Poincare's Theorem of Asymptotic Series and its Application
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1-7
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10.58578/mjms.v2i1.2460
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Authors:Nand Kishor Kumar1*, Dipendsra Prasad Yadav2, Suresh Kumar Sahani3
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Abstract
This article explains an important asymptotic series theorem. Poincare also demonstrates how to solve linear differentials with polynomial coefficients using asymptotic series. The significance of asymptotic series has also been discussed.
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References
Poincare, H .(1890). Sur une classe nouvelle de transcendantes uniformes. J. Math. Pures Appl. (4), 6.
Valiron, G.(1923). Lectures on the General Theory of Integral Functions. Private, Toulouse.
Valiron,G.(1954). Fonctions analytiques. de France, Paris: Presses Universitaires.
[ 4] Derfel, G., Grabner, P.J. & Vogl, F. (2006).The zeta function of the Laplacian on certain fractals. Trans. Amer. Math, Soc to appear.
Eremenko, A. & Levin, G. (1989). Periodic points of polynomials. Ukrainian Math. J. 41, 1258–1262.
A. Eremenko, A. & Sodin, A. (1992). Iterations of rational functions and the distributions of the values of Poincare functions. J. Soviet Math. 58 , 504–509.
. Romanenko, E. & Sharkovsky, A. (2000). Long time properties of solutions of simplest q-difference equations. Russian.
Poincare, H. (1912). Rendiconti del Circolo Matemático di Palermo. Palermo,( 33),375-407.
Birkhoff, G.D. (1913). Proof of poincare's geometric theorem. Transactions of the American mathematical society, 14-14.
Encyclopedia of mathematics, Poincare theorem. Math.org/index.php?tittle=Poincare% C3%.
Birkhoff, G.D. (1926). An extension of poincare's last geometric theorem. Acta. math,47(4), 297-311.
Study Corgi. (2021). Theory of Knowledge by Henri Poincare. Retrieved from https://studycorgi.com/theory-of-knowledge-by-henri-poincare.
Birca, A. (2004). The use of divergent Series in history. A thesis presented to the California State University316–365.