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Table of Integrals, Series, and Products, 8th Edition by Daniel Zwillinger

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Functional relations

8.154

1. 

sn2u=1cn2u1+dn2u

si201_e  MO 146

2. 

cn2u=cn2u+dn2u1+dn2u

si202_e  MO 146

3. 

dn2u=dn2u+k2cn2u+k21+dn2u

si203_e  MO 146

4. 

sn2u+cn2u=1

si204_e  SI 16(9)

5. 

dn2u+k2sn2u=1

si205_e  SI 16(9)

8.155

1. 

1dn2u1+dn2u=k2sn2ucn2udn2u

  MO 146

2. 

1

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