[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2007.44.4.767

PARTIAL SECOND ORDER MOCK THETA FUNCTIONS, THEIR EXPANSIONS AND PADE APPROXIMANTS

Srivastava, Bhaskar (DEPARTMENT OF MATHEMATICS AND ASTRONOMY LUCKNOW UNIVERSITY)

Publication Information

Journal of the Korean Mathematical Society / v.44, no.4, 2007 , pp. 767-777 More about this Journal

Abstract

By proving a summation formula, we enumerate the expansions for the mock theta functions of order 2 in terms of partial mock theta functions of order 2, 3 and 6. We show a relation between Ramanujan's ${\mu}(q)$ -function and his sixth order mock theta functions. In addition, we also give the continued fraction representation for ${\mu}(q)$ and 2nd order mock theta functions and $Pad\acute{e}$ approximants.

Keywords

mock theta functions; partial mock theta functions; $Pad\acute{e}$ approximants;

Citations & Related Records

Times Cited By Web Of Science : 0 (Related Records In Web of Science)
Times Cited By SCOPUS : 1

Reference
Cited By SCOPUS

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