@article{oai:doshisha.repo.nii.ac.jp:00029080, author = {伊藤, 駿 and Ito, Shun and 竹井, 義次 and Takei, Yoshitsugu}, issue = {2}, journal = {同志社大学ハリス理化学研究報告, The Harris science review of Doshisha University}, month = {Jul}, note = {本論文では、ベッセル関数のみたす差分方程式に対する完全WKB解析、すなわちボレル総和法に基づくWKB解析、を考察する。解の積分表示式を利用して、そのWKB解、ストークス曲線、および接続公式を調べる。特に、ベッセル関数のみたす差分方程式については、無限個の新しいストークス曲線が現れることを示す。, In this paper the exact WKB analysis, that is, the WKB analysis based on the Borel resummation method, of difference equations for Bessel functions is considered. We investigate their WKB solutions, Stokes curves, and connection formulas by using integral representations of solutions. In particular, we will show that in nitely many new Stokes curves appear for the difference equations for Bessel functions., application/pdf}, pages = {97--106}, title = {Exact WKB analysis of difference equations for Bessel functions}, volume = {63}, year = {2022}, yomi = {イトウ, シュン and タケイ, ヨシツグ} }