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# Tag Archives: Generalized Laguerre functions

## The Riemann Zeta and the Calculus

(Under construction: Reprising investigations over several years.) By virtue of the relation between the values of the Riemann zeta function at the negative integers, , and the Bernoulli numbers and between the Bernoulli polynomials and the partial sums of the … Continue reading

Posted in Math
Tagged annihilation operator, Bernoulli numbers, Bernoulli polynomials, Beta integral, complex Cauchy contour integral, Confluent hypergeometric functions, convolution integral, creation operators, Differential operators, Digamma function, Dirac delta function, Fractional calculus, gamma function, Generalized Laguerre functions, generalized Laguerre polynomials, harmonic numbers, infinigen, infinitesimal generator, lowering operator, Mellin convolution, Mellin transform, operational calculus, Raising operators, Riemann zeta function, Sheffer Appell polynomials
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## Goin’ with the Flow: Logarithm of the Derivative

Goin’ with the Flow: Logarithm of the Derivative Operator is a pdf set of notes under construction on the relations between the commutator of the logarithm of the derivative operator, the Pincherle derivative, Lie operator derivatives, and the two umbrally inverse … Continue reading

Posted in Math
Tagged Bell polynomials, Binomial Sheffer sequences, Commutatator, Confluent hypergeometric functions, Differential operators, Factorial polynomials, Falling factorial, Flow equations, Fractional calculus, Generalized Laguerre functions, Inversion, Laguerre polynomials, Lie derivatives, Logarithm of the derivative operator, Matrix representations, Operator calculus, Pincherle derivative, Rising factorial, Sheffer sequences, Simplices, Stirling numbers, Vandermonde matrix
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