Second Hankel determinant for a class of analytic functions defined by fractional derivative

DOI10.1155/2008/153280zbMath1158.30308OpenAlexW1982930371WikidataQ58645415 ScholiaQ58645415MaRDI QIDQ938496

Akshaya Kumar Mishra, Priyabrat Gochhayat

Publication date: 19 August 2008

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/55204

zbMATH Keywords

close-to-convex functionsconvex of order \(\beta\)starlike of order \(\beta\)

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45)

Related Items (33)

On coefficients problems for typically real functions related to Gegenbauer polynomials ⋮ Estimate for initial Maclaurin coefficients of bi-univalent functions for a class defined by fractional derivatives ⋮ An upper bound to the nonlinear functional for certain subclasses of analytic functions associated with Hankel determinant ⋮ On the fourth coefficient of functions in the Carathéodory class ⋮ Bounded nonlinear functional derived by the generalized Srivastava-Owa fractional differential operator ⋮ Second Hankel determinants for the class of typically real functions ⋮ Unnamed Item ⋮ The third-order Hermitian Toeplitz determinant for classes of functions convex in one direction ⋮ The second and third-order Hermitian Toeplitz determinants for starlike and convex functions of order \(\alpha\) ⋮ Hankel determinant for a class of analytic functions of complex order defined by convolution ⋮ The bound of the Hankel determinant of the third kind for starlike functions ⋮ Estimate of third Hankel determinant for a subfamily of analytic functions ⋮ Upper bound of the third Hankel determinant for a subclass of q-Starlike functions associated with the lemniscate of Bernoulli ⋮ The bounds of some determinants for starlike functions of order alpha ⋮ Second Hankel determinant for a certain subclass of analytic functions defined by hypergeometric functions ⋮ Upper bound of second Hankel determinant for certain subclasses of analytic functions ⋮ An upper bound to the second Hankel determinant for functions in Mocanu class ⋮ On certain subclasses of multivalent analytic functions with complex order involving a linear operator ⋮ THE SHARP BOUND FOR THE HANKEL DETERMINANT OF THE THIRD KIND FOR CONVEX FUNCTIONS ⋮ Coefficient bounds of Kamali-type starlike functions related with a limacon-shaped domain ⋮ Coefficient inequality for certain subclasses of analytic functions associated with Hankel determinant ⋮ The second Hankel determinant for alpha-convex functions ⋮ Coefficient inequality for certain \(p\)-valent analytic functions ⋮ Unnamed Item ⋮ Bounds on Hankel determinant for starlike and convex functions with respect to symmetric points ⋮ SHARP BOUNDS OF SOME COEFFICIENT FUNCTIONALS OVER THE CLASS OF FUNCTIONS CONVEX IN THE DIRECTION OF THE IMAGINARY AXIS ⋮ Coefficient problems in the subclasses of close-to-star functions ⋮ The sharp bound of the Hankel determinant of the third kind for starlike functions of order 1/2 ⋮ Coefficient estimates of certain subclasses of analytic functions associated with Hohlov operator ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Hermitian Toeplitz determinants of the second and third-order for classes of close-to-star functions ⋮ Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions

Cites Work

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