Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The order of convexity for a general integral operator
Authors: Laura Stanciu, Daniel Breaz
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Abstract
In this paper, we consider the classes of the univalent functions denoted by $\mathcal{SH}(\beta),$ $\mathcal{SP}$ and $\mathcal{SP}(\alpha,\beta).$ On these classes we study the order of convexity of the integral operator $\int_0^z\left(t{e}^{f(t)}\right)^{\gamma}dt,$ where the function $f$ belongs to these classes.Laura Stanciu
University of Piteşti
Department of Mathematics
Argeş, România.
E-mail: Daniel Breaz
"1 Decembrie 1918" University of Alba Iulia
Department of Mathematics
Alba Iulia, Str. N. Iorga,
510000, No.11-13, România.
E-mail:
University of Piteşti
Department of Mathematics
Argeş, România.
E-mail: Daniel Breaz
"1 Decembrie 1918" University of Alba Iulia
Department of Mathematics
Alba Iulia, Str. N. Iorga,
510000, No.11-13, România.
E-mail:
Fulltext
– 0.09 Mb
Contents
- New developments based on the mathematical legacy of C. S. Sibirschi
- Asymptotic Stability of Infinite-Dimensional Nonautonomous Dynamical Systems
- Applications of algebraic methods in solving the center-focus problem
- Geometric configurations of singularities for quadratic differential systems with total finite multiplicity lower than 2
- The order of convexity for a general integral operator
- Semilattice decompositions of trioids
