Author's: Demetrios P. Kanoussis
Pages: [1] - [26]
Received Date: January 10, 2017
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100121758
A new expansion of a function, inspired by the Taylor series
expansion, is introduced, and various examples of functions admiting
such new expansion, are given. In addition, it is shown that the new
expansion, when applied to functions being completely monotonic, leads
to some quite interesting results and applications. Finally, a new
approach is suggested towards obtaining the solution of the difference
equation and examples involving the gamma and psi
functions are given.
difference operators, difference equations, complete monotonicity, gamma function, digamma (or psi) function.