Transcendental functions

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a quantity whose connection with the variable cannot be expressed by algebraic operations; thus, y in the equation y = 10x is a transcendental function of x. See Algebraic function (above).

See also: Function

Webster's Revised Unabridged Dictionary, published 1913 by G. & C. Merriam Co.
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References in periodicals archive
Calculus: Early Transcendental Functions, 7th Edition
Zhir, "On the best polynomial approximation of entire transcendental functions of generalized order," Ukrainian Mathematical Journal, vol.
To select the type of production function of broiler, the estimations of Cobb-Douglas and transcendental functions were used.
The transcendental functions serve as a foundation for their empirical counterparts, in such a way that
Among the topics are introduction to analytic geometry, the integral and its applications, derivatives of transcendental functions, integration techniques, infinite series, higher-order linear differential equations, and the Laplace transform.
The transcendental functions defined by six second-order nonlinear equations are called as Painleve transcendent.
On the Zeros of Some Elementary Transcendental Functions. Izvestiya Akademii Nauk SSSR, Vol.
Topics include conformal automorphisms of finitely connected regions, meromophic functions with two completely invariant domains, residual Julia sets of rational and transcendental functions, generalizations of uniformly normal families, fractal measures and ergodic theory of transcendental meromorphic functions, and, of course, Baker domains.
The series expansion for many transcendental functions can be obtained from the Maclaurin's series.
Erdelyi, Higher Transcendental Functions, Vol.I, McGraw Hill Book Co., New York.,(1953).
The function in question is the recently defined Lambert W function that belongs to the family of transcendental functions. Sean maintains that, given its simplicity and accessibility, it could be introduced into either the senior secondary or introductory tertiary level mathematics curricula.
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