S. E. Akrami

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math.GM2011

On the Eigenvalues of the Operator $(T f) (t) = f (t) - \sum_{n = 0}^{\infty} \frac{f ^{(n)} ( 0 )}{n !} t^{n}$

S. E. Akrami

We show that the only eigenvalues of this operator are 0 and 1.

math.GM2011

On the Series $\sum_{n = 0}^{\infty} t^{n} f^{(n)} (t) (- 1)^{n} / n!$

S. E. Akrami

We study the series $\sum_{n = 0}^{\infty} \frac{( - 1 ) ^{n}}{n !} t^{n} f^{(n)} (t)$ . We show that for analytic functions this series is uniformly and absolutely convergent to the constant $f(0…

On the Eigenvalues of the Operator (Tf)(t)=f(t)−∑n=0∞​n!f(n)(0)​tn

On the Series ∑n=0∞​tnf(n)(t)(−1)n/n!

On the Eigenvalues of the Operator $(T f) (t) = f (t) - \sum_{n = 0}^{\infty} \frac{f ^{(n)} ( 0 )}{n !} t^{n}$

On the Series $\sum_{n = 0}^{\infty} t^{n} f^{(n)} (t) (- 1)^{n} / n!$