Properties of Functions Involving Struve Function

Jonathan Aaron Azlan Mosiun and Suzeini Abdul Halim
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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

Mathematics, 2018, vol. 6, issue 11, 1-11

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 ∈ ? , 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.

Keywords: analytic; univalent; Struve function (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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