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dbr:Gosper's_algorithm
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Gosper's algorithm Algoritmo de Gosper
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En matemáticas, el algoritmo de Gosper es un método para encontrar sumas de términos hipergeométricos que son términos hipergeométricos por sí mismos. Esto es: se supone que tenemos a(1) + ... + a(n) = S(n) - S(0), donde S(n) es un término hipergeométrico (i.e., S(n+1)/S(n) es una función racional de n); entonces, necesariamente a(n) es en sí mismo un término hipergeométrico, y, dada la fórmula para a(n), el algoritmo de Gosper lo encuentra para S(n). In mathematics, Gosper's algorithm, due to Bill Gosper, is a procedure for finding sums of hypergeometric terms that are themselves hypergeometric terms. That is: suppose one has a(1) + ... + a(n) = S(n) − S(0), where S(n) is a hypergeometric term (i.e., S(n + 1)/S(n) is a rational function of n); then necessarily a(n) is itself a hypergeometric term, and given the formula for a(n) Gosper's algorithm finds that for S(n).
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dbo:abstract
En matemáticas, el algoritmo de Gosper es un método para encontrar sumas de términos hipergeométricos que son términos hipergeométricos por sí mismos. Esto es: se supone que tenemos a(1) + ... + a(n) = S(n) - S(0), donde S(n) es un término hipergeométrico (i.e., S(n+1)/S(n) es una función racional de n); entonces, necesariamente a(n) es en sí mismo un término hipergeométrico, y, dada la fórmula para a(n), el algoritmo de Gosper lo encuentra para S(n). In mathematics, Gosper's algorithm, due to Bill Gosper, is a procedure for finding sums of hypergeometric terms that are themselves hypergeometric terms. That is: suppose one has a(1) + ... + a(n) = S(n) − S(0), where S(n) is a hypergeometric term (i.e., S(n + 1)/S(n) is a rational function of n); then necessarily a(n) is itself a hypergeometric term, and given the formula for a(n) Gosper's algorithm finds that for S(n).
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