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Linear recurrence relations

2013
Walter Gautschi is a giant in the field of linear recurrence relations. His concern is with stability in computing solutions \( \{y_{n}\}_{n=0}^{\infty} \) of such equations. Suppose the recurrence relation is of the form $$\displaystyle{ y_{n+1} + a_{n}y_{n} + b_{n}y_{n-1} = 0\qquad \mbox{ for}\quad n = 1,2,3,\ldots.}$$ (21.1) It seems so ...
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Implementation of the recurrence relations of biorthogonality

Numerical Algorithms, 1992
General algorithms for computing some generalized Padé-type approximants are given. The quality of the used approximants depends on the choosen functionals for measuring the quality. In the classical example of the series \(f(b)=\log(1+t)/t\) functionals are found which give better results than the usual ones.
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Recurrence Relations for Powers

1979
Publisher Summary This chapter explains the recurrence relations for powers. It presents the solution of equations of the form xp = N, where N is a given number, 0 < N < 1, and p is a real number, ½, ⅓, −1, for instance. The chapter discusses various sequences {xn} whose limit is the solution and whose terms are defined by recurrence relations ...
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A recurrence relation for inclination functions

Celestial Mechanics, 1971
When the terms of the series expansion for the gravitational potential of the Earth are expressed in terms of the orbital elements of an arbitrary Earth satellite, the orbital inclination,i, appears in each, term as the argument of a function of inclination only.
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Drug-related recurrent meningitis

Journal of Infection, 1988
A 56-year-old man presented with recurrent smear and culture-negative meningitis having ingested Ibuprofen before each episode. The association between Ibuprofen and meningitis has been well established in systemic lupus erythematosus but has been reported only rarely in previously healthy patients.
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On recurrence relations for order statistics

Statistics & Probability Letters, 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the logarithmic evaluation of recurrence relations

Information Processing Letters, 1991
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Linear Recurrence Relations

2018
In this chapter we complete the work initiated in Section 3.2 of [8] (see also Problems 5, page 79, and 6, page 31), showing how to solve a linear recurrence relation with constant coefficients and arbitrary order. We first need to properly define the objects involved, and we do this now.
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American Cancer Society nutrition and physical activity guideline for cancer survivors

Ca-A Cancer Journal for Clinicians, 2022
Cheryl L Rock   +2 more
exaly  

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