Some geometric properties of certain class of Le Roy type functions

[2503.12431] Some geometric properties of certain class of Le Roy type functions Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Mathematics > Complex Variables arXiv:2503.12431 (math) [Submitted on 16 Mar 2025 ( v1 ), last revised 15 Aug 2026 (this version, v2)] Title: Some geometric properties of certain class of Le Roy type functions Authors: Abhinav Sharma , Suhas B Mahesh , Anish Kumar , Karthik V Pai View a PDF of the paper titled Some geometric properties of certain class of Le Roy type functions, by Abhinav Sharma and 3 other authors View PDF HTML (experimental) Abstract: The main goal of this paper is to obtain sufficient conditions so that Le Roy type functions and multivariate Le Roy type functions satisfy subordination of exponential function. Moreover conditions on parameters have been derived to claim them being exponential starlike and exponential convex for both of the functions. Starlikeness, convexity and close-to-convexity have also been studied for multivariate Le Roy type functions. Results developed in this work are presumably new and their significance is illustrated by several consequences, graphical representations and examples. Comments: 23 pages Subjects: Complex Variables (math.CV) MSC classes: 30C45 (Primary) 33E12, 30C80 (Secondary) Cite as: arXiv:2503.12431 [math.CV] (or arXiv:2503.12431v2 [math.CV] for this version) https://doi.org/10.48550/arXiv.2503.12431 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Abhinav Sharma [ view email ] [v1] Sun, 16 Mar 2025 09:44:26 UTC (13 KB) [v2] Sat, 15 Aug 2026 12:43:48 UTC (354 KB) Full-text links: Access Paper: View a PDF of the paper titled Some geometric properties of certain class of Le Roy type functions, by Abhinav Sharma and 3 other authors View PDF HTML (experimental) TeX Source view license Current browse context: math.CV < prev | next > new | recent | 2025-03 Change to browse by: math References & Citations NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer ( What is the Explorer? ) Connected Papers Toggle Connected Papers ( What is Connected Papers? ) Litmaps Toggle Litmaps ( What is Litmaps? ) scite.ai Toggle scite Smart Citations ( What are Smart Citations? ) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv ( What is alphaXiv? ) Links to Code Toggle CatalyzeX Code Finder for Papers ( What is CatalyzeX? ) DagsHub Toggle DagsHub ( What is DagsHub? ) GotitPub Toggle Gotit.pub ( What is GotitPub? ) Huggingface Toggle Hugging Face ( What is Huggingface? ) ScienceCast Toggle ScienceCast ( What is ScienceCast? ) Demos Demos Replicate Toggle Replicate ( What is Replicate? ) Spaces Toggle Hugging Face Spaces ( What is Spaces? ) Spaces Toggle TXYZ.AI ( What is TXYZ.AI? ) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower ( What are Influence Flowers? ) Core recommender toggle CORE Recommender ( What is CORE? ) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs . Which authors of this paper are endorsers? | Disable MathJax ( What is MathJax? ) We gratefully acknowledge support from our major funders , member institutions , , and all contributors. About · Help · Contact · Subscribe · Copyright · Privacy · Accessibility · Operational Status (opens in new tab) Major funding support from

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