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Close-to-Convexity of q -Bessel–Wright Functions

Author

Listed:
  • Muhey U. Din

    (Department of Mathematics, Government Islamia Graduate College, Faisalabad 38000, Pakistan)

  • Mohsan Raza

    (Department of Mathematics, Government College University Faisalabad, Faisalabad 38000, Pakistan)

  • Qin Xin

    (Faculty of Science and Technology, University of the Faroe Islands, Vestarabryggja 15, FO 100 Torshavn, Faroe Islands, Denmark)

  • Sibel Yalçin

    (Department of Mathematics, Faculty of Arts and Science, Bursa Uludag University, Bursa 16059, Turkey)

  • Sarfraz Nawaz Malik

    (Department of Mathematics, COMSATS University Islamabad, Wah Campus, Wah Cantt 47040, Pakistan)

Abstract

In this paper, we aim to find sufficient conditions for the close-to-convexity of q -Bessel–Wright functions with respect to starlike functions, such as z 1 − z , z 1 − z 2 , and − log ( 1 − z ) are in the open unit disc. Some consequences related to our main results are also included.

Suggested Citation

  • Muhey U. Din & Mohsan Raza & Qin Xin & Sibel Yalçin & Sarfraz Nawaz Malik, 2022. "Close-to-Convexity of q -Bessel–Wright Functions," Mathematics, MDPI, vol. 10(18), pages 1-12, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:18:p:3322-:d:913982
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    References listed on IDEAS

    as
    1. Francesco Mainardi & Armando Consiglio, 2020. "The Wright Functions of the Second Kind in Mathematical Physics," Mathematics, MDPI, vol. 8(6), pages 1-26, June.
    2. Zhen-Hang Yang & Jing-Feng Tian & Ya-Ru Zhu, 2020. "New Sharp Bounds for the Modified Bessel Function of the First Kind and Toader-Qi Mean," Mathematics, MDPI, vol. 8(6), pages 1-13, June.
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