Sailors and pilots need three things to find their way: they musthave the correct time; they must know the exact position of the starsoverhead; and they must have a book that tells what the future positionof the stars...Sailors and pilots need three things to find their way: they musthave the correct time; they must know the exact position of the starsoverhead; and they must have a book that tells what the future positionof the stars will be. The information makes possible the science ofnavigation. And it is the job of the United States Naval Observatory tocollect and publish this information. The Headquarters of the展开更多
A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Unive...A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometric solutions, presented in this work,will promote future investigations of their mathematical properties and applications to problems in theoretical physics.展开更多
文摘Sailors and pilots need three things to find their way: they musthave the correct time; they must know the exact position of the starsoverhead; and they must have a book that tells what the future positionof the stars will be. The information makes possible the science ofnavigation. And it is the job of the United States Naval Observatory tocollect and publish this information. The Headquarters of the
基金Supported of Natural Sciences and Engineering Research Council of Canada under Grant No.GP249507
文摘A class of second-order differential equations commonly arising in physics applications are considered,and their explicit hypergeometric solutions are provided. Further, the relationship with the Generalized and Universal Associated Legendre Equations are examined and established. The hypergeometric solutions, presented in this work,will promote future investigations of their mathematical properties and applications to problems in theoretical physics.
