Tag Archives: Euler operator
A Generalized Dobinski Relation and the Confluent Hypergeometric Fcts.
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
Posted in Math
Tagged Bell polynomials, Confluent hypergeometric functions, Differential operators, Dirac delta function, Euler operator, Fractional calculus, Generalized Dobinski relation, Generalized Laguerre polynomials / functions, Inverse Mellin transform, Kummer, Mellin transform interpolation, Operator calculus, Ramanujan Master Formula / Theorem, Stirling polynomials of the second kind, Tricomi
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Shadows of Simplicity 