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Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions

Author

Listed:
  • Shahid Mahmood

    (Department of Mechanical Engineering, Sarhad University of Science & I.T, Peshawar 25000, Pakistan)

  • Janusz Sokół

    (Department of Mathematics, Rzeszów University of Technology, Al. Powstańców, Warszawy 12, 35-959 Rzeszów, Poland)

  • Hari Mohan Srivastava

    (Department of Mathematics and Statistics, University of Victoria, Victoria, BC V8W 3R4, Canada
    Department of Medical Research, China Medical University Hospital, China Medical University, Taichung 40402, Taiwan)

  • Sarfraz Nawaz Malik

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

Abstract

The present paper comprises the study of certain functions which are analytic and defined in terms of reciprocal function. The reciprocal classes of close-to-convex functions and quasi-convex functions are defined and studied. Various interesting properties, such as sufficiency criteria, coefficient estimates, distortion results, and a few others, are investigated for these newly defined sub-classes.

Suggested Citation

  • Shahid Mahmood & Janusz Sokół & Hari Mohan Srivastava & Sarfraz Nawaz Malik, 2019. "Some Reciprocal Classes of Close-to-Convex and Quasi-Convex Analytic Functions," Mathematics, MDPI, vol. 7(4), pages 1-13, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:4:p:309-:d:217631
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    References listed on IDEAS

    as
    1. Junichi Nishiwaki & Shigeyoshi Owa, 2002. "Coefficient inequalities for certain analytic functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 29, pages 1-6, January.
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