On the asymptotic formulae for some functions connected with powers of the zeta function
A. Ivić (1977)
Matematički Vesnik
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Displaying similar documents to “Complete asymptotic expansions for certain multiple q-integrals and q-differentials of Thomae-Jackson type”
On the asymptotic formulae for some functions connected with powers of the zeta function
Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions.
M. Katsurada, K. Matsumoto (1996)
Mathematica Scandinavica
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Asymptotic expansions of certain q-series and a formula of Ramanujan for specific values of the Riemann zeta function
Masanori Katsurada (2003)
Acta Arithmetica
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On Mellin-barnes Type of Integrals and Sumsassociated With the Riemann Zeta-function}
Masanori Katsurada (1997)
Publications de l'Institut Mathématique
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On an asymptotic formula of Ramanujan for a certain theta-type series
Masanori Katsurada (2001)
Acta Arithmetica
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On an asymptotic formula of Srinivasa Ramanujan
K. Ramachandra, A. Sankaranarayanan (2003)
Acta Arithmetica
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Confluent asymptotic expansions for functions of two variables
V. L. Deshpande (1973)
Matematički Vesnik
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An asymptotic confluent expansion for certain functions of several variables
R. Panda (1975)
Matematički Vesnik
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On a function, which is a special case of Meijer’s -function
J. Boersma (1962-1964)
Compositio Mathematica
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Asymptotic properties of solutions of some integral equations and second order differential equations
Z. Polniakowski (1965)
Annales Polonici Mathematici
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Asymptotic expansions for ratios of products of gamma functions.
Bühring, Wolfgang (2003)
International Journal of Mathematics and Mathematical Sciences
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Linear differential equations and multiple zeta values. I. Zeta(2)
Michał Zakrzewski, Henryk Żołądek (2010)
Fundamenta Mathematicae
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Certain generating fuctions for multiple zeta values are expressed as values at some point of solutions of linear meromorphic differential equations. We apply asymptotic expansion methods (like the WKB method and the Stokes operators) to solutions of these equations. In this way we give a new proof of the Euler formula ζ(2) = π²/6. In further papers we plan to apply this method to study some third order hypergeometric equation related to ζ(3).
Asymptotic relationships between the solutions of two second order differential equations
Thomas G. Hallam (1971)
Annales Polonici Mathematici
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Asymptotic relationships between the solutions of two systems of differential equations
Miloš Ráb (1974)
Annales Polonici Mathematici
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