query: Taylor's Series with Fibonacci coefficients
positive_passages.docid: 130820
positive_passages.text: The generating function for the Fibonacci numbers
negative_passages.docid: 47509
negative_passages.text: What are the practical applications of the Taylor Series?
negative_passages.docid: 83517
negative_passages.text: Taylor series of Infinitely differentiable function with nonnegative derivatives
negative_passages.docid: 6465
negative_passages.text: How to prove periodicity of $\sin(x)$ or $\cos(x)$ starting from the Taylor series expansion?
negative_passages.docid: 3424
negative_passages.text: Use taylor series to arrive at the expression f'(x)=1/h[-3*f(x)/2+2f(x+h)-f(x+2h)/2]
negative_passages.docid: 126762
negative_passages.text: taylor series of $\ln(1+x)$?
negative_passages.docid: 94843
negative_passages.text: What is the Taylor series of a square root?
negative_passages.docid: 141401
negative_passages.text: ${a_n}$ series of Fibonacci numbers. $f(x)=\sum_{0}^{\infty}a_nx^n$, show that in the convergence radius: $f(x)= \frac{1}{1-x-x^2}$
negative_passages.docid: 42708
negative_passages.text: Numerical Differentiation using Taylor series
negative_passages.docid: 31721
negative_passages.text: Series with specific notation
negative_passages.docid: 14784
negative_passages.text: Inductive proof of the closed formula for the Fibonacci sequence
negative_passages.docid: 112948
negative_passages.text: Fibonacci addition law $F_{n+m} = F_{n-1}F_m + F_n F_{m+1}$
negative_passages.docid: 74596
negative_passages.text: Coefficient growth in the power series $\sum u_n z^n = e^{1/(1-z)}$?
negative_passages.docid: 88907
negative_passages.text: Solving Fibonaccis Term Using Golden Ratio ConvergEnce
negative_passages.docid: 23945
negative_passages.text: Infinite Series: Fibonacci/ $2^n$
negative_passages.docid: 55853
negative_passages.text: Proof using Taylor's theorem
negative_passages.docid: 30273
negative_passages.text: Fibonacci Recurrence Relations