Minimal cyclic random motion in and hyper-Bessel functions
A. Lachal; S. Leorato; E. Orsingher
Annales de l'I.H.P. Probabilités et statistiques (2006)
- Volume: 42, Issue: 6, page 753-772
- ISSN: 0246-0203
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top- [1] A. Di Crescenzo, Exact transient analysis of a planar motion with three directions, Stochastics Stochastics Rep.72 (3–4) (2002) 175-189. Zbl0997.60058MR1897914
- [2] V. Kiryakova, Generalized Fractional Calculus and Applications, Pitman Res. Notes in Math. Ser., vol. 301, Longman Scientific & Technical, Harlow, 1994, (copublished in the United States with John Wiley & Sons, Inc., New York). Zbl0882.26003MR1265940
- [3] A.D. Kolesnik, Equations of Markov random evolutions, Doctoral thesis, University of Kiev, 1991 (in Russian).
- [4] S. Leorato, E. Orsingher, Bose–Einstein-type statistics, order statistics and planar random motions with three directions, Adv. Appl. Probab.36 (3) (2004) 937-970. Zbl1066.60098MR2079922
- [5] S. Leorato, E. Orsingher, M. Scavino, An alternating motion with stops and the related planar, cyclic motion with four directions, Adv. Appl. Probab.35 (4) (2003) 1153-1168. Zbl1049.60094MR2014274
- [6] E. Orsingher, Bessel functions of third order and the distribution of cyclic planar motions with three directions, Stochastics Stochastics Rep.74 (3–4) (2002) 617-631. Zbl1015.60040MR1943582
- [7] E. Orsingher, A.M. Sommella, A cyclic random motion in with four directions and finite velocity, Stochastics Stochastics Rep.76 (2) (2004) 113-133. Zbl1048.60084MR2060347
- [8] I.V. Samoilenko, Markovian random evolutions in , Random Oper. Stochastic Equations9 (2) (2001) 139-160. Zbl0976.60074MR1832161
- [9] I.V. Samoilenko, Analytical theory of Markov random evolutions in , Doctoral thesis, University of Kiev, 2001 (in Russian).
- [10] A.F. Turbin, D.Ya. Plotkin, Higher-order Bessel equation and functions, in: Asymptotic Methods in Problems in the Theory of Random Evolutions, Akad. Nauk Ukrain. SSR, Inst. Mat., Kiev, 1991, pp. 112-121, (in Russian). MR1190488