Tag Archives: Ladder operators

Dirac-Appell Sequences

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

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The Pincherle Derivative and the Appell Raising Operator

The raising and lowering operators and for a sequence of functions , with and , defined by and have the commutator relation with respect to action on the space spanned by this sequence of functions. If for any particular natural number , … Continue reading

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The Creation / Raising Operators for Appell Sequences

The Creation / Raising Operators for Appell Sequences is a pdf presenting reps of the raising operator  and its exponentiation  for normal and logarithmic Appell sequences of polynomials as differential and integral operators. The Riemann zeta and digamma, or Psi, function are connected to fractional … Continue reading

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