IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v600y2022ics0378437122004083.html

Subclass of analytic functions involving Erdély–Kober type integral operator in conic regions and applications to neutrosophic Poisson distribution

Author

Listed:
  • Malathi, V.
  • Vijaya, K.

Abstract

In this article we familiarize a new subclass of analytic functions comprising Erdély–Kober type integral operator linked with the Janowski functions. Further, we confer some significant geometric properties like necessary and sufficient condition, growth and distortion bounds convex combination, partial sums and Fekete–Szegő inequality for this newly demarcated class. Further we conferred Fekete–Szegő inequality related with neutrosophic Poisson distribution.

Suggested Citation

  • Malathi, V. & Vijaya, K., 2022. "Subclass of analytic functions involving Erdély–Kober type integral operator in conic regions and applications to neutrosophic Poisson distribution," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 600(C).
    • Handle: RePEc:eee:phsmap:v:600:y:2022:i:c:s0378437122004083
    DOI: 10.1016/j.physa.2022.127595
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437122004083
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/j.physa.2022.127595?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
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    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.
    2. Saurabh Porwal, 2014. "An Application of a Poisson Distribution Series on Certain Analytic Functions," Journal of Complex Analysis, Hindawi, vol. 2014, pages 1-3, February.
    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. Saiful R. Mondal & Manas Kumar Giri & Raghavendar Kondooru, 2025. "Results on Linear Operators Associated with Pascal Distribution Series for a Certain Class of Normalized Analytic Functions," Mathematics, MDPI, vol. 13(7), pages 1-30, March.
    4. 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).
    5. 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.
    6. 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.
    7. 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.
    8. Amnah E. Shammaky & Basem Aref Frasin & Tamer M. Seoudy, 2022. "Subclass of Analytic Functions Related with Pascal Distribution Series," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    9. 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.
    10. 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.
    11. 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.
    12. Elif Yaşar & Sibel Yalçın, 2013. "Properties of a Class of p‐Harmonic Functions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    13. 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).
    14. 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.
    15. 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.
    16. Ekram E. Ali & Rabha M. El-Ashwah & Wafaa Y. Kota & Abeer M. Albalahi, 2025. "Geometric Attributes of Analytic Functions Generated by Mittag-Leffler Function," Mathematics, MDPI, vol. 13(20), pages 1-25, October.
    17. 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).
    18. 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.
    19. 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.
    20. 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).

    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:eee:phsmap:v:600:y:2022:i:c:s0378437122004083. 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    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.