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Definition of Exponential series
1. Noun. A series derived from the expansion of an exponential expression.
Lexicographical Neighbors of Exponential Series
Literary usage of Exponential series
Below you will find example usage of this term as found in modern and/or classical literature:
1. Algebra: An Elementary Text-book for the Higher Classes of Secondary Schools by George Chrystal (1893)
"Among the series which can be summed by means of the exponential series, two,
... (Integra-exponential series.) * For farther information regarding ..."
2. A Course of Pure Mathematics by Godfrey Harold Hardy (1908)
"The series on the right-hand side of this equation is known as the exponential
series. In particular we have and so e=l + l+l+. ..."
3. College Algebra by Henry Lewis Rietz, Arthur Robert Crathorne (1919)
"... power series is called the exponential series. It is convergent for all values
of x. For, we have 1 1 «.i 1 hence, lim It can be proved that Urn = 6«, ..."
4. College Algebra: With Applications by Ernest Julius Wilczynski (1916)
"exponential series. The exponential function ez can be expanded as a power series
of the following form (1) .= l+i + si^+...+S+.., as may be proved easily ..."
5. Elements of Dynamic: An Introduction to the Study of Motion and Rest in by William Kingdon Clifford, ( (1878)
"exponential series. We shall now find a series for ex, which is the result of
mating unity ... The exponential series is convergent for all values of x. ..."
6. An Elementary Treatise on the Differential Calculus: Containing the Theory by Benjamin Williamson (1889)
"exponential series. — Let y = if. Here f(x) = ax, hence /(o) = i, f(x) = a* log
a, „ /(o) =loga, /" (*)=*• Gog*)*, » f'(o)=loga)\ and the expansion is ..."
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