Sum of fractional series through extended q-difference operators
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Abstract
In this paper, we define the extended q-difference operator, q-polynomial factorial and inverse of the extended
q-difference operator and obtain the relation between shift operator and extended q-polynomial factorials. Also,
we obtain the formula for some fractional series of arithmetic and geometric progressions in the field of Numerical
Methods using the inverse of extended q-difference operator. Suitable examples are provided to illustrate the
main results.
Keywords:
Extended q-difference operator, Finite Series, Infinite Series, Polynomial factorialMathematics Subject Classification:
Mathematics- Pages: 465-469
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
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