Asymptotics for Bailey-type mock theta functions
نویسندگان
چکیده
Abstract We compute asymptotic estimates for the Fourier coefficients of two mock theta functions, which come from Bailey pairs derived by Lovejoy and Osburn. To do so, we employ circle method due to Wright a modified Tauberian theorem. encounter cancelation in our one functions auxiliary function $$\theta _{n,p}$$ θ n , p arising splitting Hickerson Mortenson. deal with this using higher-order expansions Jacobi functions.
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ژورنال
عنوان ژورنال: Ramanujan Journal
سال: 2021
ISSN: ['1572-9303', '1382-4090']
DOI: https://doi.org/10.1007/s11139-021-00511-x