The Parabolic-Trigonometric Functions
G. Dattoli, M. Migliorati, M. Quattromini, P. E. Ricci
TL;DR
This paper introduces parabolic-trigonometric functions, explores their properties and geometric interpretation, and discusses potential generalizations and connections with modular elliptic functions.
Contribution
It presents the novel concept of parabolic-trigonometric functions and analyzes their properties and relationships with existing mathematical functions.
Findings
Defined parabolic-trigonometric functions and their properties
Established geometric interpretation of these functions
Explored links with modular elliptic functions
Abstract
The parabolic functions are introduced in analogy to the circular and hyperbolic cases. We discuss the relevant properties, the geometrical interpretation and touch on possible generalizations and their link with the modular elliptic functions.
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Taxonomy
TopicsDifferential Equations and Boundary Problems · Algebraic and Geometric Analysis · Mathematical functions and polynomials