Tom Copeland on Compositional Inverse Pairs, t… Tom Copeland on The Elliptic Lie Triad: KdV an… Tom Copeland on Dirac-Appell Sequences Tom Copeland on The Elliptic Lie Triad: KdV an… Tom Copeland on The Bernoulli polynomials and…
Tag Archives: Dirac delta function
The Pincherle derivative is implicitly used in Eqn. 2.19 page 13 of “Mastering the master field” by Gopakumar and Gross. The raising and creation operators in the paper are analogous to those for a Laplace-dual Appell sequence, or Dirac-Appell sequence, … Continue reading
Discriminating Deltas, Depressed Equations, and Generalized Catalan Numbers is a set of notes on the the relation of generating functions of the generalized Catalan numbers, e.g., OEIS-A001764, to the compositional inverse of and the tangent envelope of associated discriminant curves. Added … Continue reading
Dirac’s Delta Function and Riemann’s Jump Function J(x) for the Primes presents Riemann’s jump function for counting the primes as introduced in H. M. Edward’s Riemann’s Zeta Function (Dover, 2001), couched in terms of the Dirac delta function and the inverse Mellin transform.