IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2008y2008i1n845724.html

Differential Subordinations Associated with Multiplier Transformations

Author

Listed:
  • Adriana Cătaş
  • Georgia Irina Oros
  • Gheorghe Oros

Abstract

The authors introduce new classes of analytic functions in the open unit disc which are defined by using multiplier transformations. The properties of these classes will be studied by using techniques involving the Briot‐Bouquet differential subordinations. Also an integral transform is established.

Suggested Citation

  • Adriana Cătaş & Georgia Irina Oros & Gheorghe Oros, 2008. "Differential Subordinations Associated with Multiplier Transformations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2008(1).
    • Handle: RePEc:wly:jnlaaa:v:2008:y:2008:i:1:n:845724
    DOI: 10.1155/2008/845724
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2008/845724
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2008/845724?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. F. M. Al-Oboudi, 2012. "n‐Bazilevic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

    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. 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).
    2. 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).
    3. 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).
    4. 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.
    5. 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).
    6. F. M. Al-Oboudi, 2012. "n‐Bazilevic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    7. Sarfraz Nawaz Malik & Nazar Khan & Ferdous M. O. Tawfiq & Mohammad Faisal Khan & Qazi Zahoor Ahmad & Qin Xin, 2023. "Fuzzy Differential Subordination Associated with a General Linear Transformation," Mathematics, MDPI, vol. 11(22), pages 1-17, November.
    8. Daniel Breaz & Shahid Khan & Ferdous M. O. Tawfiq & Fairouz Tchier, 2023. "Applications of Fuzzy Differential Subordination to the Subclass of Analytic Functions Involving Riemann–Liouville Fractional Integral Operator," Mathematics, MDPI, vol. 11(24), pages 1-22, December.
    9. Wafaa Y. Kota & Rabha M. El-Ashwah & Nicoleta Breaz, 2023. "Application of the Quasi-Hadamard Product to Subclasses of Analytic Functions Involving the q -Difference Operator," Mathematics, MDPI, vol. 11(10), pages 1-9, May.
    10. Abdel Moneim Y. Lashin & Mohamed K. Aouf, 2022. "Hadamard Product of Certain Multivalent Analytic Functions with Positive Real Parts," Mathematics, MDPI, vol. 10(9), pages 1-9, May.
    11. Ayotunde Olajide Lasode & Timothy Oloyede Opoola & Isra Al-Shbeil & Timilehin Gideon Shaba & Huda Alsaud, 2023. "Concerning a Novel Integral Operator and a Specific Category of Starlike Functions," Mathematics, MDPI, vol. 11(21), pages 1-17, November.
    12. Halit Orhan & Dorina Răducanu & Murat Çağlar & Mustafa Bayram, 2013. "Coefficient Estimates and Other Properties for a Class of Spirallike Functions Associated with a Differential Operator," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    13. Loriana Andrei & Vasile-Aurel Caus, 2024. "Subordinations Results on a q -Derivative Differential Operator," Mathematics, MDPI, vol. 12(2), pages 1-20, January.
    14. 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.
    15. 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.
    16. 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.
    17. 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.
    18. 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.
    19. 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.
    20. 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.

    More about this item

    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:wly:jnlaaa:v:2008:y:2008:i:1:n:845724. 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.