English

New Hohlov Type Integral Operator involving Clausen's Hypergeometric Functions

Complex Variables 2022-05-27 v1

Abstract

We consider the integral operator Id,ea,b,c(f)(z)\mathcal{I}^{a,b,c}_{d,e}(f)(z) involving Clausen's Hypergeometric Function by means of convolution introduced by Chandrasekran and Prabhakaran for investigation. The conditions on the parameters a,b,c a,b, c are determined using the integral operator Ic2,c+12a,b2,b+12(f)(z)\mathcal{I}^{a,\frac{b}{2},\frac{b+1}{2}}_{\frac{c}{2}, \frac{c+1}{2}}(f)(z) to study the geometric properties of Clausen's Hypergeometric Function for various subclasses of univalent functions.

Keywords

Cite

@article{arxiv.2205.13389,
  title  = {New Hohlov Type Integral Operator involving Clausen's Hypergeometric Functions},
  author = {K. Chandrasekran and D. J. Prabhakaran},
  journal= {arXiv preprint arXiv:2205.13389},
  year   = {2022}
}

Comments

18 Pages

R2 v1 2026-06-24T11:29:41.147Z