IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i2p174-d719104.html

Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator

Author

Listed:
  • Matthew Olanrewaju Oluwayemi

    (SDG 4 (Quality Education Research Group), Landmark University, Omu-Aran 1001, Nigeria
    Department of Mathematics, Landmark University, Omu-Aran 1001, Nigeria)

  • Kaliappan Vijaya

    (School of Advanced Sciences, VIT University, Vellore 632014, India)

  • Adriana Cătaş

    (Department of Mathematics and Computer Science, University of Oradea, 1 University Street, 410087 Oradea, Romania)

Abstract

In this article, we construct a new subclass of analytic functions involving a generalized differential operator and investigate certain properties including the radius of starlikeness, closure properties and integral means result for the class of analytic functions with negative coefficients. Further, the relationship between the results and some known results in literature are also established.

Suggested Citation

  • Matthew Olanrewaju Oluwayemi & Kaliappan Vijaya & Adriana Cătaş, 2022. "Certain Properties of a Class of Functions Defined by Means of a Generalized Differential Operator," Mathematics, MDPI, vol. 10(2), pages 1-10, January.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:174-:d:719104
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/2/174/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/10/2/174/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. F. M. Al-Oboudi, 2004. "On univalent functions defined by a generalized Sălăgean operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-8, January.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Adriana Cătaş & Georgia Irina Oros & Gheorghe Oros, 2008. "Differential Subordinations Associated with Multiplier Transformations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
    2. Oluwasegun Adeshina OLUKOYA, 2026. "Early Coefficient Bounds and Fekete–Szegö Inequality for a Subclass of Analytic Functions Defined by a New Generalized Differential Operator," International Journal of Research and Innovation in Social Science, International Journal of Research and Innovation in Social Science (IJRISS), vol. 10(3), pages 5974-5984, March.
    3. Om Ahuja & Asena Çetinkaya & Naveen Kumar Jain, 2022. "Mittag‐Leffler Operator Connected with Certain Subclasses of Bazilevic̆ Functions," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    4. Sondekola Rudra Swamy & Alina Alb Lupaş & Nanjundan Magesh & Yerragunta Sailaja, 2023. "Properties of a Special Holomorphic Function Linked with a Generalized Multiplier Transformation," Mathematics, MDPI, vol. 11(19), pages 1-10, September.
    5. Ekram Elsayed Ali & Teodor Bulboacă, 2020. "Subclasses of Multivalent Analytic Functions Associated with a q -Difference Operator," Mathematics, MDPI, vol. 8(12), pages 1-8, December.
    6. T. M. Seoudy, 2013. "On Certain Classes of Harmonic -Valent Functions Defined by an Integral Operator," International Journal of Analysis, Hindawi, vol. 2013, pages 1-7, February.
    7. Serap Bulut, 2013. "Mapping Properties of Some Classes of Analytic Functions under Certain Integral Operators," Journal of Mathematics, Hindawi, vol. 2013, pages 1-7, January.
    8. R. M. El-Ashwah & M. K. Aouf & S. M. El-Deeb, 2013. "Differential Subordination for Certian Subclasses of -Valent Functions Assoicated with Generalized Linear Operator," Journal of Mathematics, Hindawi, vol. 2013, pages 1-8, March.
    9. Elif Yaşar & Sibel Yalçın, 2013. "Properties of a Class of p‐Harmonic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    10. Matthew O. Oluwayemi & Olubunmi A. Fadipe-Joseph, 2022. "A New Class of Function with Finitely Many Fixed Points," Abstract and Applied Analysis, John Wiley & Sons, vol. 2022(1).
    11. Abbas Kareem Wanas & Luminiţa-Ioana Cotîrlă, 2022. "Applications of ( M , N )-Lucas Polynomials on a Certain Family of Bi-Univalent Functions," Mathematics, MDPI, vol. 10(4), pages 1-11, February.
    12. Ibtisam Aldawish & Tariq Al-Hawary & B. A. Frasin, 2020. "Subclasses of Bi-Univalent Functions Defined by Frasin Differential Operator," Mathematics, MDPI, vol. 8(5), pages 1-11, May.
    13. M. A. Kutbi & A. A. Attiya, 2012. "Differential Subordination Results for Certain Integrodifferential Operator and Its Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    14. Rabha W. Ibrahim & Rafida M. Elobaid & Suzan J. Obaiys, 2020. "Symmetric Conformable Fractional Derivative of Complex Variables," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
    15. Daniel Breaz & Kadhavoor R. Karthikeyan & Elangho Umadevi, 2022. "Subclasses of Multivalent Meromorphic Functions with a Pole of Order p at the Origin," Mathematics, MDPI, vol. 10(4), pages 1-15, February.
    16. Ben Wongsaijai & Nattakorn Sukantamala, 2014. "Convexity Properties for Certain Classes of Analytic Functions Associated with an Integral Operator," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    17. F. M. Al-Oboudi, 2012. "n‐Bazilevic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    18. Maslina Darus & Imran Faisal, 2011. "A Study on Becker′s Univalence Criteria," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    19. Ekram E. Ali & Hari M. Srivastava & Abeer M. Albalahi, 2023. "Subclasses of p -Valent κ -Uniformly Convex and Starlike Functions Defined by the q -Derivative Operator," Mathematics, MDPI, vol. 11(11), pages 1-19, June.
    20. T. Al-Hawary & B. A. Frasin & M. Darus, 2013. "On Certain Subclass of Analytic Functions with Fixed Point," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:10:y:2022:i:2:p:174-:d:719104. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager The email address of this maintainer does not seem to be valid anymore. Please ask MDPI Indexing Manager to update the entry or send us the correct address (email available below). General contact details of provider: https://www.mdpi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.