Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains

Selvakumaran, K. A.; Rajaguru, P.; Purohıt, Sunıl Dutt; Suthar, D. L.

doi:10.1155/2022/2876673

Journal of Function Spaces

2022

DOI: 10.1155/2022/2876673

|View full text |Cite

Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains

K. A. Selvakumaran¹,

P. Rajaguru²,

Sunıl Dutt Purohıt

et al.

Abstract: In this paper, we determine the radius of λ -uniform convexity, λ -starlikeness, and α -convexity of order δ for the Weierstrass canonical product of an entire functi… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2023

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 14 publications

(16 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

Class of bounds of the generalized Volterra functions

Mehrez,

Brahim,

Sitnik

2024

Mathematica Slovaca

View full text Add to dashboard Cite

In the present paper, we prove the monotonicity property of the ratios of the generalized Volterra function. As consequences, new and interesting monotonicity concerning ratios of the exponential integral function, as well as it yields some new functional inequalities including Turán-type inequalities. Moreover, two-side bounding inequalities are then obtained for the generalized Volterra function. The main mathematical tools are some integral inequalities. As applications, a few of upper and lower bound inequalities for the exponential integral function are derived. The various results, which are established in this paper, are presumably new, and their importance is illustrated by several interesting consequences and examples accompanied by graphical representations to substantiate the accuracy of the obtained results. Some potential directions for analogous further research on the subject of the present investigation are indicated in the concluding section.

show abstract

Class of bounds of the generalized Volterra functions

Mehrez,

Brahim,

Sitnik

2024

Mathematica Slovaca

View full text Add to dashboard Cite

show abstract

Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function

Khan

Shi

et al. 2023

MATH

View full text Add to dashboard Cite

<abstract><p>In the present article, we define and investigate a new subfamily of holomorphic functions connected with the cosine hyperbolic function with bounded turning. Further some interesting results like sharp coefficients bounds, sharp Fekete-Szegö estimate, sharp $ 2^{nd} $ Hankel determinant and non-sharp $ 3^{rd} $ order Hankel determinant. Moreover, the same estimates have been investigated for 2-fold, 3-fold symmetric functions, the first four initial sharp bounds of logarithmic coefficient and sharp second Hankel determinant of logarithmic coefficients fort his defined function family.</p></abstract>

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Certain Geometric Properties of the Canonical Weierstrass Product of an Entire Function Associated with Conic Domains

Abstract: In this paper, we determine the radius of λ -uniform convexity, λ -starlikeness, and α -convexity of order δ for the Weierstrass canonical product of an entire functi… Show more

Cited by 2 publications

References 14 publications

Class of bounds of the generalized Volterra functions

Class of bounds of the generalized Volterra functions

Hankel inequalities for bounded turning functions in the domain of cosine Hyperbolic function

Contact Info

Product

Resources

About