A Family of Generalized Legendre-Based Apostol-Type Polynomials
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DOI: 10.3390/axioms11010029
Abstract: Numerous polynomials, their extensions, and variations have been thoroughly explored, owing to their potential applications in a wide variety of research fields. The purpose of this work is to provide a unified family of Legendre-based… read more here.
Keywords: generalized legendre; legendre based; apostol; family generalized ... See more keywords
Higher Order Hamiltonian Systems with Generalized Legendre Transformation
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DOI: 10.3390/math6090163
Abstract: The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found. The generalized Legendre transformation… read more here.
Keywords: legendre transformation; order hamiltonian; transformation; generalized legendre ... See more keywords