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Volumn 83, Issue 6, 2011, Pages

Lévy stable two-sided distributions: Exact and explicit densities for asymmetric case

Author keywords

[No Author keywords available]

Indexed keywords

ASYMMETRY PARAMETER; DISORDERED SYSTEM; ECONOPHYSICSS; EXPLICIT SOLUTIONS; HEAVY-TAILED; HUMAN RELATIONS; INTERNET TRAFFIC; STATISTICAL DATAS;

EID: 79961093128     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.83.061125     Document Type: Article
Times cited : (60)

References (33)
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    • In the Maple® procedure L2S below: p=-1(1) for lk). d:= proc(n, a) option remember; seq((a+i0)/n, i0 =0.n-1); end; L2S:= proc(l, k, r, p, x) option remember; local m, M, c; m:= min(l, k); M:= max(l, k); c:= (2*Pi) (r-(l+k)/2)* M (1/2-j)* m (1/2+j* m/M)* product(sin(Pi* (i1/r-j/M))/Pi, i1=0.r-1)* product(GAMMA((i2-j-1)/M) , i2=1.j)* product(GAMMA((i3-j-1)/M), i3=j+2.M)* product(GAMMA(j/M+(i4+1)/m), i4=0.m-1); sum(c* x (-1+ p* j* l/M)* hypergeom([1, d(m, 1+j* m/M)], [d(M, j+1)], (-1) (r-M)* m m/M M* x (p* l)), j=1.M-1); end;.
    • In the Maple® procedure L2S below: p = -1(1) for l < k (l > k). d: = proc(n, a) option remember; seq((a + i0)/n, i0 = 0..n-1); end; L2S: = proc(l, k, r, p, x) option remember; local m, M, c; m: = min(l, k); M: = max(l, k); c: = (2 * Pi) (r-(l + k)/2) * M (1/2-j) * m (1/2 + j * m/M) * product(sin(Pi * (i1/r-j/M))/Pi, i1 = 0..r-1) * product(GAMMA((i2-j-1)/M), i2 = 1..j) * product(GAMMA((i3-j-1)/M), i3 = j + 2..M) * product(GAMMA(j/M + (i4 + 1)/m), i4 = 0..m-1); sum(c * x (-1 + p * j * l/M) * hypergeom([1, d(m, 1 + j * m/M)], [d(M, j + 1)], (-1) (r-M) * m m/M M * x (p * l)), j = 1..M-1); end; .
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.