Tom Copeland on Pre-Lie algebras, Cayley… Tom Copeland on Depressed Equations and Genera… Tom Copeland on The Lagrange Reversion Theorem… Tom Copeland on Compositional Inverse Pairs, t… Tom Copeland on Squaring Triangles
Monthly Archives: November 2011
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 … Continue reading
The Inverse Mellin Transform, Bell Polynomials, a Generalized Dobinski Relation, and the Confluent Hypergeometric Functions presents a generalized Dobinski relation umbrally incorporating the Bell / Touchard / Exponential polynomials that is defined operationally through the action of the operator f(x d/dx) … Continue reading
The use of the Dirac Delta Function allows simple derivations of many common Mellin Transforms. The Mellin Transform and the Dirac Delta Function is a quick note that addresses a question posed on MathOverflow.