On applications of the extended Jack's lemma

Authors

  • S. Sivaprasad Kumar Department of Applied Mathematics, Delhi Technological University, Shahbad Daulatpur, India
  • Pooja Yadav Department of Applied Mathematics, Delhi Technological University, Shahbad Daulatpur, India

DOI:

https://doi.org/10.3842/umzh.v77i6.8419

Keywords:

Analytic function, Subordination, Jack's lemma, Open-Door lemma

Abstract

UDC 517.5

We introduce and study a class ${\bf\mathcal{G}}(\alpha,\beta)$ comprising analytic functions associated with a sector domain, where $\alpha,\beta\in(0,1]$. By using the extended version of Jack's lemma, we deduce the Open–Door lemma sufficient conditions for functions to be in  ${\bf\mathcal{G}}(\alpha,\beta)$. Furthermore, we present special cases of our results that are in agreement with known results.

References

The full version of this paper will be published in Ukrainian Mathematical Journal, Vol. 77, No. 6, 2025.

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Published

01.08.2025

Issue

Vol. 77 No. 6 (2025)

Section

Research articles

How to Cite

Kumar, S. Sivaprasad, and Pooja Yadav. “On Applications of the Extended Jack’s Lemma”. Ukrains’kyi Matematychnyi Zhurnal, vol. 77, no. 6, Aug. 2025, pp. 449–450, https://doi.org/10.3842/umzh.v77i6.8419.