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On truncations of entire transcendental functions
Boletim da Sociedade Brasileira de Matemática, 1982Let \(F(z)=\sum^{\infty}_{k=0}a_ kz^ k\) be a transcendental entire function and let c be an arbitrary complex number. Let \(p_ n(z)=\sum^{n}_{k=0}a_ kz^ k\). In this paper the author proves that if R is any nonnegative number, then there is a positive integer N such that \(p_ n(z)-c\) has a zero in \(| z| >R\) for all \(n>N\).
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The Elementary Transcendental Functions
2020The elementary transcendental functions, principally circular functions, the exponential function and logarithm, are defined by analysis.
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On the Zeros of a Transcendental Function [PDF]
Advances in Analysis, 2005 Mark V. DeFazio, Martin E. Muldoon
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An Elementary Discussion of the Transcendental Nature of the Elementary Transcendental Functions
The American Mathematical Monthly, 1970(1970). An Elementary Discussion of the Transcendental Nature of the Elementary Transcendental Functions. The American Mathematical Monthly: Vol. 77, No. 3, pp. 294-297.
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A High-Performance Deeply Pipelined Architecture for Elementary Transcendental Function Evaluation
ICCD, 2017Jing Chen, Xue Liu
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Transcendental Values of the j-Function
2014Let L and M be two lattices with corresponding Weierstrass functions \(\wp \) and \(\wp ^{{\ast}}\). We begin by showing that if \(\wp \) and \(\wp ^{{\ast}}\) are algebraically dependent, then there is a natural number m such mM⊆ L. Indeed suppose that \(\wp \) and \(\wp ^{{\ast}}\) are as above and there is a polynomial \(P(x,y) \in \mathbb{C}[x,y]\)
Purusottam Rath, M. Ram Murty
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Neural network-based accelerators for transcendental function approximation
ACM Great Lakes Symposium on VLSI, 2014Schuyler Eldridge +3 more
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Integration of Transcendental Functions
1997Having developped the required machinery in the previous chapters, we can now describe the integration algorithm. In this chapter, we define formally the integration problem in an algebraic setting, prove the main theorem of symbolic integration (Liouville’s Theorem), and describe the main part of the integration algorithm.
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2008
This chapter takes a closer look at transcendental functions that are used for the mathematical description of physical phenomena. It describes trigonometric functions, which are important in the physical sciences for the description of periodic motion, including circular motion and wave motion, as well as in the description of systems with periodic ...
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This chapter takes a closer look at transcendental functions that are used for the mathematical description of physical phenomena. It describes trigonometric functions, which are important in the physical sciences for the description of periodic motion, including circular motion and wave motion, as well as in the description of systems with periodic ...
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