https://ijopcm.icsrs.uk/index.php/journal <p><strong>International Journal of Open Problems in Computer Science and Mathematics (IJOPCM) is a peer-reviewed journal, published four times a year that publishes articles which contribute new open problems in all areas of the computer science and mathematics. All the papers in the IJOPCM are refereed papers by two international reviewers. </strong><strong>All papers in IJOPCM are free reading and publishing articles </strong><strong>and we ask that you keep IJOPCM in mind when considering your next publication. This journal is going to be valuable and helpful for all researchers in computer science and mathematics.</strong></p> International Center for Scientific Research and Studies en-US International Journal of Open Problems in Computer Science and Mathematics 1998-6262 https://ijopcm.icsrs.uk/index.php/journal/article/view/59 <p>Many researchers in complex analysis have invested time particularly in investigating geometric properties like starlikeness and spirallikeness of analytic mappings on the unit disk. Finding the exact lengths of the radii in the starlike and or spirallike regions for these functions is very difficult since these shapes are not regular. This therefore requires that an estimation of the radii of these regions be carried out. This research seeks to estimate the radii within which analytic mappings in the unit disk remain starlike or spirallike. This note derives sharp radii estimates and constructs extremal functions achieving these estimates. The methodology involved using techniques of differential subordination, coefficient estimates, distortion theorems, and subordination principles. Moreover, algorithm development techniques were used as well as numerical methods to come up with pictorial representation of starlikeness and spirallikeness regions. Advancement of theoretical development of geometric function theory and also in providing sharp radii bounds useful in modeling involving conformal maps which enhances applications in engineering, fluid dynamics, and signal theory requires the results generated in this work.</p> Mofat Nyawalo Aminer Titus Benard Okelo Copyright (c) 2026 International Journal of Open Problems in Computer Science and Mathematics 2026-01-25 2026-01-25 19 2 1 29 https://ijopcm.icsrs.uk/index.php/journal/article/view/60 <p>Hyperstructures extend classical algebraic systems by allowing operations to return sets of possible results rather than single outputs. Iterating this idea across multiple layers of collections gives rise to superhyperstructures, which provide a natural framework for describing hierarchical and multilevel interactions. This work introduces two mixed higherorder frameworks: Mixed HyperStructures and Mixed SuperHyperStructures. In addition, I have included several open problems at the end of this paper.</p> Takaaki Takaaki Copyright (c) 2026 International Journal of Open Problems in Computer Science and Mathematics 2026-01-28 2026-01-28 19 2 30 40