A Note on $k$-Gamma Function and Pochhammer $k$-Symbol

Authors

  • Shahid Mubeen Department of Mathematics, University of Sargodha, Sargodha
  • Abdur Rehman Department of Mathematics, University of Sargodha, Sargodha

DOI:

https://doi.org/10.26713/jims.v6i2.252

Keywords:

Factorial function, Pochhammer $k$-symbol, $k$-Gamma function

Abstract

In this note, we discuss some extended results involving the Pochhammer's symbol and express the multiple factorials in terms of the said symbol. We prove the $k$-analogue of Vandermonde's theorem which contains the binomial theorem as a limiting case. Also, we introduce some limit formulae involving the $k$-symbol and prove the $k$-analogue Gauss multiplication and Legendere's duplication theorems by using these formulae.

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References

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Published

2014-12-31
CITATION

How to Cite

Mubeen, S., & Rehman, A. (2014). A Note on $k$-Gamma Function and Pochhammer $k$-Symbol. Journal of Informatics and Mathematical Sciences, 6(2), 93–107. https://doi.org/10.26713/jims.v6i2.252

Issue

Vol. 6 No. 2 (2014)

Section

Research Article

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