In this paper, we introduce a new two-parameter deformation of the classical Gamma function, which we call a (p, k)-analogue of the Gamma function. We also provide some identities generalizing those satisfied by the classical Gamma function. Furthermore, we establish some inequalities involving this new function.
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2010 Mathematics Subject Classication.33B15, 26D07, 26D15.
aDepartment of Mathematics, University for Development Studies, Navrongo Campus, P. O. Box 24, Navrongo, UE/R, Ghana.
e-mail: mykwarasoft@yahoo.com, knantomah@uds.edu.gh stwum@uds.edu.gh
bDepartment of Mathematics, Kwame Nkrumah University of Science and Technology, Ku- masi, Ghana.
e-mail: eprempeh.cos@knust.edu.gh
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Nantomah, K., Prempeh, E. & Twum, S. On a (p; k)-analogue of the Gamma function and some associated Inequalities. Moroc J Pure Appl Anal 2, 6 (2016). https://doi.org/10.7603/s40956-016-0006-0
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DOI: https://doi.org/10.7603/s40956-016-0006-0