Properties of Functions Involving Struve Function

Let f (z) = z + ∑n=2 ∞ anzn and gp,b,c(z) = z + ∑n=2 ∞ (-c4)n-1/(3/2)n-1(k)n-1zn 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 Tp,b,c(z) = ( f * g)(z), a function associated with the St...

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Bibliographic Details
Main Authors: Mosiun, Jonathan, Halim, Suzeini Abd
Format: Article
Published: MDPI 2018
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Online Access:http://eprints.um.edu.my/21217/
https://doi.org/10.3390/math6110240
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Institution: Universiti Malaya
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Summary:Let f (z) = z + ∑n=2 ∞ anzn and gp,b,c(z) = z + ∑n=2 ∞ (-c4)n-1/(3/2)n-1(k)n-1zn 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 Tp,b,c(z) = ( f * g)(z), a function associated with the Struve function, is univalent, starlike, or convex in the unit disk.