hasWeierstrassProduct
P71179
predicate
Indicates that one mathematical object is represented or characterized by a Weierstrass product expansion in terms of another.
All labels observed (2)
| Label | Occurrences |
|---|---|
| hasWeierstrassProduct canonical | 2 |
| hasInfiniteProductRepresentation | 1 |
Description generation (PDg)
The one-sentence description above was generated by prompting gpt-5.1 with the predicate name and this instruction.
Instruction
Given a predicate that represents a relationship or action between entities, generate a one-sentence description explaining its meaning. # Instructions Focus on describing the relationship, not the entities themselves. # Response Format Begin the description with \' Indicates...\'
Input
Predicate: hasWeierstrassProduct
Generated description
Indicates that one mathematical object is represented or characterized by a Weierstrass product expansion in terms of another.
Sample triples (3)
| Subject | Object |
|---|---|
| Gamma function | 1/Γ(z)=ze^{γz}∏_{n=1}^∞(1+z/n)e^{-z/n} ⓘ |
| Khinchin's constant | K_0 = ∏_{m=1}^{∞} (1 + 1/(m(m+2)))^{ rac{1}{ ext{log}_2(m+1) - ext{log}_2 m}} (up to equivalent standard forms) via predicate surface "hasInfiniteProductRepresentation" ⓘ |
| Barnes G-function | infinite product representation involving Γ(z) ⓘ |