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)
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