Abstract
This article deals with some functional inequalities involving Struve function, generalized Struve function, and modified Struve functions. We aim to find the convexity of the integral operator defined by Struve function, generalized Struve function, and modified Struve functions.
Highlights
IntroductionLet S∗ and C be the subclasses of S consisting of all functions which map U onto a star shaped with respect to origin and convex domains, respectively
We denote by A the class of functions f which are analytic in the open unit disc U = {z : |z| < 1} and of the form ∞f (z) = z + ∑anzn. (1) n=2Let S denote the class of all functions in A which are univalent in U
We aim to find the convexity of the integral operator defined by Struve function, generalized Struve function, and modified Struve functions
Summary
Let S∗ and C be the subclasses of S consisting of all functions which map U onto a star shaped with respect to origin and convex domains, respectively The particular solution of the inhomogeneous equation defined in (6) is called the Struve function of order V. Its particular solution is called the modified Struve functions of order V and is given by LV (z) = −ie−iVπ/2KV (iz). Din et al [10] studied the univalence of integral operators involving generalized Struve functions. These operators are defined as follows: Fα1 ,...,αn ,β [β z.
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