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International Journal of Scientific and Research Publications, Volume 2, Issue 10, October 2012 37
ISSN 2250-3153
cosh y cosh z
−
We also expand (1-cosh x- t 1− t ) -α1 by taking = (1-cosh x) -α1 as factor but that will only reduce F E to F 4 .
Similarly, we have F G (α 1 , α 1 , α 1 , β 1 , β 2 , β 3 ; γ 1 , γ 2 , γ 3 ; cosh x, cosh y, cosh z)
( α )
( β )
( β ) ( β )
∑ ∞
1 m+
n+
p 1 m 2 n
m n=
o m ! n!(
)
m(
n=
p
= )
, γ
1
γ
2
3
p
cosh m x cosh n y cosh p z (1.3.8)
absolutely convergent if m + n = 1 and m + p = 1 while
|cosh x|