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Glaisher notation

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1: 22.1 Special Notation
The notation sn ( z , k ) , cn ( z , k ) , dn ( z , k ) is due to Gudermann (1838), following Jacobi (1827); that for the subsidiary functions is due to Glaisher (1882). Other notations for sn ( z , k ) are sn ( z | m ) and sn ( z , m ) with m = k 2 ; see Abramowitz and Stegun (1964) and Walker (1996). …
2: 22.4 Periods, Poles, and Zeros
§22.4(ii) Graphical Interpretation via Glaisher’s Notation
3: 22.2 Definitions
Glaisher’s Notation
4: 20.7 Identities
Also, in further development along the lines of the notations of Neville (§20.1) and of Glaisher22.2), the identities (20.7.6)–(20.7.9) have been recast in a more symmetric manner with respect to suffices 2 , 3 , 4 . …