Properties of Functions Involving Struve Function

Document Type

Article

Publication Date

1-1-2018

Abstract

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.

Keywords

Analytic, Struve function, Univalent

Divisions

MathematicalSciences

Publication Title

Mathematics

Volume

6

Issue

11

Publisher

MDPI

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