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1973
It is useful to be able to express a given function as a sum of functions of some specified type, for example as a sum of exponential functions. We have done this for smooth periodic functions: if u ∊ P, then $$u\left( x \right) = \sum\limits_{ - \infty }^\infty {{a_n}{e^{inx}},}$$ (1) where $${a_n} = \frac{1}{{2\pi }}\int_0^{2\pi } {u ...
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It is useful to be able to express a given function as a sum of functions of some specified type, for example as a sum of exponential functions. We have done this for smooth periodic functions: if u ∊ P, then $$u\left( x \right) = \sum\limits_{ - \infty }^\infty {{a_n}{e^{inx}},}$$ (1) where $${a_n} = \frac{1}{{2\pi }}\int_0^{2\pi } {u ...
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Solution of fractional order heat equation via triple Laplace transform in 2 dimensions
, 2017T. Khan, K. Shah, Amir Khan, R. Khan
semanticscholar +1 more source
On the Laplace Transform of the Lognormal Distribution
Methodology and Computing in Applied Probability, 2014S. Asmussen +2 more
semanticscholar +1 more source