Certain properties of \(q\)-hypergeometric functions

DOI10.1155/2015/489218zbMath1476.30044OpenAlexW1545341741WikidataQ59109837 ScholiaQ59109837MaRDI QIDQ1751373

Uzoamaka A. Ezeafulukwe, Darus, Maslina

Publication date: 25 May 2018

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

Full work available at URL: https://doi.org/10.1155/2015/489218

Mathematics Subject Classification ID

Special classes of univalent and multivalent functions of one complex variable (starlike, convex, bounded rotation, etc.) (30C45) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (9)

Certain subclasses of meromorphically \(q\)-starlike functions associated with the \(q\)-derivative operators ⋮ On Fekete-Szegö problems for certain subclasses defined by \(q\)-derivative ⋮ Upper bound of the third Hankel determinant for a subclass of q-Starlike functions associated with the lemniscate of Bernoulli ⋮ A DIFFERENCE METHOD FOR SOLVING THE NONLINEAR q-FRACTIONAL DIFFERENTIAL EQUATIONS ON TIME SCALES ⋮ Upper bound of the third Hankel determinant for a subclass of \(q\)-starlike functions associated with the \(q\)-exponential function ⋮ A Note on q–Calculus ⋮ 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 ⋮ THE UNIQUE EXISTENCE OF SOLUTION IN THE q-INTEGRABLE SPACE FOR THE NONLINEAR q-FRACTIONAL DIFFERENTIAL EQUATIONS

Cites Work

• A generalization of starlike functions of order alpha
• On the order of starlikeness of the shifted Gauss hypergeometric function
• Some subordination results on \(q\)-analogue of Ruscheweyh differential operator
• Contiguous relations, basic hypergeometric functions, and orthogonal polynomials. I
• Mapping properties of hypergeometric functions and convolutions of starlike or convex functions of order \(\alpha\)
• A subclass of harmonic univalent functions associated with \(q\)-analogue of Dziok-Srivastava operator
• On generating functions of Hausdorff moment sequences
• Partial sum of generalized class of meromorphically univalent functions defined by q-analogue of Liu–Srivastava operator
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• Geometric properties of basic hypergeometric functions
• On a generalization of close-to-convex functions
• Mapping properties of basic hypergeometric functions
• A New Class of Continued Fraction Expansions for the Ratios of Heine Functions. II
• A generalization of starlike functions
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