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

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

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 $\small{{\mu}(q)}$-function and his sixth order mock theta functions. In addition, we also give the continued fraction representation for $\small{{\mu}(q)}$ and 2nd order mock theta functions and $\small{Pad\acute{e}}$ approximants.
Keywords
mock theta functions;partial mock theta functions;$\small{Pad\acute{e}}$ approximants;
Language
English
Cited by
1.
CERTAIN RELATIONS FOR MOCK THETA FUNCTIONS OF ORDER EIGHT,;;

대한수학회논문집, 2009. vol.24. 4, pp.629-640
1.
CERTAIN RELATIONS FOR MOCK THETA FUNCTIONS OF ORDER EIGHT, Communications of the Korean Mathematical Society, 2009, 24, 4, 629
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