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ZHENG Pengshe, TANG Jie. Similar Structure of Solutions to Boundary Value Problems of Three-Interval Composite Hypergeometric Equations[J]. Journal of Xihua University(Natural Science Edition), 2023, 42(2): 103 − 110. . DOI: 10.12198/j.issn.1673-159X.4761
Citation: ZHENG Pengshe, TANG Jie. Similar Structure of Solutions to Boundary Value Problems of Three-Interval Composite Hypergeometric Equations[J]. Journal of Xihua University(Natural Science Edition), 2023, 42(2): 103 − 110. . DOI: 10.12198/j.issn.1673-159X.4761

Similar Structure of Solutions to Boundary Value Problems of Three-Interval Composite Hypergeometric Equations

  • By observing the solution expressions of "boundary value problems of compound hypergeometric equations with three intervals", it is found that all the solution expressions in the three intervals have certain similarities, only the similar kernel functions corresponding to the three intervals are different. Therefore, a new method to solve this kind of boundary value problems - "similarity construction method" is obtained.
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