Applications of δ Continuous Function
DOI:
https://doi.org/10.31185/wjps.645Keywords:
δ-Continuous functions,Abstract
This paper introduces a new class of functions, termed δ-continuous functions, and investigates their fundamental characterizations and properties. Particular attention is given to their connections with other well-known classes of functions in topology and functional analysis. δ-1-continuity, viewed as a natural extension of classical continuity, provides a broader framework that captures settings where standard continuity may be insufficient. This generalization proves especially relevant in the study of spaces with distinctive structural features or in abstract mathematical contexts. The findings not only enrich the theory of generalized continuity but also highlight the potential applications of δ-1-continuous functions in advancing mathematical analysis.
References
[1] MB. Ahmad. "Class of meromorphic functions partially shared values with their differences or shifts". arXive:2108.07562vl[math.CV]. 17 aug 2021. https://doi.org/10.48550/arXiv.2108.07562
[2] L. Cotirla and A. Totoi, "On classes of meromorphic functions defined by subordination and convolution". Symmetry. Vol. 15, no.1763, 2023. https://doi.org/10.3390/sym15091763
[3] PL. Duren." Univalent Functions". Springer-Verlag New York Berlin Heidelberg Tokyo. 2001.
[4] JA. Jenkins." Univalent functions and conformal mapping". Springer-Verlag, Berlin Gottingen Heidelberg. 1958. https://doi.org/10.1007/978-3-662-34447-7
[5] MH. Lafta. "Some geometric properties for a certain class of meromorphic univalent functions by differential operator". Iraqi Journal of Science. Vol. 62, no.8, pp.2667-2675, 2021. https://doi.org/10.24996/ijs.2021.62.8.19
[6] AY. Lashin. "On certain subclasses of meromorphic functions associated with certain integral operators", CMA., vol. 59, pp524-531, 2010. https://doi.org/10.1016/j.camwa.2009.06.015
[7] X. Liu. "A class of meromorphic functions with Yang's conjecture concerning periodicity". Mediterr. J. Math., vol. 21, no. 82, 2024. https://doi.org/ 10.1007/s00009-024-02627-y
[8] SGA Shah, S. Noor, M. Darus and WU. Haq and S. Hussain S. "On meromorphic functions defined by a new class of Liu-Srivastava integral operator". IJAA, vol. 18, no.6, pp.1056-1065, 2020. https://doi.org/10.28924/2291-8639
[9] V. Srinivas , S. Lalitha and KV. Sitavani . "On a certain class of mromorphic functions"., IJAEM.vol. 4, no. 8, pp. 784-786, 2022.
[10] B. Venkateswarlu, PT. Reddy, NI. Rajkumar and S. SreelakshmiS. "On a subclass of meromorphic functions with positive coefficients defined by rapid operator". PJM. Vol. 41, no. 3, pp. 553-568, 2022. https://doi.org/10.22199/issn.0717-6279-3933
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Copyright (c) 2025 Zahraa Mohsen, Ali Khalaf Hussain
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