Inequalities for the Psi and k-Gamma functions

  • Abstract
  • Keywords
  • References
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  • Abstract

    In this paper, the authors establish some inequalities involving the Psi and k-Gamma functions. The procedure utilizes some monotonicity properties of some functions associated with the Psi and k-Gamma functions.

    Keywords: Gamma function, k-Gamma function, Psi function, Inequality.

    MSC: 33B15, 26A48.

  • References

    1. R. Diaz and E. Pariguan, On hypergeometric functions and Pachhammer k-symbol, Divulgaciones Matemticas 15(2)(2007), 179-192.
    2. V. Krasniqi, T. Mansour and A. Sh. Shabani, Some Monotonicity Properties and Inequalities for T and C Functions, Mathematical Communications 15(2)(2010), 365-376.
    3. V. Krasniqi, A. Sh. Shabani, Convexity Properties and Inequalities for a Generalized Gamma Function, Applied Mathematics E-Notes 10(2010), 27-35.
    4. T. Mansour, Some inequalities for the q-Gamma Function, J. Ineq. Pure Appl. Math. 9(1)(2008), Art. 18.
    5. K. Nantomah and M. M. Iddrisu, The k-Analogue of Some Inequalities for the Gamma Function, Electron. J. Math. Anal. Appl. 2(2)(2014), 172-177.
    6. A. Sh. Shabani, Generalization of some inequalities for the Gamma Function, Mathematical Communications 13(2008), 271-275.




Article ID: 3608
DOI: 10.14419/gjma.v2i4.3608

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