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Mathematics
Article . 2018 . Peer-reviewed
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Mathematics
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Mathematics
Article . 2018
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Properties of Functions Involving Struve Function

Authors: Mosiun, Jonathan; Halim, Suzeini Abd;

Properties of Functions Involving Struve Function

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.

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Keywords

Struve function, analytic, QA1-939, QA Mathematics, univalent, Mathematics

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold