Results 71 to 80 of about 5,950,409 (217)
Starlike functions of complex order involving q-hypergeometric functions with fixed point
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014 Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with f(ksi)=f'(ksi)-1=0, ksi (|ksi|=d) is a fixed point in the open disc U ={z C:|z| 1}.
Kaliappan Vijaya +2 more
doaj
On a linear combination of q-starlike and q-convex [PDF]
European Journal of Mathematics and ApplicationsThis investigation is about a set of analytic-univalent function-kind $$\mathfrak{f}(z)=z+\sum\limits_{j\geqq2}a_jz^j,\quad |z|
Ayotunde Olajide Lasode +1 more
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Certain classes of starlike functions. [PDF]
Michigan Mathematical Journal, 1985 The author introduces a one parameter family of starlike mappings in the unit disk by proving that if f(z) is analytic in \(| z| 0. \] The proof is based on an extended version of the author's lemma in Trans. Am. Math. Soc. 76, 254-274 (1954; Zbl 0057.311). Some applications are also given.
openaire +2 more sources
Starlikeness of a generalized Bessel function [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2018 15 ...
Ali, Rosihan M. +2 more
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Persistent Conformal Geometry and Loewner Evolution
Journal of Function Spaces, Volume 2026, Issue 1, 2026.We introduce persistent conformal geometry, a framework connecting geometric function theory with topological data analysis. The method assigns to each normalized univalent mapping a scale‐dependent distortion field and studies the persistent homology of its sublevel‐set filtration. The resulting persistence diagrams record the appearance, interaction,
Isra Al-Shbeil +5 more
wiley +1 more source
Characterization of p-valent q-starlike functions through Hadamard product and Poisson distribution
Applied Mathematics in Science and EngineeringThis paper presents significant advancement in the study of multivalent functions by introducing three new subclasses of p-valent q-starlike functions, defined with respect to higher-order q-derivatives within the open unit disk of the complex plane ...
Muhammad Uzair Shah +3 more
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Fractal and FractionalIn this paper, we introduce and investigate a normalized fractional Bessel–Maitland function generated through the Riemann–Liouville fractional derivative, thereby establishing a new connection between fractional calculus and geometric function theory ...
Javeria, Alina Alb Lupaş, Nazar Khan
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Journal of Mathematics, Volume 2026, Issue 1, 2026.A challenging task in studying geometric function theory is determining the sharp estimates for coefficient‐related results that come up in the Taylor series of analytic univalent functions. In the current paper, we attempt to establish some estimates of results concerning coefficient inequalities for the class of convex functions with respect to ...
Isra Al-Shbeil +7 more
wiley +1 more source
Starlikeness associated with parabolic regions
International Journal of Mathematics and Mathematical Sciences, 2005 A parabolic starlike function f of order ρ in the unit disk is characterized by the fact that the quantity zf′(z)/f(z) lies in a given parabolic region in the right half-plane. Denote the class of such functions by PS∗(ρ).
Rosihan M. Ali
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Weakly starlike meromorphic univalent functions. II
, 1977 A function f ( z ) f(z) is said to be meromorphic weakly starlike if it has the form f ( z ) = − ρ z F ( Z ) /
Albert E. Livingston
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