| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2016: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
The aim of this research is a connection problem of the Painleve functions. We found many connection formulae on q-hypergeometric equations, which will play a key role to study global analysis on the Painleve equations. We constructed a basic theory on local analysis around irregular singular points of q-difference equations at first. We applied our new method to connection problems of q-hypergeometric equations, and we have solved connection problems on q-analogues of generalized hypergeometric equations in the case of at least one regular singular points.
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