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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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Main Authors: Mosiun, Jonathan, Halim, Suzeini Abd
Format: Article
Published: MDPI 2018
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/21217/
https://doi.org/10.3390/math6110240
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spelling my.um.eprints.212172019-05-13T05:02:19Z http://eprints.um.edu.my/21217/ Properties of Functions Involving Struve Function Mosiun, Jonathan Halim, Suzeini Abd QA Mathematics 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. MDPI 2018 Article PeerReviewed Mosiun, Jonathan and Halim, Suzeini Abd (2018) Properties of Functions Involving Struve Function. Mathematics, 6 (11). p. 240. ISSN 2227-7390 https://doi.org/10.3390/math6110240 doi:10.3390/math6110240
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Mosiun, Jonathan
Halim, Suzeini Abd
Properties of Functions Involving Struve Function
description 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.
format Article
author Mosiun, Jonathan
Halim, Suzeini Abd
author_facet Mosiun, Jonathan
Halim, Suzeini Abd
author_sort Mosiun, Jonathan
title Properties of Functions Involving Struve Function
title_short Properties of Functions Involving Struve Function
title_full Properties of Functions Involving Struve Function
title_fullStr Properties of Functions Involving Struve Function
title_full_unstemmed Properties of Functions Involving Struve Function
title_sort properties of functions involving struve function
publisher MDPI
publishDate 2018
url http://eprints.um.edu.my/21217/
https://doi.org/10.3390/math6110240
_version_ 1643691500670812160
score 13.160551

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