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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 →
Posted in Math
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Tagged Appell sequences, Convolution integrals, Convolution operators, Creation and annihilation operators, Cumulant generating function, Cycle index polynomials, Differential operators, Digamma function, Formal cumulants and moments, Fractional calculus, Infiinitesimal generators, Infinigens, Infinitesimal generators, Inverse Mellin transform, Ladder operators, Laguerre operator, Logarithm of the derivative operator, Mellin transform, Mellin transform interpolation of operators, Operator calculus, Psi function, Raising and lowering operators, Riemannn zeta function, Stirling polynomials of the first and second kinds, Symmetric group
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