Results 51 to 60 of about 998 (123)
Length problems for Bazilevič functions
Demonstratio Mathematica, 2019 Let C(r) denote the curve which is image of the circle |z| = r < 1 under the mapping f . Let L(r) be the length of C(r) and A(r) the area enclosed by the curve C(r).
Nunokawa Mamoru +2 more
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, 2020 In this paper, we introduce a certain class H λ,α m,q (ζ,M ) of normalized analytic functions of complex order connected with a q-analogue of integral operators. For this complex-order analytic function class, we determine a sufficient condition in terms
H. Srivastava, S. El-Deeb
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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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An application of a subordination chain
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 27, Page 1751-1754, 2003., 2003 Let K denote the class of functions g(z) = z + a2z2 + ⋯ which are regular and univalently convex in the unit disc E. In the present note, we prove that if f is regular in E, f(0) = 0, then for g ∈ K, f(z) + αzf′(z) ≺ g(z) + αzg′(z) in E implies that f(z)≺g(z) in E, where α > 0 is a real number and the symbol “≺” stands for subordination.
Sukhjit Singh, Sushma Gupta
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Differential subordination and convexity criteria of integral operators
Open Mathematics, 2017 A significant connection between certain second-order differential subordination and subordination of f′(z) is obtained. This fundamental result is next applied to investigate the convexity of analytic functions defined in the open unit disk.
Chandrashekar R. +2 more
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Sufficient conditions for starlike functions associated with the lemniscate of Bernoulli [PDF]
, 2013 Let −1 ...
Sivaprasad Kumar +3 more
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Initial Coefficient Estimates for Bi‐Univalent Functions Related to Generalized Telephone Numbers
Journal of Mathematics, Volume 2024, Issue 1, 2024.This study defines three novel classes of bi‐univalent functions connected to generalized telephone numbers for the first time. We produced assessments about the Taylor–Maclaurin coefficients |a2| and |a3| and Fekete–Szegö functional problems for functions involving these novel subclasses for functions in every one regarding these three bi‐univalent ...
Gangadharan Murugusundaramoorthy +5 more
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An Application of the Briot-Bouquet Integral Operator for Differential Superordinations
Journal of Applied Computer Science & Mathematics, 2009 The notion of differential superordination wasintroduced as a dual concept of diffrential subordination bythe S. S. Miller and P. T. Mocanu. Using properties of theBriot-Bouquet linear operator, we obtain differentialsubordinations and superordinatios ...
Anamaria G. Macovei
doaj
Subordination results for a class of analytic functions
Moroccan Journal of Pure and Applied Analysis, 2021 In this paper, we derive several subordination results and integral means result for certain class of analytic functions with complex order defined by means of q-differential operator. Some interesting corollaries and consequences of our results are also
Aouf M. K. +2 more
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Initial coefficients and fourth Hankel determinant for certain analytic functions
Miskolc Mathematical Notes, 2020 The present work is an attempt to give partial proofs of certain conjectures on the fifth coefficient of certain normalized analytic functions. Further, bounds on the sixth and seventh coefficients for the starlike functions related to a lune are also ...
N. Cho, Vinod Kumar
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