to 50 of about 318 (145)
Differential Subordination and Superordination for a Generalized Differential Operator Involving Mittag-Leffler Function [PDF]
Kragujevac Journal of Mathematics, 2021 Abstract. Owning to the importance and great interest of linear operators, a generalisation of linear derivative operator He m δ,p(α, β, a1, b1)f(z) is newly introduced in this study. The main objective of this paper is to investigate various subordination and superordination related to the aforementioned generalised linear derivative operator ...
SUHILA ELHADDAD, MASLINA DARUS
openaire +1 more source
On applications of differential subordination and superordination
Tamkang Journal of Mathematics, 2008 In the present investigation we obtain the sufficient conditions for normalized analytic functions $f$ to satisfy$$ q_1 \prec \frac{f^2}{z^2f'} \prec q_2, $$where $ q_1 $ and $ q_2 $ are univalent functions with $ q_1(0)= q_2(0)=1 $. Also we obtain the sandwich results involving Carlson-Shaffer linear operator, $ S\u{a}l\u{a} $gean derivative and ...
N. Marikkannan, C. Ganesamoorthy
openaire +2 more sources
Sandwich-type results regarding Riemann-Liouville fractional integral of q-hypergeometric function
Demonstratio Mathematica, 2023 The study presented in this article involves q-calculus connected to fractional calculus applied in the univalent functions theory. Riemann-Liouville fractional integral of q-hypergeometric function is defined here, and investigations are conducted using
Alb Lupaş Alina, Oros Georgia Irina
doaj +1 more source
Differential subordination, superordination results associated with Pascal distribution
AIMS Mathematics, 2023 <abstract><p>This paper aims to study differential subordination and superordination preserving properties for certain analytic univalent functions with in the open unit disk. In the present investigation, we obtain some subordination and superordination results involving Pascal distribution series for certain normalized analytic functions ...
K. Saritha, K. Thilagavathi
openaire +2 more sources
DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS
Bulletin of the Korean Mathematical Society, 2016 8 ...
Al-Kharsani, Huda A. +2 more
openaire +3 more sources
Differential superordination defined by Ruscheweyh derivative
Hokkaido Mathematical Journal, 2007 Suppose that \(f\), \(q\) are analytic in the unit disk, \(n\) is a nonnegative integer and \(D^nf\) is defined by the convolution \(D^n f(z)= f(z)* z(1-z)^{-n-1}\). Following the ideas of \textit{S. S. Miller} and \textit{P. T. Mocanu} [Complex Variables, Theory Appl. 48, No.
OROS, Gh., OROS, Georgia Irina
openaire +2 more sources
Wasit Journal for Pure Sciences, 2023 : In the current paper, we obtain sandwich theorems for univalent functions by using some of the finding of Third-order differential subordination and superordination for univalent functions defined by a new operator .
Ali Salamah
doaj +1 more source
Axioms, 2023 In this paper, the author combines the geometric theory of analytic function regarding differential superordination and subordination with fuzzy theory for the convolution product of Ruscheweyh derivative and multiplier transformation.
Alina Alb Lupaş
doaj +1 more source
Fractal and Fractional, 2021 The current study acts on the notion of quantum calculus together with a symmetric differential operator joining a special class of meromorphic multivalent functions in the puncher unit disk.
Ibtisam Aldawish, Rabha W. Ibrahim
doaj +1 more source
Fractional differential superordination
Tamkang Journal of Mathematics, 2014 The notion of differential superordination was introduced by S.S. Miller and P.T. Mocanu as a dual concept of differential subordination. Recently, in Tamkang J. Math.[7], the author have introduced the notion of fractional differential subordination.
openaire +2 more sources