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Properties of Functions Involving Struve Function

Author

Listed:
  • Jonathan Aaron Azlan Mosiun

    (Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia)

  • Suzeini Abdul Halim

    (Institute of Mathematical Sciences, Faculty of Science, University of Malaya, Kuala Lumpur 50603, Malaysia)

Abstract

Let f ( z ) = z + ∑ n = 2 ∞ a n z n and g p , b , c ( z ) = z + ∑ n = 2 ∞ ( − c 4 ) n − 1 ( 3 2 ) n − 1 ( k ) n − 1 z n with p , b , c ∈ ℂ , k = p + b + 2 2 ≠ 0 , − 1 , − 2 , … be two analytic functions in the unit disk U = { z : | z | < 1 } . This paper gives conditions so that the function T p , b , c ( z ) = ( f ∗ g ) ( z ) , a function associated with the Struve function, is univalent, starlike, or convex in the unit disk.

Suggested Citation

  • Jonathan Aaron Azlan Mosiun & Suzeini Abdul Halim, 2018. "Properties of Functions Involving Struve Function," Mathematics, MDPI, vol. 6(11), pages 1-11, November.
    • Handle: RePEc:gam:jmathe:v:6:y:2018:i:11:p:240-:d:181148
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    References listed on IDEAS

    as
    1. Selinger, V., 1995. "Geometric properties of normalized Bessel functions," Pure Mathematics and Applications, Department of Mathematics, Corvinus University of Budapest, vol. 6(2-3), pages 273-277.
    2. Nihat Yagmur & Halit Orhan, 2013. "Starlikeness and Convexity of Generalized Struve Functions," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-6, March.
    Full references (including those not matched with items on IDEAS)

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