Keywords
exponential function
partial Bell polynomial
FaaLa di Bruno formula
Stirling number
Lah number
Generalization
hyperbolic secant function
real power
How to Cite
Abstract
In the paper, by virtue of some identities for the partial Bell polynomials and with the aid of the Faá di Bruno formula, the author presents several derivative formulas of two exponential functions and the real power of the hyperbolic secant function, and generalizes a formula for specific partial Bell polynomials.
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