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2003•Journal of Computational and Applied MathematicsRequires access

Some monotonicity results on the zeros of the generalized Laguerre polynomials

NataliniPierpaolo, PalumboBiagio

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Abstract

Some monotonicity results for the function f(α)xn,k(α), where xn,k(α) is the kth zero of generalized Laguerre polynomial Ln(α)(x) and f(α) is a suitable function of α, are derived by means of the c...

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Some monotonicity results for the function f(α)xn,k(α), where xn,k(α) is the kth zero of generalized Laguerre polynomial Ln(α)(x) and f(α) is a suitable function of α, are derived by means of the c...

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Available abstract

Some monotonicity results for the function f(α)xn,k(α), where xn,k(α) is the kth zero of generalized Laguerre polynomial Ln(α)(x) and f(α) is a suitable function of α, are derived by means of the c...

Key concepts: Laguerre polynomials, Mathematics, Monotonic function, Function (biology), Polynomial, Zero (linguistics), Laguerre's method, Pure mathematics

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