Hadamard Thm: Show F w/ Non-Int Growth Order Has Inf Zeros

justin_huang · 2011-06-03T09:07:42+00:00

How can I use hadamard theorem to show that if F is entire and of growth order p that is non-integer, then F has infinitely many zeros...?

Thread 'How does time derivative commute from one variable to another?'

I'm reviewing Meirovitch's "Methods of Analytical Dynamics," and I don't understand the commutation of the derivative from r to dr: $$ \mathbf{F} \cdot d\mathbf{r} = m \ddot{\mathbf{r}} \cdot d\mathbf{r} = m\mathbf{\dot{r}} \cdot d\mathbf{\dot{r}} $$

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Thread 'How does time derivative commute from one variable to another?'

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