Results 121 to 130 of about 24,583 (335)

AN EXTREMAL PROBLEM FOR UNIVALENT FUNCTIONS [PDF]

open access: yesAnalele Universităţii Constantin Brâncuşi din Târgu Jiu : Seria Economie, 2010
Let S be the class of functions f(z)=z+a2z 2 …, f(0)=0, f′(0)=1 which are regular and univalent in the unit disk |z| x the equation φ′( x)=0 does not have real roots. Since S is a compact class, there exists x .
Miodrag IOVANOV
doaj  

On Analytic Functions Involving the q-Ruscheweyeh Derivative

open access: yesFractal and Fractional, 2019
In this paper, we use concepts of q-calculus to introduce a certain type of q-difference operator, and using it define some subclasses of analytic functions.
Khalida Inayat Noor
doaj   +1 more source

Hankel determinant for a subclass of bi-univalent functions defined by using a symmetric q-derivative operator

open access: yes, 2018
In this paper, we discuss the various properties of a newly-constructed subclass of the class of normalized bi-univalent functions in the open unit disk, which is defined here by using a symmetric basic (or q-) derivative operator.
H. Srivastava   +2 more
semanticscholar   +1 more source

Atomic Scale Engineering of Multivalence‐State Palladium Photocatalyst for Transfer Hydrogenation with Water as a Proton Source

open access: yesAdvanced Materials, EarlyView.
Photocatalytic transfer hydrogenation is achieved over a multivalence‐state palladium photocatalyst, in which protons generated from photocatalytic water splitting are added to unsaturated double bonds. The operando light‐induced Electron Paramagnetic Resonance (EPR) spectroscopy confirms the synergistic action between Pd single atoms and nanoparticles,
En Zhao   +12 more
wiley   +1 more source

A class of univalent functions [PDF]

open access: yesHokkaido Mathematical Journal, 1998
Let \(A\) denote the class of normalized analytic functions in the open unit disc \(U\) of the complex plane. Let \(S^*(\beta)\) denote functions in \(A\) which are starlike of order \(\beta\) and \(S^*= S^*(0)\). In this paper, the author investigates conditions on \(f\in A\) so that \(f\in S^*(\beta)\).
openaire   +2 more sources

AI‐Driven Defect Engineering for Advanced Thermoelectric Materials

open access: yesAdvanced Materials, EarlyView.
This review presents how AI accelerates the design of defect‐tuned thermoelectric materials. By integrating machine learning with high‐throughput data and physics‐informed representations, it enables efficient prediction of thermoelectric performance from complex defect landscapes.
Chu‐Liang Fu   +9 more
wiley   +1 more source

On the properties of a class of polyharmonic functions

open access: yesMathematical Modelling and Analysis, 2013
The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
doaj   +1 more source

Univalent functions with univalent derivatives [PDF]

open access: yesBulletin of the American Mathematical Society, 1969
Shah, S. M., Trimble, S. Y.
openaire   +3 more sources

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