hypergeometric differential equation造句
例句與造句
- The solution of the hypergeometric differential equation is very important.
- For more details, please check the hypergeometric differential equation.
- For instance, Legendre's differential equation can be shown to be a special case of the hypergeometric differential equation.
- Any second order differential equation with three regular singular points can be converted to the hypergeometric differential equation by a change of variables.
- The change of variables " t " = sinh " r " transforms this equation into the hypergeometric differential equation.
- It's difficult to find hypergeometric differential equation in a sentence. 用hypergeometric differential equation造句挺難的
- Like all such equations, it can be converted into a hypergeometric differential equation by a change of variable, and its solutions can be expressed using hypergeometric functions.
- Note that the Gaussian hypergeometric differential equation can be brought into the above form, and thus pairs of solutions to the hypergeometric equation are related in this way.
- The full complement of Kummer's 24 solutions may be obtained in this way; see the article hypergeometric differential equation for a treatment of Kummer's solutions.
- Hence, by solving the hypergeometric differential equation, one may directly compare its solutions to get the solutions of Legendre's differential equation, after making the necessary substitutions.
- He also worked with hypergeometric differential equations in 1857 using complex analytical methods and presented the solutions through the behavior of closed paths about singularities ( described by the monodromy matrix ).
- The ordinary differential equation is equivalent to the hypergeometric differential equation and " f " ( " z " ) can be written in terms of hypergeometric functions.
- By means of the G-function we can thus solve the generalized hypergeometric differential equation for " p " > " q " + 1 as well.
- I think that this is the reason why the article hypergeometric differential equation mentions that there is a special case when one of the angular parameters ( which presumably correspond to differences between exponents ) is an integer.
- Every second-order linear ODE on the extended complex plane with at most four regular singular points, such as the Lam?equation or the hypergeometric differential equation, can be transformed into this equation by a change of variable.
- Just as the confluent differential equation is a limit of the hypergeometric differential equation as the singular point at 1 is moved towards the singular point at ", the confluent hypergeometric function can be given as a limit of the hypergeometric function
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