Authors
JB Diaz, TJ Osler
Publication date
1974
Journal
Mathematics of Computation
Volume
28
Issue
125
Pages
185-202
Description
Derivatives of fractional order, , have been considered extensively in the literature. However, little attention seems to have been given to finite differences of fractional order, . In this paper, a definition of differences of arbitrary order is presented, and is computed for several specific functions f (Table 2.1). We find that the operator is closely related to the contour integral which defines Meijer’s G-function. A Leibniz rule for the fractional difference of the product of two functions is discovered and used to generate series expansions involving the special functions. References
Total citations
Scholar articles
JB Diaz, TJ Osler - Mathematics of Computation, 1974