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relation to Gudermannian function

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1: 19.10 Relations to Other Functions
In each case when y = 1 , the quantity multiplying R C supplies the asymptotic behavior of the left-hand side as the left-hand side tends to 0. For relations to the Gudermannian function gd ( x ) and its inverse gd - 1 ( x ) 4.23(viii)), see (19.6.8) and …
2: 19.6 Special Cases
3: 22.16 Related Functions
22.16.4 am ( x , 0 ) = x ,