Ramanujan-Sato-Like Series

@inproceedings{Almkvist2013RamanujanSatoLikeS,
  title={Ramanujan-Sato-Like Series},
  author={Gert Almkvist and Jes{\'u}s Guillera},
  booktitle={Number Theory and Related Fields},
  year={2013}
}
Using the theory of Calabi–Yau differential equations we obtain all the parameters of Ramanujan–Sato-like series for 1∕π 2 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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