Dougall’s bilateral $_{2}H_{2}$-series and Ramanujan-like $\pi$-formulae
نویسندگان
چکیده
منابع مشابه
Ramanujan-Sato-Like Series
Using the theory of Calabi–Yau differential equations we obtain all the parameters of Ramanujan–Sato-like series for 1/π2 as q-functions valid in the complex plane. Then we use these q-functions together with a conjecture to find new examples of series of non-hypergeometric type. To motivate our theory we begin with the simpler case of Ramanujan–Sato series for 1/π .
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2011
ISSN: 0025-5718,1088-6842
DOI: 10.1090/s0025-5718-2011-02474-9