CERTAIN CLASSES OF BI-UNIVALENT FUNCTIONS OF COMPLEX ORDER ASSOCIATED WITH QUASI-SUBORDINATION INVOLVING (p, q) -DERIVATIVE OPERATOR

DOI10.46793/KgJMat2004.639AMaRDI QIDQ5881389

Şahsene Altınkaya, Sibel Yalçin Karpuzoǧullari

Publication date: 9 March 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/62/13_eng.html

zbMATH Keywords

\(q\)-calculusbi-univalent functionscoefficient boundsquasi-subordination\((p, q)\)-derivative operator

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15)

Related Items

$(p,q)$-Chebyshev polynomials for the families of biunivalent function associating a new integral operator with $(p,q)$-Hurwitz zeta function

Cites Work

• On the convolution of a finite number of analytic functions involving a generalized Srivastava-Attiya operator
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• Certain subclasses of analytic functions associated with fractional $q$-calculus operators
• Some inequalities on quasi-subordinate functions
• A (p, q)-oscillator realization of two-parameter quantum algebras
• On a Coefficient Problem for Bi-Univalent Functions
• Quasi-subordination and coefficient conjectures
• Faber polynomial coefficient bounds for a subclass of bi-univalent functions
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