In this paper we derive the explicit, closed-form, recursion-free formulae for the arbitrary-order Fréchet derivatives of the exponential and logarithmic functions in unital Banach algebras (complex ...

Graphs of exponential functions and logarithmic functions provide a visual insight into their properties, such as growth, decay, and the inverse relationship between them.

Morris Marden, Logarithmic Derivative of an Entire Function, Proceedings of the American Mathematical Society, Vol. 28, No. 2 (May, 1971), pp. 513-518 ...

Rules for Common Derivatives The derivatives for any functions like polynomial, power, exponential, logarithmic and circular functions can be easily found by knowing the derivative for their base ...

Derivatives: definitions, notation, and rules A derivative is a function which measures the slope. It depends upon x in some way, and is found by differentiating a function of the form y = f (x). When ...

Through numerical analysis, and taking into account the calculating precision, computational amount and the memory space of numerical tables, these three indexes, some quick algorithms on the ...

High performance implementations of unary functions are important in many applications e.g. in the wireless communication area. This paper shows the development and VLSI implementation of unary ...