Sharp Coefficient Bounds for a Subclass of Bounded Turning Functions with a Cardioid Domain

Article Mathematics, Applied

Hankel determinants for starlike and convex functions associated with sigmoid functions

Amina Riaz et al.

Summary: This paper deals with Hankel determinants for starlike and convex functions related to modified sigmoid functions, providing sharp bounds for the second and third Hankel determinants.

FORUM MATHEMATICUM (2022)

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Article Mathematics

On the Third and Fourth Hankel Determinants for a Subclass of Analytic Functions

Zhi-Gang Wang et al.

Summary: This paper focuses on investigating the third and fourth Hankel determinants for functions with bounded turning associated with Bernoulli's lemniscate. It also explores the fourth Hankel determinants for functions with 2-fold and 3-fold symmetry.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY (2022)

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Article Mathematics, Applied

Estimates Concerned with Hankel Determinant for M (?) Class

Selin Aydinoglu et al.

Summary: In this paper, we investigate the upper bound problem of Hankel determinant in the class of M (alpha), and obtain a sharp estimate. Moreover, for a class of analytic functions on the unit disc, assuming the existence of angular limit on the boundary point, estimations for the modulus of angular derivative have been obtained.

FILOMAT (2022)

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Article Mathematics, Interdisciplinary Applications

On Sharp Estimate of Third Hankel Determinant for a Subclass of Starlike Functions

Lei Shi et al.

Summary: This investigation focuses on a subclass of starlike function S-n-1,S-L* connected with a domain bounded by an epicycloid with n-1 cusps. The main objective is to study coefficient inequalities, and second and third Hankel determinants for functions belonging to this class. In particular, we calculate the sharp bounds of the third Hankel determinant for f is an element of S-4L* with zf'(z)/f(z) bounded by a four-leaf shaped domain under the unit disk D.

FRACTAL AND FRACTIONAL (2022)

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Article Mathematics, Applied

NOTE ON SOME CLASSES OF HOLOMORPHIC FUNCTIONS RELATED TO JACK'S AND SCHWARZ'S LEMMA

M. Mateljevic et al.

Summary: This paper discusses the relationship between holomorphic mappings on the unit disc and the corresponding index. The Jack's lemma is used as the main tool to establish this connection. As a result, estimates on the growth of certain classes of α-starlike functions and their generalizations are obtained.

APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS (2022)

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Article Mathematics

Starlike and Convex Functions Associated with a Nephroid Domain

Lateef Ahmad Wani et al.

Summary: This paper discusses the embedding of the Caratheodory function phi Ne(z) into the interior of the nephroid and introduces new function classes SNe and CNe associated with it. The paper also explores the characteristic properties, inclusion relationships, and sufficient conditions for some geometrically defined function classes.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY (2021)

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Article Mathematics

The sharp bound of the third Hankel determinant for functions of bounded turning

Bogumila Kowalczyk et al.

Summary: The sharp bound for the third Hankel determinant of an analytic function f is found, with specific conditions on the function's derivatives within the unit circle in the complex plane.

BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA (2021)

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Article Mathematics, Applied

Upper bound of the third Hankel determinant for a subclass of q-starlike functions associated with the q-exponential function

H. M. Srivastava et al.

Summary: This article introduces a subclass S*(L, q) of q-starlike functions associated with the q-exponential function, defined in the open unit disk U. The main objective is to determine the upper bound of the third-order Hankel determinant H-3(1) for functions belonging to the q-starlike function class S*(L, q), with relevant connections to earlier works pointed out for validation.

BULLETIN DES SCIENCES MATHEMATIQUES (2021)

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Article Mathematics, Applied

A cardioid domain and starlike functions

S. Sivaprasad Kumar et al.

Summary: We introduce and study a class of starlike functions defined by a specific condition, determine the radius of convexity, establish relationships with other classes, and derive sharp radius constants and coefficient related results.

ANALYSIS AND MATHEMATICAL PHYSICS (2021)

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Article Mathematics