On some applications of the Dziok-Srivastava operator

DOI10.1016/J.AMC.2008.01.013zbMath1158.30313OpenAlexW1993569810MaRDI QIDQ945315

Janusz Sokół

Publication date: 12 September 2008

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2008.01.013

zbMATH Keywords

subordinationconvex functionsanalytic functionsstarlike functionsgeneralized hypergeometric functionsCarlson-Shaffer operatorBriot-Bouquet differential subordinationDziok-Srivastava operator

Mathematics Subject Classification ID

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)

Related Items (12)

Bounded nonlinear functional derived by the generalized Srivastava-Owa fractional differential operator ⋮ A class of analytic functions involving in the Dziok-Srivastava operator ⋮ Subclasses of spirallike multivalent functions ⋮ Applications of multivalent prestarlike functions ⋮ Criteria for univalence of the Dziok-Srivastava and the Srivastava-Wright operators in the class \(A\) ⋮ Boundary fractional differential equation in a complex domain ⋮ A new class of multivalent analytic functions defined by the Hadamard product ⋮ Classes of multivalent analytic and meromorphic functions with two fixed points ⋮ Applications of extreme points to distortion estimates ⋮ On some subfamilies of holomorphic mappings associated with symmetrical points ⋮ A class of analytic functions involving the Dziok-Raina operator ⋮ Bounds of coefficients for classes of analytic functions related to hypergeometric functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Certain properties of the Dziok--Srivastava operator
• On some applications of the Briot--Bouquet differential subordination
• Classes of analytic functions associated with the generalized hypergeometric function,
• Second order differential inequalities in the complex plane
• SOME RELATIONS INCLUDING VARIOUS LINEAR OPERATORS
• Starlike and Prestarlike Hypergeometric Functions
• Some characterization and distortion theorems involving fractional calculus, generalized hypergeometric functions, Hadamard products, linear operators, and certain subclasses of analytic functions
• Fractional integral and other linear operators associated with the gaussian hypergeometric function
• New Criteria for Univalent Functions
• Certain Subclasses of Analytic Functions Associated with the Generalized Hypergeometric Function
• Extremal problems for a family of functions with positive real part and for some related families

This page was built for publication: On some applications of the Dziok-Srivastava operator