# Correpondence between the one-loop three-point vertex and the Y- and $\Delta$- electric resistor networks

@article{Suzuki2011CorrepondenceBT, title={Correpondence between the one-loop three-point vertex and the Y- and \$\Delta\$- electric resistor networks}, author={Alfredo Takashi Suzuki}, journal={Canadian Journal of Physics}, year={2011}, volume={92}, pages={131-135} }

Different mathematical methods have been applied to obtain the analytic result for the massless triangle Feynman diagram yielding a sum of four linearly independent (LI) hypergeometric functions of...

## 2 Citations

### All-Loop Singularities of Scattering Amplitudes in Massless Planar Theories.

- MathematicsPhysical review letters
- 2018

A theorem on the Y-Δ reducibility of planar circuits is proved to prove that the set of first-type Landau singularities of an n-particle scattering amplitude in any massless planar theory is a subset of those of a certain n- particle ⌊(n-2)^{2}/4⌋-loop "ziggurat" graph.

### A Note on Generalized q-Difference Equations and Their Applications Involving q-Hypergeometric Functions

- MathematicsSymmetry
- 2020

Two q-operators are used to derive two potentially useful generalizations of the q-binomial theorem, a set of two extensions of theq-Chu-Vandermonde summation formula and two new generalization of the Andrews-Askey integral by means of theQ-difference equations.

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