Identities of Dedekind eta function

lanxiyu · 2023-11-29 21:54:34

Definition of Euler q-series:

Definition of Dedekind eta function:

Definition of modular lambda function:

Identities:

Logarithmic derivative of Rogers-Ramanujan continued fraction:

Limits:

Hypergeometric function representations:

Integral transformations:

Integral representations $equation?tex=%5Cleft(%7B%5Crm%20assumes%7D%5C%20%5Cleft%7Cq%5Cright%7C%3C1%5Cright)$ :

Integral representations $equation?tex=%5Cleft(%7B%5Crm%20assumes%7D%5C%20%5Coperatorname%7BIm%7D%5Cleft(%5Ctfrac%7B%5Comega_3%7D%7B%5Comega_1%7D%5Cright)%3E0%5Cright)$ :

Related to Q-functions and Weber Functions:

References:
Weierstrass functions
Zeros in η'(τ): 67f2ef, be9790

Last edited by lanxiyu (2025-06-18 22:02:20)

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#1 2023-11-29 21:54:34

Identities of Dedekind eta function

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