原来函数

梅林变换后的函数

,当

原来函数

梅林变换后的函数

                        ( Re z > 0 )

                        ( Re z < 0 )

                    ( Re z >- Re v )

                  ( Re z < - Re v )

                (0 < Re z < 1)

                           (0 < Re z < n)

                (0 < Re z < 1)

         （积分在主值意义下）

  (0 < Re z < 2)

         （积分在主值意义下）

  (0 < Re z < 2)

         （积分在主值意义下）

    ( Re v > 0 )

      ( 0 < Re z < Re v )

 ( Re v >)

            ( Re z > 0 )

 ( Re v >)

    ( Re z <)

                    ( Re z > 0 )

             ( Re z > 0 )

                      ( Re z < 0 )

  (0 < Re z < 1)

                  (0 < Re z < 1)

                (0 < Re z < 1)

              (< Re z < 0)

              (< Re z < 0)

                  (< Re z < 1)

      (0< Re z < 1)

                (< Re z < 1)

                ( 0 < Re z < 1)

      ( Re z > -1)

       ( Re z >)

           ( Re z >)

            (< Re z < 0)

               (0< Re z < 1)