This is a good question.

Papers on the contributions of the mathematician Augustin-Louis Cauchy can be found on RG.   Here are some examples.

Cauchy-Davenport theorem: various proofs and some early generalizations:

https://www.researchgate.net/publication/264915824_Cauchy-Davenport_theorem_various_proofs_and_some_early_generalizations

Analytic Method for the Computation of the Total Harmonic Distortion by the Cauchy Method of Residues

https://www.researchgate.net/publication/260672713_Analytic_Method_for_the_Computation_of_the_Total_Harmonic_Distortion_by_the_Cauchy_Method_of_Residues

A Cauchy-Schwarz inequality for triples of vectors

https://www.researchgate.net/publication/254722584_A_Cauchy-Schwarz_inequality_for_triples_of_vectors

The abstract Cauchy problem for the fractional evolution equation

https://www.researchgate.net/publication/255729053_The_abstract_Cauchy_problem_for_the_fractional_evolution_equation

Derivative error bounds for Lagrange interpolation: An extension of Cauchy's bound for the error of Lagrange interpolation

https://www.researchgate.net/publication/242816171_Derivative_error_bounds_for_Lagrange_interpolation_An_extension_of_Cauchy's_bound_for_the_error_of_Lagrange_interpolation

Article A Cauchy-Schwarz inequality for triples of vectors

Article The abstract Cauchy problem for the fractional evolution equation

Article Analytic Method for the Computation of the Total Harmonic Di...

Article Cauchy-Davenport theorem: various proofs and some early gene...

Article Derivative error bounds for Lagrange interpolation: An exten...

This is a good question.

Papers on the contributions of the mathematician Augustin-Louis Cauchy can be found on RG.   Here are some examples.

Cauchy-Davenport theorem: various proofs and some early generalizations:

https://www.researchgate.net/publication/264915824_Cauchy-Davenport_theorem_various_proofs_and_some_early_generalizations

Analytic Method for the Computation of the Total Harmonic Distortion by the Cauchy Method of Residues

https://www.researchgate.net/publication/260672713_Analytic_Method_for_the_Computation_of_the_Total_Harmonic_Distortion_by_the_Cauchy_Method_of_Residues

A Cauchy-Schwarz inequality for triples of vectors

https://www.researchgate.net/publication/254722584_A_Cauchy-Schwarz_inequality_for_triples_of_vectors

The abstract Cauchy problem for the fractional evolution equation

https://www.researchgate.net/publication/255729053_The_abstract_Cauchy_problem_for_the_fractional_evolution_equation

Derivative error bounds for Lagrange interpolation: An extension of Cauchy's bound for the error of Lagrange interpolation

https://www.researchgate.net/publication/242816171_Derivative_error_bounds_for_Lagrange_interpolation_An_extension_of_Cauchy's_bound_for_the_error_of_Lagrange_interpolation

Article A Cauchy-Schwarz inequality for triples of vectors

Article The abstract Cauchy problem for the fractional evolution equation

Article Analytic Method for the Computation of the Total Harmonic Di...

Article Cauchy-Davenport theorem: various proofs and some early gene...

Article Derivative error bounds for Lagrange interpolation: An exten...

Cauchy fractional theorem is also a cornersone for fractional calculus: both fractional integral and fractional derivative are defined via a generalization of Cauchy integral formula. There has been established a whole theory called fractional calculus

Article Cauchy and Signaling Problems for the Time-Fractional Diffus...

Article Option Pricing Beyond Black-Scholes Based on Double-Fraction...

Conference Paper Advances in fractional calculus: Control and signal processi...

Chapter Fractional Calculus

@Jan Korbel: Cauchy fractional theorem is also a cornersone for fractional calculus...

Many thanks for pointing this out.   What you have pointed out about the fractional calculus is very interesting.   In Section 1.1.1, both the continuous and descrete forms of the Cauchy are covered in the theory of discrete fractional calculus in

Michael Holm, THE THEORY OF DISCRETE FRACTIONAL CALCULUS:

DEVELOPMENT AND APPLICATION

http://digitalcommons.unl.edu/cgi/viewcontent.cgi?article=1027&context=mathstudent