A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk
DOI10.2478/AUPCSM-2020-0014zbMath1524.30053OpenAlexW3094386627MaRDI QIDQ6160715
Publication date: 26 June 2023
Published in: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2478/aupcsm-2020-0014
analytic functionsfractional calculuscomplex planefractional derivative operatornormalized functionsunit open diskdifferential inequalities in the complex planeTaylor-Mclaurin series expansionthe Tremblay operator
Fractional derivatives and integrals (26A33) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Maximum principle, Schwarz's lemma, Lindelöf principle, analogues and generalizations; subordination (30C80) Mittag-Leffler functions and generalizations (33E12) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities for trigonometric functions and polynomials (26D05) Coefficient problems for univalent and multivalent functions of one complex variable (30C50) Nonstandard analysis (26E35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Boundary fractional differential equation in a complex domain
- A certain subclass of analytic functions involving operators of fractional calculus
- On properties of non-Carathéodory functions
- Second order differential inequalities in the complex plane
- Some families of multivalently analytic functions with negative coefficients
- A note on some relations between certain inequalities and normalized analytic functions
- Fractional calculus and certain starlike functions with negative coefficients
- Some results concerning the Tremblay operator and some of its applications to certain analytic functions
- Comprehensive inequalities and equations specified by the Mittag-Leffler functions and fractional calculus in the complex plane
- A novel subclass of analytic functions specified by a family of fractional derivatives in the complex domain
- Certain complex equations and some of their implications in relation with normalized analytic functions
- Functions Starlike and Convex of Order α
This page was built for publication: A note on some elementary properties and applications of certain operators to certain functions analytic in the unit disk
