CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 1994, Vol. 11 ›› Issue (4): 472-476.

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NUMERICAL COMPUTATION OF MATHIEU FUNCTION AND ITS ADDITION THEOREM

Ge Junxiang1, Lin Weigan2   

  1. 1. Department of Electronic Engineering Beijing University of Aeronautics and Astronautics, Beijing 100083 P. R. China;
    2. Institute of Applied Physics University of Electronic Science and Technology of china Chengdu 610054 P. R China
  • Received:1993-05-13 Revised:1994-02-26 Online:1994-12-25 Published:1994-12-25

Abstract: Using the series expansion and the iterative multinomial expansion of the characteristic values of the Mathieu functions,Mathieu functions and its addition theorem are evaluated numerically.Calculated results are in largely conformity with the reference [1],and the precision appears an accuracy of better than 10-5 in the range r≤30 and 0≤ q≤ 50.

Key words: mathieu function, addition theorem, numerical completion

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