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Generalized Exponential and Trigonometric Functions

1993
One of the most classical papers written on generalized Fibonacci numbers is that of A. F. Horadam, [8]. In that paper, one will find several of the following properties needed in order to obtain the results found in this article. We start with a special case of the basic definition found in [8].
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Beta Variate Generation via Exponential Majorizing Functions

Operations Research, 1980
Two acceptance/rejection algorithms for generating random variates from the beta distribution are developed. The algorithms use piece-wise linear and exponential majorizing functions coupled with a piece-wise linear minorizing function. The algorithms are exact to within the accuracy of the computer and are valid for all parameter values greater than ...
Bruce W. Schmeiser, A. J. G. Babu
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A Temperature Compensated Exponential Function Generator

IEEE Journal of Solid-State Circuits, 1968
An exponential function generator using the relation between emitter-base voltage and collector current of a silicon transistor is described briefly. The inherent temperature dependence is greatly reduced by using an emitter coupled pair of transistors and one temperature dependent resistor. The exponential range covers about 9 decades of current at 60°
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A generalized monogenic exponential function in ℍ

Complex Variables and Elliptic Equations, 2019
The article presents a monogenic exponential function for the hypercomplex function theory of quaternion-valued monogenic functions in a reduced quaternionic variable, which has essential propertie...
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Exponential generating functions and Bell numbers

2019
How to partition a finite set? This question is almost as fundamental as how to select a subset of elements, or how to permute the elements in the set. However, the answer to the question turns out to be rather more delicate, which is why we have deferred the question until now.
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On Generalizations of the Exponential Function

The American Mathematical Monthly, 1960
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The incomplete exponential pRp (α,β;z) function with applications

Georgian Mathematical Journal, 2022
Ankit Pal   +2 more
exaly  

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