Browse > Article
http://dx.doi.org/10.5831/HMJ.2016.38.1.9

INEQUALITIES FOR THE (q, k)-DEFORMED GAMMA FUNCTION EMANATING FROM CERTAIN PROBLEMS OF TRAFFIC FLOW  

Nantomah, Kwara (Department of Mathematics, University for Development Studies, Navrongo Campus)
Prempeh, Edward (Department of Mathematics, Kwame Nkrumah University of Science and Technology)
Publication Information
Honam Mathematical Journal / v.38, no.1, 2016 , pp. 9-15 More about this Journal
Abstract
In this paper, the authors establish some double inequalities concerning the (q, k)-deformed Gamma function. These inequalities emanate from certain problems of traffic flow. The procedure makes use of the integral representation of the (q, k)-deformed Gamma function.
Keywords
Gamma function; q-deformed Gamma function; k-deformed Gamma function; (q, k)-deformed Gamma function; q-integral; Inequality;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 R. Askey, The q-Gamma and q-Beta Functions, Appl. Anal. 8(2)(1978), 125-141.   DOI
2 W. S. Chung, T. Kim and T. Mansour, The q-deformed Gamma function and q-deformed Polygamma function, Bull. Korean Math. Soc. 51(4)(2014), 1155-1161.   DOI
3 R. Diaz and E. Pariguan, On hypergeometric functions and Pachhammer k-symbol, Divulg. Mat., 15(2)(2007), 179-192.
4 R. Diaz and C. Teruel, q, k-generalized gamma and beta functions, J. Nonlinear Math. Phys., 12(2005), 118-134.   DOI
5 I. Ege, E. Yyldyrym, Some generalized equalities for the q-gamma function, Filomat, 26(6)(2012), 1221-1226.
6 H. Elmonster, K. Brahim, A. Fitouhi, Relationship between characterizations of the q-Gamma function, J. Inequal. Spec. Funct., 3(4)(2012), 50-58.
7 F. H. Jackson, On a q-Definite Integrals, Quart. J. Pure Appl. Math., 41(1910), 193-203.
8 J. Lew, J. Frauenthal, N. Keyfitz, On the Average Distances in a Circular Disc, SIAM Rev., 20(3)(1978), 584-592.   DOI
9 K. Nantomah, Some Inequalities for the Ratios of Generalized Digamma Functions, Adv. Inequal. Appl., 2014(2014), Article ID 28.
10 K. Nantomah and E. Prempeh, Certain Inequalities Involving the q-Deformed Gamma Function , Probl. Anal. Issues Anal., 4(22)(1)(2015), 57-65.
11 F. Qi, and Q. M. Luo, Bounds for the ratio of two Gamma functions - From Wendel's and related inequalities to logarithmically completely monotonic functions, Banach J. Math. Anal., 6(2)(2012), 123-158.
12 J. Sandor, On certain inequalities for the Gamma function, RGMIA Res. Rep. Coll. 9(1)(2006), Art. 11.
13 J.G. Wendel, Note on the gamma function, Amer. Math. Monthly, 55(1948), 563-564.   DOI