Certain subordination results on the convolution of analytic functions

Journal Title: Journal of Mathematics and Applications - Year 2014, Vol 37, Issue

Abstract

In this paper, certain subordination results on the convolution of finite number of analytic functions are derived. Our results include a sufficiency condition for convexity of the convolution of analytic functions f_i satisfying [formula].

Authors and Affiliations

Poonam Sharma, Rajesh K. Maurya

Keywords

Related Articles

On the zeros of an analytic function

Kuniyeda, Montel and Toya had shown that the polynomial p(z) = [formula]; a_0 ≠ 0, of degree n, does not vanish in [formula], where p > 1, q > 1, (1/p) + (1/q) = 1 and we had proved that p(z) does not vanish in [formula]...

Some inequalities for the polar derivative of a polynomial with restricted zeros

Let p(z) be a polynomial of degree n and for any complex number α, [formula] denote the polar derivative of the polynomial p(z) with respect to α. In this paper, we obtain new results concerning maximum modulus of the po...

On the Existence of Solutions of a Perturbed Functional Integral Equation in the Space of Lebesgue Integrable Functions on ℝ+

In this paper, we investigate and study the existence of solutions for perturbed functional integral equations of convolution type using Darbo's fixed point theorem, which is associated with the measure of noncompactness...

On circularly symmetric functions

Let D ⸦ C and 0 ∈ D. A set D is circularly symmetric if for each [formula] a set [formula] is one of three forms: an empty set, a whole circle, a curve symmetric with respect to the real axis containing ϱ. A function f...

A Characterization of Weakly J(n)-Rings

A ring R is called a J(n)-ring if there exists a natural number n ≥ 1 such that for each element r ∈ R the equality r^{n+1} = r holds and a weakly J(n)-ring if there exists a natural number n ≥ 1 such that for each eleme...

Download PDF file
  • EP ID EP342547
  • DOI 10.7862/rf.2014.10
  • Views 124
  • Downloads 0

How To Cite

Poonam Sharma, Rajesh K. Maurya (2014). Certain subordination results on the convolution of analytic functions. Journal of Mathematics and Applications, 37(), 111-118. https://europub.co.uk/articles/-A-342547