Results 21 to 30 of about 296 (58)
On polynomial expansion of multivalent functions
International Journal of Mathematics and Mathematical Sciences, Volume 14, Issue 3, Page 443-446, 1991., 1991 Coefficient bounds for mean p‐valent functions, whose expansion in an ellipse has a Jacobi polynomial series, are given in this paper.
M. M. Elhosh
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Sufficient conditions for spiral‐likeness
International Journal of Mathematics and Mathematical Sciences, Volume 12, Issue 4, Page 641-644, 1989., 1989 Coefflcient conditions sufficient for splral‐likenss are found by convolution methods. The order of starlikeness for such functions is also determined.
H. Silverman
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Some classes of alpha‐quasi‐convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 11, Issue 3, Page 497-501, 1988., 1986 Let C[C, D], −1 ≤ D < C ≤ 1 denote the class of functions g, g(0) = 0, g′(0) = 1, analytic in the unit disk E such that is subordinate to , z ∈ E. We investigate some classes of Alpha‐Quasi‐Convex Functions f, with f(0) = f′(0) − 1 = 0 for which there exists a g ∈ C[C, D] such that is subordinate to , −1 ≤ B < A ≤ 1.
Khalida Inayat Noor
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Unified Approach of the Logarithmic Coefficient Bounds for the Class of Bazilevic˘ Functions
Journal of Function Spaces, Volume 2026, Issue 1, 2026.The investigation of logarithmic coefficients in the theory of univalent functions began with Milin, who demonstrated their importance for understanding geometric features of these mappings through their connection with the Taylor coefficients hm. If S denotes the family of univalent functions on the unit disk D with the expansion hz=z+∑m=2∞hmzm, the ...
Ebrahim Analouei Adegani +3 more
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Subclasses of close‐to‐convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 6, Issue 3, Page 449-458, 1983., 1983 Let 𝒦[C, D], −1 ≤ D < C ≤ 1, denote the class of functions g(z), g(0) = g′(0) − 1 = 0, analytic in the unit disk U = {z : |z| < 1} such that 1 + (zg″(z)/g′(z)) is subordinate to (1 + Cz)/(1 + Dz), z ϵ U. We investigate the subclasses of close‐to‐convex functions f(z), f(0) = f′(0) − 1 = 0, for which there exists g ϵ 𝒦[C, D] such that f′/g′ is ...
E. M. Silvia
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Hadamard Product on Subclasses of Meromorphic Functions Involving q‐Difference Operator
Journal of Function Spaces, Volume 2025, Issue 1, 2025.By making use of a q‐derivative operator, certain families of meromorphic q‐starlike functions and meromorphic q‐convex functions are introduced and studied. In this paper, we define a q‐analogous value of differential operators for meromorphic functions with the help of basic concepts of quantum (q‐)calculus operator theory and introduce new ...
W. Y. Kota +3 more
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Univalence criterion for meromorphic functions and Loewner chains
, 2011 The object of the present paper is to obtain a more general condition for univalence of meromorphic functions in the U*. The significant relationships and relevance with other results are also given.
Becker +13 more
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Demonstratio MathematicaIn this article, we determine coefficient estimates and study the Fekete-Szegö problem for classes Λn(b){\Lambda }_{n}\left(b) and Λnc(b){\Lambda }_{n}^{c}\left(b), where bb is a nonzero complex order.
Aron Mihai
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Coefficients of univalent harmonic mappings
, 2017 Let $\mathcal{S}_H^0$ denote the class of all functions $f(z)=h(z)+\overline{g(z)}=z+\sum^\infty_{n=2} a_nz^n +\overline{\sum^\infty_{n=2} b_nz^n}$ that are sense-preserving, harmonic and univalent in the open unit disk $|z|
Kaliraj, Anbareeswaran Sairam +2 more
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Demonstratio MathematicaA TT-symmetric univalent function is a complex valued function that is conformally mapping the unit disk onto itself and satisfies the symmetry condition ϕ[T](ζ)=[ϕ(ζT)]1∕T{\phi }^{\left[T]}\left(\zeta )={\left[\phi \left({\zeta }^{T})]}^{1/T} for all ζ ...
Ibrahim Rabha W., Baleanu Dumitru
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