IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v8y2020i3p440-d333694.html
   My bibliography  Save this article

Janowski Type q -Convex and q -Close-to-Convex Functions Associated with q -Conic Domain

Author

Listed:
  • Muhammad Naeem

    (Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan)

  • Saqib Hussain

    (Department of Mathematics, COMSATS University Islamabad, Abbottabad Campus 22060, Pakistan)

  • Shahid Khan

    (Department of Mathematics, Riphah International University Islamabad, Islamabad 44000, Pakistan)

  • Tahir Mahmood

    (Department of Mathematics and Statistics, International Islamic University Islamabad, Islamabad 44000, Pakistan)

  • Maslina Darus

    (Faculty of Science and Technology, University Kebangsaan Malaysia, Bangi 43600, Selangor, Malaysia)

  • Zahid Shareef

    (Mathematics and Natural Science, Higher Colleges of Technology, Fujairah Men’s, Fujairah 4114, UAE)

Abstract

Certain new classes of q -convex and q -close to convex functions that involve the q -Janowski type functions have been defined by using the concepts of quantum (or q -) calculus as well as q -conic domain Ω k , q [ λ , α ] . This study explores some important geometric properties such as coefficient estimates, sufficiency criteria and convolution properties of these classes. A distinction of new findings with those obtained in earlier investigations is also provided, where appropriate.

Suggested Citation

  • Muhammad Naeem & Saqib Hussain & Shahid Khan & Tahir Mahmood & Maslina Darus & Zahid Shareef, 2020. "Janowski Type q -Convex and q -Close-to-Convex Functions Associated with q -Conic Domain," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:440-:d:333694
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/8/3/440/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/8/3/440/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Lei Shi & Qaiser Khan & Gautam Srivastava & Jin-Lin Liu & Muhammad Arif, 2019. "A Study of Multivalent q -starlike Functions Connected with Circular Domain," Mathematics, MDPI, vol. 7(8), pages 1-12, July.
    2. Hai-Yan Zhang & Rekha Srivastava & Huo Tang, 2019. "Third-Order Hankel and Toeplitz Determinants for Starlike Functions Connected with the Sine Function," Mathematics, MDPI, vol. 7(5), pages 1-10, May.
    3. K. G. Subramanian & T. V. Sudharsan & Herb Silverman, 2003. "On uniformly close-to-convex functions and uniformly quasiconvex functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-6, January.
    4. Sakar, F.M. & Aydoğan, M., 2018. "Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions," Applied Mathematics and Computation, Elsevier, vol. 319(C), pages 461-468.
    5. Wasim Ul-Haq & Shahid Mahmood, 2013. "Certain Properties of a Class of Close-to-Convex Functions Related to Conic Domains," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, April.
    6. Tang, Yongchao & Zhang, Tie, 2019. "A remark on the q-fractional order differential equations," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 198-208.
    7. Stanisława Kanas, 2003. "Techniques of the differential subordination for domains bounded by conic sections," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2003, pages 1-12, January.
    8. Lin-Lin Fan & Zhi-Gang Wang & Shahid Khan & Saqib Hussain & Muhammad Naeem & Tahir Mahmood, 2019. "Coefficient Bounds for Certain Subclasses of q -Starlike Functions," Mathematics, MDPI, vol. 7(10), pages 1-11, October.
    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. Rabha W. Ibrahim & Rafida M. Elobaid & Suzan J. Obaiys, 2020. "A Class of Quantum Briot–Bouquet Differential Equations with Complex Coefficients," Mathematics, MDPI, vol. 8(5), pages 1-13, May.
    2. Bilal Khan & Hari M. Srivastava & Nazar Khan & Maslina Darus & Muhammad Tahir & Qazi Zahoor Ahmad, 2020. "Coefficient Estimates for a Subclass of Analytic Functions Associated with a Certain Leaf-Like Domain," Mathematics, MDPI, vol. 8(8), pages 1-15, August.
    3. Muhammad Naeem & Saqib Hussain & Tahir Mahmood & Shahid Khan & Maslina Darus, 2019. "A New Subclass of Analytic Functions Defined by Using Salagean q -Differential Operator," Mathematics, MDPI, vol. 7(5), pages 1-13, May.
    4. Miraj Ul-Haq & Mohsan Raza & Muhammad Arif & Qaiser Khan & Huo Tang, 2019. "q-Analogue of Differential Subordinations," Mathematics, MDPI, vol. 7(8), pages 1-16, August.
    5. Saeed Islam & Muhammad Ghaffar Khan & Bakhtiar Ahmad & Muhammad Arif & Ronnason Chinram, 2020. "Q -Extension of Starlike Functions Subordinated with a Trigonometric Sine Function," Mathematics, MDPI, vol. 8(10), pages 1-14, October.
    6. Abdullah Alotaibi & Muhammad Arif & Mohammed A. Alghamdi & Shehzad Hussain, 2020. "Starlikness Associated with Cosine Hyperbolic Function," Mathematics, MDPI, vol. 8(7), pages 1-16, July.
    7. Qaiser Khan & Muhammad Arif & Mohsan Raza & Gautam Srivastava & Huo Tang & Shafiq ur Rehman, 2019. "Some Applications of a New Integral Operator in q -Analog for Multivalent Functions," Mathematics, MDPI, vol. 7(12), pages 1-13, December.
    8. Bilal Khan & Zhi-Guo Liu & Hari M. Srivastava & Nazar Khan & Maslina Darus & Muhammad Tahir, 2020. "A Study of Some Families of Multivalent q -Starlike Functions Involving Higher-Order q -Derivatives," Mathematics, MDPI, vol. 8(9), pages 1-12, September.
    9. Mansour F. Yassen & Adel A. Attiya, 2023. "Certain Quantum Operator Related to Generalized Mittag–Leffler Function," Mathematics, MDPI, vol. 11(24), pages 1-15, December.
    10. Muhammad Arif & Omar Barkub & Hari Mohan Srivastava & Saleem Abdullah & Sher Afzal Khan, 2020. "Some Janowski Type Harmonic q -Starlike Functions Associated with Symmetrical Points," Mathematics, MDPI, vol. 8(4), pages 1-16, April.

    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:8:y:2020:i:3:p:440-:d:333694. 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 (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.