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Some G Pólya gems from complex analysis

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Abstract

George Pólya (1887–1985) was a brilliant Hungarian mathematician; and many of you may have come across his famous (bestseller) book How to Solve it. Elsewhere in this issue you will find a more complete biography of Pólya. Here we will talk about some of his work in complex analysis. Among Pólya’s contemporaries were mathematicians like Leopold (Lipót) Fejér, his thesis advisor, Adolf Hurwitz (1859–1919), G H Hardy (1877–1947), Gábor Szegö (1895–1985).

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Suggested Reading

  1. R P Boas, Selected Topics from Pólya’s work in Complex Analysis, Math. Mag., Vol.60, pp.271–274, 1987.

    Article  Google Scholar 

  2. J Hadamard, Essai sur l’étude des fonctione données par leur développement de Taylor, J. Math. Pur. Appl., Vol.8, pp.102–186, 1892.

    Google Scholar 

  3. A Hurwitz and G Pólya, Zwei Beweise eines von Herrn Fatou vermuteten Satzes, Acta Math., Vol.40, pp.179–183, 1917.

    Article  Google Scholar 

  4. G Pólya, Über die Nullstellen sukzessiver Derivierten, Math Z., Vol.12, pp.36–60, 1922.

    Article  Google Scholar 

  5. G Pólya, On the zeros of the derivatives of a function and its analytic character, Bull. Amer. Math. Soc., Vol.49, pp.178–191, 1943.

    Article  Google Scholar 

  6. G Pólya, Sur les séries entiéres lacunaires non-prologeables. C.R. Acad. Sci. Paris., Vol.208, pp.709–711, 1939.

    Google Scholar 

  7. G Pólya and G Szeg Problems and Theorems in Analysis, Springer-Verlag, 1972–75.

    Book  Google Scholar 

  8. G Pólya, On the zeros of successive derivatives, an example, J. D’Analyse Mathématique, Vol.30, pp.452–455, 1976.

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics, Indian Institute of Technology, Kanpur, 208 016, India

    Shobha Madan

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  1. Shobha Madan
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Correspondence to Shobha Madan.

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Shobha Madan is a Professor at the Department of Mathematics and Statistics, IIT Kanpur. Her research interest is in harmonic analysis.

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Madan, S. Some G Pólya gems from complex analysis. Reson 19, 323–337 (2014). https://doi.org/10.1007/s12045-014-0038-6

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  • DOI: https://doi.org/10.1007/s12045-014-0038-6

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