On the normalization of trigonometric and hyperbolic B-splines
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DOI: 10.1007/s10444-025-10252-w
Abstract: Trigonometric and hyperbolic B-splines can be computed via recurrence relations analogous to the classical polynomial B-splines. However, in their original formulation, these two types of B-splines do not form a partition of unity and consequently… read more here.
Keywords: usepackage; hyperbolic splines; trigonometric hyperbolic; normalization trigonometric ... See more keywords
Some Transcendental Equations with Trigonometric and Hyperbolic Functions
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DOI: 10.1134/s1995080218020130
Abstract: Eigenvalues of many spectral problems for differential equations are the roots of transcendental equations. In this article we prove the statements about the roots of some equations with trigonometric and hyperbolic functions. These equations have… read more here.
Keywords: transcendental equations; hyperbolic functions; equations trigonometric; trigonometric hyperbolic ... See more keywords
Bound states for generalized trigonometric and hyperbolic Pöschl–Teller potentials
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DOI: 10.1142/s0217751x22500129
Abstract: We use the “tridiagonal representation approach” to solve the time-independent Schrödinger equation for the bound states of generalized versions of the trigonometric and hyperbolic Pöschl–Teller potentials. These new solvable potentials do not belong to the… read more here.
Keywords: schl teller; hyperbolic schl; trigonometric hyperbolic; states generalized ... See more keywords