Results 11 to 20 of about 20 (20)
Some criteria for univalence of certain integral operators
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 47, Page 2489-2494, 2004., 2004 We derive some criteria for univalence of certain integral operators for analytic functions in the open unit disk.
Virgil Pescar, Shigeyoshi Owa
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Classes of uniformly starlike and convex functions
International Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 55, Page 2959-2961, 2004., 2004 Some classes of uniformly starlike and convex functions are introduced. The geometrical properties of these classes and their behavior under certain integral operators are investigated.
Saeid Shams +2 more
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Certain Constraints for Functions Provided by Touchard Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.Since finding solutions to integral equations is usually challenging analytically, approximate methods are often required, one of which is based on Touchard polynomials. This paper examines the necessary constraints for the functions Ϝετς,Πε,τ,ςℏ, and the integral operator Lετς, defined by Touchard polynomials, to be in the comprehensive subclass ∁η(q3,
Tariq Al-Hawary +3 more
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Mapping properties for convolutions involving hypergeometric functions
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 17, Page 1083-1091, 2003., 2003 For μ ≥ 0, we consider a linear operator Lμ : A → A defined by the convolution fμ∗f, where fμ=(1−μ)z2F1(a,b,c;z)+μz(z2F1(a,b,c;z)) ′. Let φ∗(A, B) denote the class of normalized functions f which are analytic in the open unit disk and satisfy the condition zf′/f≺(1 + Az)/1 + Bz, −1 ≤ A < B ≤ 1, and let Rη(β) denote the class of normalized analytic ...
J. A Kim, K. H. Shon
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.This study explores the geometric properties of normalized Gaussian hypergeometric functions in a certain subclass of analytic functions. This work investigates the inclusion properties of integral operators associated with generalized Bessel functions of the first kind.
Manas Kumar Giri +2 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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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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International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 30, Page 1923-1931, 2003., 2003 Let Ss(α)(0 ≤ α < 1/2) be the class of functions f(z) = z + ⋯ which are analytic in the unit disk and satisfy there Re{zf′(z)/(f(z) − f(−z))} > α. In the present paper, we find the sharp lower bound on Re{(f(z) − f(−z))/z} and investigate two subclasses S0(α) and T0(α) of Ss(α). We derive sharp distortion inequalities and some properties of the partial
Ding-Gong Yang, Jin-Lin Liu
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Subordination criteria for starlikeness and convexity
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 32, Page 2053-2059, 2003., 2003 For functions p analytic in the open unit disc U = {z : |z| < 1} with the normalization p(0) = 1, we consider the families 𝒫[A, −1], −1 < A ≤ 1, consisting of p such that p(z) is subordinate to (1 + Az)/(1 − z) in U and 𝒫(1, b), b > 0, consisting of p, which have the disc formulation |p − 1| < b in U.
Rasoul Aghalary, Jay M. Jahangiri
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