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Topics in Special Functions III

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Analytic Number Theory, Approximation Theory, and Special Functions

Abstract

The authors provide a survey of recent results in special functions of classical analysis and geometric function theory, in particular, the circular and hyperbolic functions, the gamma function, the elliptic integrals, the Gaussian hypergeometric function, power series, and mean values.

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Acknowledgements

The authors wish to thank Á. Baricz, C. Berg, E. A. Karatsuba, C. Mortici, E. Neuman, H. L. Pedersen, S. Ponnusamy, and G. Tee for careful reading of this paper and for many corrections and suggestions. The research of Matti Vuorinen was supported by the Academy of Finland, Project 2600066611. Xiaohui Zhang is indebted to the Finnish National Graduate School of Mathematics and its Applications for financial support.

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    Glen D. Anderson

  2. Department of Mathematics and Statistics, University of Turku, Assistentinkatu 7, FIN-20014, Turku, Finland

    Matti Vuorinen & Xiaohui Zhang

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Anderson, G.D., Vuorinen, M., Zhang, X. (2014). Topics in Special Functions III. In: Milovanović, G., Rassias, M. (eds) Analytic Number Theory, Approximation Theory, and Special Functions. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-0258-3_11

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