Analysis and Validation of a New Function Combining Algebraic, Trigonometric, and Physical Modeling

This paper presents a novel mathematical function that integrates algebraic and trigonometric components, aiming to explore its analytical properties, physical implications, and potential applications. We analyze the function's derivatives, boundary conditions, and its relation to differential equations. The function is validated through analytical techniques, ensuring mathematical consistency and possible real-world interpretations. This research contributes to the study of generalized mathematical models applicable in physics and engineering.

Originality and AI-use statement:
This work is an original research output by Begüm Yıldırım. AI tools, if used, were limited to language refinement, grammar correction, formatting, translation assistance, and clarity improvement. The conceptual framework, research direction, interpretation, models, and conclusions belong to the author. External sources, datasets, or prior works are cited where applicable.