Fekete-Szegö inequality for classes of \((p, q)\)-starlike and \((p, q)\)-convex functions

DOI10.1007/s13398-019-00713-5zbMath1427.30032arXiv1912.05298OpenAlexW2963397829MaRDI QIDQ2331722

Mohammed H. A. AbuJarad, Eman S. A. AbuJarad, Gautam Srivastava, Nusrat Raza, Hari M. Srivastava

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/1912.05298

zbMATH Keywords

Fekete-Szegő inequality\((p,q)\)-convex functions\((p,q)\)-star-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)

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Cites Work

• On Kantorovich modification of \((p,q) \)-Baskakov operators
• Coefficient inequality for \(q\)-starlike functions
• Fekete-Szegő problem for starlike and convex functions of complex order
• On the fundamental theorem of \((p,q)\)-calculus and some \((p,q)\)-Taylor formulas
• A certain subclass of meromorphically \(q\)-starlike functions associated with the Janowski functions
• Some general classes of \(q\)-starlike functions associated with the Janowski functions
• Geometric properties of certain classes of analytic functions associated with a \(q\)-integral operator
• Some approximation properties of \((p,q)\)-Bernstein operators
• Coefficient estimates of new classes of q-starlike and q-convex functions of complex order
• The Fekete-Szegö functional problems for some subclasses of m-fold symmetric bi-univalent functions
• The fekete-szegö-problem for a subclass of close-to-convex functions
• ON GENERALIZED OSCILLATOR ALGEBRAS AND THEIR ASSOCIATED COHERENT STATES
• A generalization of starlike functions
• A (p, q)-oscillator realization of two-parameter quantum algebras
• FEKETE-SZEGO INEQUALITIES FOR ¨ Q− STARLIKE AND Q− CONVEX FUNCTIONS
• Convex and Starlike Univalent Functions
• On the Fekete-Szegö problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

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