Successive coefficients for spirallike and related functions

DOI10.1007/s13398-019-00664-xzbMath1427.30014arXiv1903.10232OpenAlexW2963614349WikidataQ128144152 ScholiaQ128144152MaRDI QIDQ2331682

Saminathan Ponnusamy, Vibhuti Arora, Swadesh Kumar Sahoo

Publication date: 30 October 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.10232

zbMATH Keywords

convex functionsclose-to-convex functionsstar-like functionsspiral-like functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Coefficient problems for univalent and multivalent functions of one complex variable (30C50)

Related Items (8)

Successive coefficients for functions in the spirallike family ⋮ Slice spirallike functions over quaternions ⋮ Successive coefficients of close-to-convex functions ⋮ ON THE DIFFERENCE OF COEFFICIENTS OF OZAKI CLOSE-TO-CONVEX FUNCTIONS ⋮ Successive coefficients of functions in classes defined by subordination ⋮ On some classes of spiral-like functions defined by the Salagean operator ⋮ Initial successive coefficients for certain classes of univalent functions ⋮ A NOTE ON SPIRALLIKE FUNCTIONS

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Extremal problems on the class of convex functions of order \(-1/2\)
• A proof of the Bieberbach conjecture
• Univalent functions \(f(z)\) for which \(zf'(z)\) is \(\alpha\)-spiral-like
• A note on successive coefficients of convex functions
• A generalization of the Bieberbach coefficient problem for univalent functions
• Univalent functions \(f(z)\) for which \(zf'(z)\) is spirallike
• On the mutual growth of neighboring coefficients of univalent functions
• Probleme aus der Funktionentheorie
• Radius of convexity of partial sums of functions in the close-to-convex family
• The coefficients of schlicht functions
• Successive Coefficients of Starlike Functions
• On a Conjecture of M.S. Robertson
• Univalence of the Integral of f ′(z)^λ
• Meromorphic functions with small Schwarzian derivative
• On the generalized Zalcman functional $\lambda a_n^2-a_{2n-1}$ in the close-to-convex family
• Schwarz-Pick Type Inequalities
• Univalent α-Spiral Functions
• On an Inequality Considered by Robertson
• An Inequality Concerning Analytic Functions with a Positive Real Part
• On Successive Coefficients of Univalent Functions

This page was built for publication: Successive coefficients for spirallike and related functions