No.663
ŒQ‚Æ”÷•ª•û’öŽ®‚Ì”Ž®ˆ—ƒVƒXƒeƒ€‚ÌŒ¤‹†
Algebraic Manipulation for Groups and Differential Equations
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1988/02/01`1988/02/05
‰Í–ì@›‰•F
KONO,MITSUHIKO
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–Ú@ŽŸ
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1. ”Ž®ˆ— : ‚»‚̉ߋŽEŒ»ÝE–¢—ˆ(ŒQ‚Æ”÷•ª•û’öŽ®‚Ì”Ž®ˆ—ƒVƒXƒeƒ€‚ÌŒ¤‹†)-----------------------------------------------------------1
@@@@‹ž“s‘åŠw”—‰ðÍŒ¤‹†Š@@@ˆê¼ M@(Hitotumatu, Sin)
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2. Formula Database in Computer Algebra System GAL(Algebraic Manipulation for Groups and Differential Equations)---------------------3
@@@@The Institute of Physical and Chemical Research / University of Library and Information Science / University of Library and Information Science@@@²X–Ø Œšº / ‘‰i —Ç•¶ / ŽOŽ} ‹`“T[‘¼]@(Sasaki, T. / Masunaga, Y. / Saigusa, Y.)
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3. REDUCE‚ÅReduce‚ð(ŒQ‚Æ”÷•ª•û’öŽ®‚Ì”Ž®ˆ—ƒVƒXƒeƒ€‚ÌŒ¤‹†)-------------------------------------------------------------------------23
@@@@SEIKO EPSONŠ”Ž®‰ïŽÐ / ŽR—œ‘åŠwHŠwŒ¤‹†‰È@@@—é–Ø “N–ç / ¬–쎛 C@(Suzuki, Tetsuya / Onodera, Osamu)
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4. 2ŠKüŒ`í”÷•ª•û’öŽ®‚Ì•ÏŠ·‚ɂ‚¢‚Ä(ŒQ‚Æ”÷•ª•û’öŽ®‚Ì”Ž®ˆ—ƒVƒXƒeƒ€‚ÌŒ¤‹†)--------------------------------------------------------40
@@@@“Œ‹ž‘åŠw—Šw•”@@@–Ø‘º r–[@(Kimura, Tosihusa)
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5. The Chu-Vandermonde convolution generates transformation formulas for hypergeometric series(Algebraic Manipulation for Groups and Differential Equations)---47
@@@@²‰ê‘åŠw‹³—{•”@@@ã–ì ˆê’j@(UENO, Kazuo)
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6. ·•ª•û’öŽ®‚Æ”÷•ª•û’öŽ®(ŒQ‚Æ”÷•ª•û’öŽ®‚Ì”Ž®ˆ—ƒVƒXƒeƒ€‚ÌŒ¤‹†)-------------------------------------------------------------------62
@@@@@@@•ŸŒ´ –žB—Y@(Hukuhara, Masuo)
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7. ƒ‚ƒmƒhƒƒ~[ŒQ‚ª‰Â–ñ‚È‘å‹v•ÛŒ^•û’öŽ®(ŒQ‚Æ”÷•ª•û’öŽ®‚Ì”Ž®ˆ—ƒVƒXƒeƒ€‚ÌŒ¤‹†)-----------------------------------------------------77
@@@@鼑åŠw@@@“y‰® i@(Tsuchiya, Susumu)
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8. A Note on the Calculation of Monodromy Groups of Hypergeometric Systems(Algebraic Manipulation for Groups and Differential Equations)---83
@@@@ŒF–{‘åŠw—Šw•”@@@‰Í–ì ›‰•F@(Kohno, Mitsuhiko)
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