Applications of a certain \(q\)-integral operator to the subclasses of analytic and bi-univalent functions
From MaRDI portal
Publication:2131512
DOI10.3934/math.2021061zbMath1484.30012OpenAlexW3097857285MaRDI QIDQ2131512
Publication date: 26 April 2022
Published in: AIMS Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/math.2021061
analytic functionsunivalent functionsbi-univalent functions\(q\)-integral operator\(q\)-derivative (or \(q\)-difference) operatorTaylor-Maclaurin initial coefficientsTaylor-Maclaurin series expansions
(q)-calculus and related topics (05A30) Binomial coefficients; factorials; (q)-identities (11B65) Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Linear operators on function spaces (general) (47B38)
Related Items
A comprehensive family of bi-univalent functions defined by \((m, n)\)-Lucas polynomials ⋮ Applications of \(q\)-difference symmetric operator in harmonic univalent functions ⋮ Hankel and Toeplitz determinant for a subclass of multivalent \(q\)-starlike functions of order \(\alpha\) ⋮ Inclusion relations of \(q\)-Bessel functions associated with generalized conic domain ⋮ A certain \(q\)-Ruscheweyh type derivative operator and its applications involving multivalent functions ⋮ Higher-order \(q\)-derivatives and their applications to subclasses of multivalent Janowski type \(q\)-starlike functions ⋮ Coefficient bounds for certain families of bi-univalent functions defined by Wanas operator ⋮ A new characterization of \((P, Q)\)-Lucas polynomial coefficients of the bi-univalent function class associated with \(q\)-analogue of Noor integral operator ⋮ Fekete-Szegö inequality for bi-univalent functions subordinate to Horadam polynomials ⋮ Coefficient bounds for certain two subclasses of bi-univalent functions ⋮ $(p,q)$-Chebyshev polynomials for the families of biunivalent function associating a new integral operator with $(p,q)$-Hurwitz zeta function ⋮ Some subclasses of \(p\)-valent \(\gamma\)-uniformly type \(q\)-starlike and \(q\)-convex functions defined by using a certain generalized \(q\)-Bernardi integral operator ⋮ Horadam polynomials for a new family of \(\lambda\)-pseudo bi-univalent functions associated with Sakaguchi type functions ⋮ Coefficient estimates for families of bi-univalent functions defined by Ruscheweyh derivative operator ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A certain general subclass of analytic and bi-univalent functions and associated coefficient estimate problems
- On a new subclass of bi-univalent functions
- Coefficient estimates for a certain subclass of analytic and bi-univalent functions
- Integral operators in non-standard function spaces. Volume 1: Variable exponent Lebesgue and amalgam spaces
- Coefficient inequality for \(q\)-starlike functions
- Certain subclasses of analytic and bi-univalent functions
- The Fefferman-Stein type inequalities for strong fractional maximal operators
- Coefficient inequalities for \(q\)-starlike functions associated with the Janowski functions
- The Faber polynomial expansion method and the Taylor-Maclaurin coefficient estimates of bi-close-to-convex functions connected with the \(q\)-convolution
- Partial sums of generalized \(q\)-Mittag-Leffler functions
- Faber polynomial coefficients for meromorphic bi-subordinate functions of complex order
- A generalized conic domain and its applications to certain subclasses of analytic functions
- Some general classes of \(q\)-starlike functions associated with the Janowski functions
- Some applications of a \(q\)-analogue of the Ruscheweyh type operator for multivalent functions
- Fekete-Szegö inequality for classes of \((p, q)\)-starlike and \((p, q)\)-convex functions
- Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions
- Geometric properties of certain classes of analytic functions associated with a \(q\)-integral operator
- On the Fekete-Szegő problem for classes of bi-univalent functions
- Analytic Number Theory, Approximation Theory, and Special Functions
- Certain subclasses of bi-univalent functions satisfying subordinate conditions
- An integral operator associated with the Hurwitz–Lerch Zeta function and differential subordination
- A generalization of starlike functions
- Faber polynomial coefficients for generalized bi-subordinate functions of complex order
- Initial coefficients for a subclass of bi-univalent functions defined by Salagean differential operator
- Some applications of higher-order derivatives involving certain subclass of analytic and multivalent functions
- Some properties of analytic functions associated with fractional q-calculus operators
- The Faber polynomial expansion method and its application to the general coefficient problem for some subclasses of bi-univalent functions associated with a certain q-integral operator
- Coefficient Estimates for Some Subclasses of Analytic and Bi-Univalent Functions Associated with Conic Domain
- Coefficient estimates for a general subclass of analytic and bi-univalent functions
- Coefficient bounds for a certain class of analytic and bi-univalent functions
- Some general families of q-starlike functions associated with the Janowski functions
- Certain q-difference operators and their applications to the subclass of meromorphic q-starlike functions
- Coefficient estimates for a subclass of analytic and bi-univalent functions