Integral means and Yamashita's conjecture associated with the Janowski type \((j, k)\)-symmetric starlike functions

DOI10.1007/s13398-022-01310-9zbMath1496.30013OpenAlexW4291173355WikidataQ113899225 ScholiaQ113899225MaRDI QIDQ2081216

A. Prajapati, Priyabrat Gochhayat, Hari M. Srivastava

Publication date: 12 October 2022

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://doi.org/10.1007/s13398-022-01310-9

zbMATH Keywords

Gaussian hypergeometric functionintegral meanslogarithmic coefficientsarea problemprinciple of subordination\((j, k)\)-symmetric functionsDirichlet finite formulaParseval-Gutzmer formula

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Generalized hypergeometric series, ({}_pF_q) (33C20) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (1)

Some subclasses of \(p\)-valent \(\gamma\)-uniformly type \(q\)-starlike and \(q\)-convex functions defined by using a certain generalized \(q\)-Bernardi integral operator

Cites Work

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• Maximal area integral problem for certain class of univalent analytic functions
• A proof of Yamashita's conjecture on area integral
• A few results on generalized Janowski type functions associated with \((j,k)\)-symmetrical functions
• On the coefficients of close-to-convex functions
• On a class of bounded starlike functions
• On the geometry of Hele-Shaw flows with small surface tension
• Univalent functions in two-dimensional free boundary problems
• A subclass of \(\alpha \)-convex functions with respect to \((2j,k)\)-symmetric conjugate points
• On integral means of star-like functions
• Area problem for univalent functions in the unit disk with quasiconformal extension to the plane
• On maximal area integral problem for analytic functions in the starlike family
• Über $k$-fach symmetrische, sternförmige schlichte Abbildungen des Einheitskreises
• On Meromorphic Schlicht Functions
• On Starlike and Convex Schlicht Functions
• INTEGRAL MEANS AND DIRICHLET INTEGRAL FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS
• Area and length maxima for univalent functions
• K-Fold symmetric starlike univalent functions
• Coefficients of Symmetric Functions of Bounded Boundary Rotation
• A contribution to univalent functions
• LOGARITHMIC COEFFICIENTS PROBLEMS IN FAMILIES RELATED TO STARLIKE AND CONVEX FUNCTIONS
• Integral means and Dirichlet integral for analytic functions
• Some extremal problems for certain families of analytic functions I
• A family of meromorphically multivalent functions which are starlike with respect to k-symmetric points
• On the problem of Gromova and Vasil'ev on integral means, and Yamashita's conjecture for spirallike functions
• Univalent α-Spiral Functions
• Functions Starlike and Convex of Order α
• On the Coefficients of Subordinate Functions
• On the theory of univalent functions

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