On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant | Zendy

Gergő Nemes | Zendy

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On the coefficients of an asymptotic expansion related to Somos' quadratic recurrence constant

Author(s) -

Gergő Nemes

Publication year - 2010

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm101115029n

Subject(s) - mathematics , asymptotic expansion , constant (computer programming) , quadratic equation , recurrence relation , constant coefficients , asymptotic analysis , mathematical analysis , geometry , computer science , programming language

In this paper we study the coefficients of an asymptotic expansion related to Somos' Quadratic Recurrence Constant. We develop recurrence relations and an asymptotic estimation for them. We also present some results which show that these coefficients are related to the Ordered Bell Numbers.

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