Fractional Taylor Series
With the emergence of fractional calculus, a natural question arises about what the Taylor Series expansion would be. Odibat and Shawagfeh answered this in 2007. By using the Caputo fractional derivative, and indicating the limit as we approach from the right, the fractional Taylor series can be written as
Read more about this topic: Taylor Series
Famous quotes containing the words fractional, taylor and/or series:
“Hummingbird
stay for a fractional sharp
sweetness, and’s gone, can’t take
more than that.”
—Denise Levertov (b. 1923)
“Oh Sleep! it is a gentle thing,
Beloved from pole to pole!
To Mary Queen the praise be given!
She sent the gentle sleep from Heaven,
That slid into my soul.”
—Samuel Taylor Coleridge (1772–1834)
“A sophistical rhetorician, inebriated with the exuberance of his own verbosity, and gifted with an egotistical imagination that can at all times command an interminable and inconsistent series of arguments to malign an opponent and to glorify himself.”
—Benjamin Disraeli (1804–1881)