Browse > Article
http://dx.doi.org/10.14317/jami.2018.541

A STUDY ON q-SPECIAL NUMBERS AND POLYNOMIALS WITH q-EXPONENTIAL DISTRIBUTION  

KANG, JUNG YOOG (Department of Mathematics Education, Silla University)
Publication Information
Journal of applied mathematics & informatics / v.36, no.5_6, 2018 , pp. 541-553 More about this Journal
Abstract
We introduce q-special numbers and polynomials with q-exponential distribution. From these numbers and polynomials we derive some properties and identites. We also find approximated zeros of q-special polynomials and investigate property of two parameters ${\lambda}$, q.
Keywords
q-expoential distribution; q-special polynomials;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 C.S. Ryoo, Differential equations associated with twisted (h, q)-tangent polynomials, J. Appl. Math. & Informatics 36 (2018), 205-212.
2 W.M. Albert, O. Ingram, A multivatiate exponential distribution, Boeing scientific research laboratories 450 March (1966).
3 M. Ahsanullah, Linear prediction of record values for the two parameter exponential distribution, Ann. Inst. Stat. Math. 32 (1980), 363368.   DOI
4 B.C. Arnold, N. Balakrishnan, H.N. Nagaraja, Records, New York: John Wiley.
5 B. Epstein, The exponential distribution and its role in life testing, Industrial Quality Control 15 (1958), 2-7.
6 T.S. Ferguson, A characterization of the exponential distribution, Ann. Math. Statist 35 (1964), 1199-1207.   DOI
7 J.E. Freund, A bivariate extension of the exponential distribution, J. Amer. Statist. Assoc. 56 (1961), 971-977.   DOI
8 E.J. Gumbel, Bivariate exponential distributions, J. Amer. Statist. Assoc. 55 (1960), 698-707.   DOI
9 Ira Gessel, Richard P. Stanley, Stirling polynomials, Journal of Combinatorial Theory, Series A 24 (1978), 24-33.
10 N. Glick, Breaking record and breaking boards, Amer. Math. 85 (1978), 226.
11 J.Y. Kang, Some properties of q-Euler polynomials using q-derivative and q-integral, Far East Journal of Mathematical Sciences 102 (11) (2017) 2687-2699.   DOI
12 J.Y. Kang, C.S. Ryoo, A research on the new polynomials involved with the central factorial numbers, Stirling numbers and others polynomials, Journal of Inequalities and Applications 2014, 2014:26 doi:10.1186/1029-242X-2014-26.   DOI
13 Lee-Chae Jang, A study on the distribution of twisted-Genocchi polynomials, Advanced Studies in Contemporary Mathematics 18 (2) (2009), 181189.
14 V. Nevzorov, Records: mathematical theory, Translation of Mathematical Monographs. Amer. Math. Soc., (2001) 194: Providence, RI.
15 C.S. Ryoo, On degenerate q-tangent polynomials of higher order, J. Appl. Math. & Informatics 35 (2017), 113-120.   DOI