Guys can someone help me this question might be a little tricky just came across my assignment what are error functions and complementary error function and their transforms? Is there a derivation of these formulas?

Question

ijlal · Answer

the topic i was studying was laplace transform techniques and came across this

ijlal · Answer

@pooja195  @Kainui  @ganeshie8  @zepdrix

reemii · Answer

https://en.wikipedia.org/wiki/Error_function The definition of error function (err) and complementary error function (erfc) are at the top of the page.

ijlal · Answer

@reemii  do you know the derivation of this these formulas? i also need to know the derivation

ijlal · Answer

the source of wikipedia that you shared just mentions the formula not the derivation :/

reemii · Answer

At this point, it seems that they are not derived, these are definitions.

ijlal · Answer

Oh well thank you then :)

reemii · Answer

the L-transform of the error function (thanks wikipedia) is in that table https://en.wikipedia.org/wiki/Laplace_transform#Table_of_selected_Laplace_transforms .

reemii · Answer

last line of the table

reemii · Answer

Is this what you want to compute?

ijlal · Answer

ya well thank you :)

reemii · Answer

At least you know where you're going… good luck :-)