New Criteria for Functions in a Class of Meromorphically Strongly Starlike Functions

Nak Eun Cho; Inhwa Kim; H. M. Srivastava

doi:10.2478/auom-2024-0028

.blurhash-client-img { display: none !important; }

New Criteria for Functions in a Class of Meromorphically Strongly Starlike Functions

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 32 (2024): Issue 3 (October 2024)

By: Nak Eun Cho, Inhwa Kim and H. M. Srivastava

Open Access

|Oct 2024

Abstract

The authors propose to investigate some new criteria for a certain class of meromorphically strongly starlike functions in the punctured open unit disk. Some intriguing applications that arise as special cases of the main results, which are presented in this study, are also considered.

References

E. E. Ali, H. M. Srivastava, R. M. El-Ashwah and A. M. Albalahi, Differential subordination and differential superordination for classes of admissible multivalent functions associated with a linear operator, Mathematics 10 (2022), Article ID 4690, 1–20.
Search in Google Scholar Back to article
R. M. Ali, N. E. Cho, V. Ravichandran and S. S. Kumar, Differential subordination for functions associated with the lemniscate of Bernoulli, Taiwanese J. Math. 16 (2012), 1017–1026.
Search in Google Scholar Back to article
D. Breaz, L.-I. Cotîrlă, E. Umadevi, K. R. Karthikeyan, Properties of meromorphic spiral-like functions associated with symmetric functions, J. Funct. Spaces 2022 (2022), Article ID 3444854, 1–10.
Search in Google Scholar Back to article
D. Breaz, K. R. Karthikeyan, E. Umadevi and A. Senguttuvan, Some properties of Bazilevič functions involving Srivastava-Tomovski operator, Axioms 11 (2022), Article ID 687, 1–12.
Search in Google Scholar Back to article
D. Breaz, A. A. Alahmari, L.-I. Cotîrlă and S. A. Shah, On generalizations of the close-to-convex functions associated with q-Srivastava-Attiya operator, Mathematics 11 (2023), Article ID 2022, 1–10.
Search in Google Scholar Back to article
Y.-L. Cang and J.-L. Liu, Some sufficient conditions for starlikeness and convexity of order α, J. Appl. Math. 2013 (2013), Article ID 869469, 1–4.
Search in Google Scholar Back to article
N. E. Cho, Y. C. Kim and H. M. Srivastava, Argument estimates for a certain class of analytic functions, Complex Variables Theory Appl. 38 (1999), 277–287.
Search in Google Scholar Back to article
N. E. Cho, S. Kumar, V. Kumar, V. Ravichandran and H. M. Srivastava, Starlike functions related to the Bell numbers, Symmetry 11 (2019), Article ID 219, 1–17.
Search in Google Scholar Back to article
N. E. Cho, O. S. Kwon and H. M. Srivastava, Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators, J. Math. Anal. Appl. 292 (2004), 470–483.
Search in Google Scholar Back to article
N. E. Cho, O. S. Kwon and H. M. Srivastava, Inclusion and argument properties for certain subclasses of meromorphic functions associated with a family of multiplier transformations, J. Math. Anal. Appl. 300 (2004), 505–520.
Search in Google Scholar Back to article
N. E. Cho and H. M. Srivastava, Argument estimates of certain analytic functions defined by a class of multiplier transformations, Math. Comput. Model. 37 (1-2) (2003), 39–49.
Search in Google Scholar Back to article
N. E. Cho, H. M. Srivastava, E. A. Adegani and A. Motamednezhad, Criteria for a certain class of the Carathéodory functions and their applications, J. Inequal. Appl. 2020 (2020), Article ID 85, 1–14.
Search in Google Scholar Back to article
A. W. Goodman, Univalent Functions, Vols. I and II, Mariner Publishing Company Incorporated, Tampa, Florida, 1983.
Search in Google Scholar Back to article
R. Kargar, A. Ebadian and L. Trojnar-Spelina, Further results for starlike functions related with Booth lemniscate, Iran J. Sci. Technol. Trans. A Sci. 43 (2019), 1235–1238.
Search in Google Scholar Back to article
I. H. Kim, Y. J. Sim and N. E. Cho, New criteria for Carathéodory functions, J. Inequal. Appl. 2019 (2019), Article ID 13, 1–16.
Search in Google Scholar Back to article
J.-L. Li and S. Owa, Sufficient conditions for starlikeness, Indian J. Pure Appl. Math. 33 (2002), 313–318.
Search in Google Scholar Back to article
V. S. Masih, A. Ebadian and S. Najafzadeh, On applications of Nunokawa and Sokół-theorem for p-valency, Bull. Iran. Math. Soc. 46 (2020), 471–486.
Search in Google Scholar Back to article
S. S. Miller and P. T. Mocanu, Differential Subordinations: Theory and Applications, Series on Monographs and Textbooks in Pure and Applied Mathematics, No. 225, Marcel Dekker Incorporated, New York and Basel, 2000.
Search in Google Scholar Back to article
M. Nunokawa, S. Owa, H. Saitoh and N. N. Pascu, Argument estimates for certain analytic functions, Proc. Japan Acad. Ser. A Math. Sci. 79 (2003), 163–166.
Search in Google Scholar Back to article
M. Nunokawa and J. Sokół, On meromorphic and starlike functions, Complex Var. Elliptic Equ. 60 (2015), 1411–1423.
Search in Google Scholar Back to article
M. Nunokawa and J. Sokół, Conditions for starlikeness of multivalent functions, Results Math. 72 (2017), 359–367.
Search in Google Scholar Back to article
M. Nunokawa and J. Sokół, On multivalent starlike functions and Ozaki condition, Complex Var. Elliptic Equ. 64 (2019), 78–92.
Search in Google Scholar Back to article
H. M. Srivastava, Some parametric and argument variations of the operators of fractional calculus and related special functions and integral transformations, J. Nonlinear Convex Anal. 22 (2021), 1501–1520.
Search in Google Scholar Back to article
D.-G. Yang, S. Owa and K. Ochiai, Sufficient conditions for Carathéodory functions, Comput. Math. Appl. 51 (2006), 467–474.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/auom-2024-0028 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

Journal RSS Feed

Language: English

Page range: 57 - 74

Submitted on: Sep 1, 2023

Accepted on: Dec 14, 2023

Published on: Oct 17, 2024

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Analytic functions,

Univalent functions,

Starlike functions,

Meromorphic functions,

Principle of subordination,

Argument estimates,

Strongly starlike functions,

Meromorphically strongly starlike functions

Related subjects:

Mathematics,

General mathematics

© 2024 Nak Eun Cho, Inhwa Kim, H. M. Srivastava, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 32 (2024): Issue 3 (October 2024)