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Far East Journal of Applied Mathematics

Abstract:
The authors define generalised difference operators

the weighted Pochhammer symbols

and its inverse

for the positive integer

to establish a formula and a method to find the generalised Bernoulli polynomial

which is a solution to the generalised difference equation

and yields

Suitable examples are given to illustrate the main results.

Keywords and phrases: generalised difference equations, generalised Bernoulli polynomials, generalised Pochhammer symbols.

Number of Downloads: 390 | Number of Views: 1282

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