SumTools[超几何]KoepfZeilberger公司执行Koepf-Zeilberger算法调用顺序参数描述示例工具书类
调用序列科普夫·齐尔伯格(T型,n个,k个,英语)
参数
T型-中的（m，l）-折叠超几何项n个和k个n个-名称k个-名称英语-名称；表示移位操作符n个
<Text field bookmark=“info”style=“Heading 2”layout=“Heading 2”>描述</Text field>对于指定的（m，l）-折叠超几何项LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFRc5cGVzZXR0aW5nR0koX3N5c2xpYkdGzYlLUkjbWlHRiQ2JlEiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJMZhbHnlRicvJSxtYXRodmFyaWBudEd2l0YWxpY0YnLUkjb W9HRiQ2ALVEwJkFwcGx5RnVuuuY3Rpb247RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvjslzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8 lKGxhcmdlb3BHRjQv JS5tb3ZhYmxlbGltaXRzR0Y0LyUnYWNjZW50R0Y0LyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGTi1JKG1mZW5jZWRHRiQ2JS1GIzYlLUYsNiZRIm5GJ0YvRjJGNS1GOTYUUSIsRidGMkY8Rj4vRkFGMUZCRkRGRkZIRkpGTC9GUFEsMC4zMzMzW1GjyGLDYmUSJrRidGL0YyRjVGMkY8在里面n个和k个，的科普夫·齐尔伯格（T，n，k，En）命令构造LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFRc5cGVzZXR0aW5nR0koX3N5c2xpYkdGzYlLUkjbWlHRiQ2JlEiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUrZXhlY3V0YWJsZUdRJMZhbHnlRicvJSxtYXRodmFyaWBudEd2l0YWxpY0YnLUkjb W9HRiQ2ALVEwJkFwcGx5RnVuuuY3Rpb247RicvRjZRJ25vcm1hbEYnLyUmZmVuY2VHRjQvJSpzZXBhcmF0b3JHRjQvjslzdHJldGNoeUdGNC8lKnN5bW1ldHJpY0dGNC8 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示例 LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEld2l0aEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0ahcmlhbnRHUSdpdGFsaWNGJy1vYkNi1RMCZBcHBseUZ1bmN0aW9uO0 YnL0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8 lKnLcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELYUqc3ltbWV0cmljR0ZelyUobGFyZ2VvcEdGRC8l Lm1vdmFibGVSaW1pdHNHRkQvJSdhY2NlbnRHRkQv JSdsc3BhY2VHUSYwLjBlbUYnLyUncnwYWNlR0ZTLUkobWZlbmNlZedGJDYkLUYjNiUtSSVtc3ViR0YkNiUtRiw2JVEpU3VtVG9vbHNGJ0Y2RjktRiM2JS1GLDYlUS9IeXBlcmdlb21ldHJpY0YnRjZGOS8lK2V4ZWN1dGFibGVHRkRGQC8lL3N1YnNjcmlwdHNowZ0R1EiMEYnRmBvRkBGQEZgb0ZARitGYG9GQC1GPTYtUSI6RidGQEZCRkVGR0ZJRktGTUZPL0ZSUSwwLjI3Nzc3NzhlbUYnL0ZVRmlvRmBv RkA= LUklbXJvd0c2y9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEiVEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSSdpdGFsaWNGJy1JI21vR0YkNi1RKn4mIzg3ODg7fkYn0Y6USdub3JtYWxGJy8lJmZlbmNlR1EmZm Fsc2vGJy8lKnNlcGFyYXRvckdGRC8lKXN0cmV0Y2h5R0ZELyUqc3ltbWV0cmljR0ZELyUobGFyZ2VvcEdGRC8lLm1vdmFibGVsaW1pdHNHRkQvJSdhY2NlbnRHRkQvjsdsc3BhY2VHUSYwLjBlbUYnLyUncnwYWNLR0ZTLUYjNictRiw2JVEpYmlub21pYWxGJy9GN0ZERkAtRj02LVEwJkFwcGx5RnVuY3Rpb247 RidGQEZCRkVGR0ZJRktGTUZPRlFGVC1JKG1mZW5jZWRHRiQ21GIzYYLUkmbWZyYWNHRIQ2KC1GIzYnLUkjb W5HRiQ2JFEiMkYnRkAtRj02LlExJkludmlzaWJsZVRpbWzO0YnLyUrZXhlY3V0YWJszUdGREZARkJGRUZHRklGS0ZNRk9GUZULUYsNiVRIm5GJ0Y2RjlGam9GQC1GIzYlLUZkbzYkUSIzRidGQEZqb0ZALYUubGluZXRoawnrbmVzc0dRIjFGJy8lK2Rlbm9tYWxpZ25HUSdjZW50ZXJGy8lKW51bWFSaWduR0ZpcC8lKWJldmVsbGVkR0ZELUY9Ni1RIixGJ0ZARkIvRkZGOEZHRklGS0ZNRk9GUS9GVsMC4zMzMzZW1GJy1GIzYmYmNvRmVdvYNiVRIm tGJ0Y2RjlGQEYrRmpvRkBGQEZqb0ZARitGam9GQEyrRmpv RkBGK0Zqb0 ZA PkkiVEc2Ii1JKWJpbm9taWFsRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YkNiQsJComIiIikibkdGJEYwRjAsJComRi5GMEkia0dGJE2wRjA= LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNigtRiw2JVEmWnBhaXJGy8lJ2l0YWxpY0dRJXRhydWVGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYtUSp+JiM4Nz4O35GJy9GOlEnbm9ybWFsRicvJSZmZW5jZUdRJMZhbHNlRicvJSpzZXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8 lKGxhcmdlb3BHRkQvjs5tb3ZhYmxlbGlta公司XRzR0ZELYUNYWNjZW50R0ZEL YWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUy1GIzYnLUYsNiVRMEtvZXBmWmVpbGlcmdlckYnRjZGOS1GPTYtUTAmQXbHlGdW5jdGlvbjtGJ0ZARkJRUZHRklGS0ZNRk9GUZULUkobWZlbmNlZedGJDYkLUYjNistRiw2JVEiVEYnRj GOS1GPTYtUSIsRidGQEZCL0ZGRjhGR0ZJRktGTUZPRlEvRlVRLDAuMzMzMZM2VtRictRiw2JVEibkYnRjZGOUZgby1GLDYlUSJrRidGNkY5RmBvLUYsNiVRI0VuRidGNKY5LyUrZXhlY3V0YWJsZUdGREZARkBGX3BGQEYrRl9wRkBGK0ZfcEZARitGX3BGQA== PkkmWnBhaXJHNiI3JCwmKiQpSSNFbkdGJCIiJCIiIkYrIiIiIliIiiLCQqMiIiJ0YrLChJImtHRiRGKyomI0YrIIiIjRitJIm5HRiRGk0YtRitGLUYrLCYqJkY1RitGK0YrRitGMkYrLCgqJiNGK0YqRitGNkYrRi1GMkYr RitGLU YtLukpYmlub212 pYWxHNiQlKnByb3RlY3RlZedJKF9zeXNsaWJHRiQ2JCwkRj1GKywkRJhGK0YrRjZGLUYr LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVEnVmVyaWZ5RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWBudEd2l0YWxpY0YnLUKjbW9HRiQ2ALVEwJkFwcGx5RvunVu Y3Rpb247RicvRjpRJ25vcm1hbEynLyUmZmVuY2VHUSZmYWxzUYnLyUqc2VwYXJhdG9yR0ZELyUpc3RyZXRjaHlHRkQvJSpzeW1tZXRyaWNHRkQvjshsYXJnZW9wR0ZElyUubW92YWJsZWxpbWl0c0dGRC8lJ2FjY2VudEdGRC8l J2xzcGFjZUdRJjAuMGVtRicvJSdyc3BhY2VHRlMtSShtZmVuY2VkR0YkNiQtRiM2LS1GLDYlUSJU RidGNkY5LUY9Ni1RIixGJ0ZARkIvRkZGOEZHRklGS0ZNRk9GUS9GVVEsMC4zMzMzmzMzZW1GJy1GLDylUSZacGFpckYnRj ZGOUZobi1GLDYlUSJuRidGNkY5RmhuYsNiVRImtGJ0Y2RjlGaG4tRiw2JVEjRW5GJ0y2RjkvJStleGVjdXRhYmxlR0ZERkBGQEZqb0ZARitGam9GQEYrRmpvRkA= SSV0cnVlRyUqcHJvdGVjdGVkRw公司== LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGzYnLUkjbWlHRiQ2I1EhRictRiM2J0YrLUYjNictRiw2JVE1SXNIeXBlcmdlb21ldHJpY1Rlcm1GJy8lJ2l0YWxpY0dRJXRhydWVGJy8 lLG1hdG2YXJpYW50R1EnaXrhbGljRictSSNtb0dG JDYtUTAmQXBwbHlGdW5jdGlvbjtGJy9GOlEnbm9ybWFsRicvJSZmZW5jUdRJMZhbHnlRicvJSpzXBhcmF0b3JHRkQvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC9lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZelyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGUy1JKG1mZW5jZWRiQ2JC1GIzYnLUYsNiVRIlRGJ0Y2RjktRj02LVEiLEYnRkBGQi9GRkY4RkdGSUZLRk1GT0ZRL0ZVUSwLjMzMzMZNlbUYnLUysNiVR Im5GJ0Y2RjkvJStleGVjdXRhYmxlR0ZERkBGQEZhb0ZARitGYW9GQEYrRmFvRkA= SSZmYWxZUclKnByb3RlY3RlZEc不锈钢= 请注意，自T型不是中的超几何项n个，Zeilberger算法不适用于T型.
参考文献Koepf，W.，《m重超几何求和算法》符号计算杂志第卷。20不。4. (1995): 399-417.西科普夫。超几何求和：求和和和特殊函数恒等式的算法方法。德国布伦瑞克：Vieweg，1998年。
另请参见SumTools[超几何]汇总工具[超汇总]SumTools[科普夫·戈斯珀]SumTools[齐尔伯格]