珍奇 发表于 2025-3-25 06:10:44
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History and biography invited talks should be dedicated to Euler and Euler’s work. Fortunately, Walter Gautschi accepted this invitation and presented a fascinating talk on Euler’s life, his personality, an overview of his work and some selected topics in more detail. This took place in the largest lecture hall (the “TuResistance 发表于 2025-3-25 18:41:49
Linear recurrence relationsose the recurrence relation is of the form . It seems so deceivingly natural to start with values or expressions for .. and .., and then compute .., . successively from (21.1). However, this does not always work. Still, in every new generation of mathematicians or users of mathematics, along come so滔滔不绝的人 发表于 2025-3-25 21:05:41
Ordinary differential equationst contributions to science can be looked at in other, more perceptive, ways. I believe this is especially true of . This paper is forward-looking to the extent that its importance has become recognised more and more as time has passed. In my opinion the impact of this contribution has been trem陈列 发表于 2025-3-26 03:02:56
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0884-7037 s on Euler and Christoffel, as well as biographical essays o.Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowne皮萨 发表于 2025-3-26 13:56:54
Linear recurrence relations, is to start with Walter Gautschi’s . paper on three-term recurrence relations from 1967. This is what most people do, and this is what I did when I started my study of continued fractions. Continued fractions and recurrence relations indeed share a substantial intersection which, however, calls for some degree of alertness.spinal-stenosis 发表于 2025-3-26 19:52:26
Ordinary differential equationsd to modern approaches to the solution of highly-oscillatory problems. The ideas and results in the original paper have been rediscovered independently by later authors, but the depth and scholarship in Gautschi’s exposition are unmatched. Here are the key definitions near the start of the paper.