A CLASS OF HARMONIC (𝑝, 𝑞)-STARLIKE FUNCTIONS INVOLVING A GENERALIZED (𝑝, 𝑞)-BERNARDI INTEGRAL OPERATOR

DOI10.15393/j3.art.2023.12850zbMath1527.31001OpenAlexW4380997419MaRDI QIDQ6058639

Darus, Maslina, Sarem H. Hadi

Publication date: 1 November 2023

Published in: Issues of Analysis (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/pa373

zbMATH Keywords

extreme pointsdistortion\(q\)-calculusclass of harmonic functions

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Cites Work

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• Functional inequalities for several classes of \(q\)-starlike and \(q\)-convex type analytic and multivalent functions using a generalized bernardi integral operator
• Certain new class of harmonic functions involving quantum calculus
• Subclass of multivalent harmonic functions defined by wright generalized hypergeometric functions
• Some subclasses of \(p\)-valent \(\gamma\)-uniformly type \(q\)-starlike and \(q\)-convex functions defined by using a certain generalized \(q\)-Bernardi integral operator
• A generalization of starlike functions
• Certain subclasses of multivalent analytic functions involving the generalized Srivastava–Attiya operator
• Construction of a Certain Class of Harmonic Close-To-Convex Functions Associated with the Alexander Integral Transform
• Harmonic univalent functions
• Subclasses of harmonic univalent functions associated with generalized Ruscheweyh operator
• $(p,q)$-Chebyshev polynomials for the families of biunivalent function associating a new integral operator with $(p,q)$-Hurwitz zeta function
• On the non-vanishing of the Jacobian in certain one-to-one mappings

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