Results 41 to 50 of about 998 (123)
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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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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Scientific African, 2022 A new class of univalent functions denoted by Tm(ξ,ϖ,σ,en) is defined and studied in this work. The class of functions Tm(ξ,ϖ,σ,en) generalises certain previously introduced classes of functions in the literature.
M.O. Oluwayemi +2 more
doaj
Journal of Inequalities and Applications, 2013 In this paper, the upper bound of the Hankel determinant H3(1) for a subclass of analytic functions associated with right half of the lemniscate of Bernoulli (x2+y2)2−2(x2−y2)=0 is investigated. MSC:30C45, 30C50.
Mohsan Raza, S. Malik
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Sharp estimation of Hermitian-Toeplitz determinants for Janowski type starlike and convex functions
Miskolc Mathematical Notes, 2020 The sharp upper and lower bounds for the third-order Hermitian-Toeplitz determinant are investigated for the classes of Janowski type starlike and convex functions.
Virendra Kumar, R. Srivastava, N. Cho
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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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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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Toeplitz matrices whose elements are coefficients of Bazilevič functions
Open Mathematics, 2018 We consider the Toeplitz matrices whose elements are the coefficients of Bazilevič functions and obtain upper bounds for the first four determinants of these Toeplitz matrices.
Radhika Varadharajan +3 more
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Journal of Function Spaces, Volume 2025, Issue 1, 2025.This article investigates the upper bounds of the second Hankel and Toeplitz determinants for a family of q‐starlike functions defined by a q‐analog integral operator, which is a more general form of the q‐Srivastava‐Attiya operator, and the q‐exponential function eq(z).
Sarem H. Hadi +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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