With Euler, this person is the namesake of equations of the form x-squared times y-double-prime, plus a times x times y-prime, plus b times y, equals 0.
"The lemma that is not Burnside's" is actually due to this man and his namesake problem is to solve a general first-order ODE with an analytic inhomogeneous term. With Euler, this person is the namesake of equations of the form x-squared times y-double-prime, plus a times x times y-prime, plus b times y, equals 0. With Riemann, he names two PDE's satisfied by all holomorphic functions and the completeness of a space is defined by uniform convergence of his namesake sequences. He is the namesake, with Schwarz, of an inequality comparing the norms of two vectors to the magnitude of their inner product, and he made the original definition of the limit. FTP, name this prolific mathematician; a French military engineer.
"The lemma that is not Burnside's" is actually due to this man and his namesake problem is to solve a general first-order ODE with an analytic inhomogeneous term.
Augustin Louis Cauchy