Results 51 to 60 of about 3,137 (178)
Initial Coefficient Bounds of Convex Functions Related to Pascal Snail Function
Journal of Mathematics, Volume 2026, Issue 1, 2026.For −1 ≤ λ ≤ 1, let Cλ be a subclass of convex functions associated with the Pascal snail function, analytically defined by the subordination relation, (1 + τf″(τ)/f′(τ))≺1/(1 − λτ). In this article, we have presented the initial coefficient bounds for the functions f in the class Cλ. We have also established the bounds on the Hankel determinants |H2,1(
Arooj Fatima +4 more
wiley +1 more source
Journal of Mathematics, 2022 In this paper, by using the concept of the symmetric q-difference operator, we introduce certain classes of symmetric q-starlike and symmetric q-convex functions.
Tamer M. Seoudy
doaj +1 more source
Axioms, 2022 By making use of a higher-order q-derivative operator, certain families of meromorphic q-starlike functions and meromorphic q-convex functions are introduced and studied.
Likai Liu, Rekha Srivastava, Jin-Lin Liu
doaj +1 more source
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
wiley +1 more source
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
wiley +1 more source
Partial Sums of Starlike and Convex Functions
Journal of Mathematical Analysis and Applications, 1997 Let \(S\) be the class of functions \(f:f(z)= z+\sum^\infty_{k=2} a_kz^k\) that are analytic in the unit disc \(E\). Let \(S^*(\alpha)\) and \(K(\alpha)\), respectively, be the subclasses of \(S\) which consist of starlike and convex functions of order \(\alpha, 0\leq\alpha
openaire +1 more source
On convex and starlike functions in a sector [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1996 AbstractLet f be analytic in D = {z: |z| < 1} with f(0) = f′(0)−1=0. For γ > 0, the largest α (γ) and β(γ) are found such that . The results solve the inclusion problem for convex and starlike functions defined in a sector.
Nunokawa, M., Thomas, D. K.
openaire +2 more sources
Journal of Function Spaces, Volume 2025, Issue 1, 2025.This paper establishes new applications of q‐calculus for meromorphic harmonic functions, utilizing concepts of convolutions, subordination, and the q‐difference operator. We introduce the q‐Ruscheweyh‐type derivative operator for meromorphic harmonic functions and utilize it to define and explore novel subclasses related to Janowski functions.
Ahmad A. Abubaker, Abdul Rauf Khan
wiley +1 more source
Angle distortion theorems for starlike and spirallike functions with respect to a boundary point
International Journal of Mathematics and Mathematical Sciences, 2006 We exhibit angle bounds for starlike and spirallike functions with respect to a boundary point. As an application, we obtain a covering theorem for functions convex in one direction.
Mark Elin, David Shoikhet
doaj +1 more source
Journal of Inequalities and Applications, 2020 A number of families of q-extensions of analytic functions in the open unit disk U $\mathbb{U}$ have been defined by means of basic (or q-)calculus and considered from many distinctive prospectives and viewpoints.
Muhammad Sabil Ur Rehman +5 more
doaj +1 more source