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special function

# special function - Bissell equation and gender and gamma...

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ةصاخل± عب±وتل± special function ردنجل ² ³سيب ةل´اµم ² ¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶¶ ·قر ةخسنل± 1.00 ¶¶¶ ءايحإ ¸¹ºف ´±د»إ 1431 ـه

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اماغ عباتل± gamma function :ةما²ل± ة³يصل± رلوأ ة³يش ه ا´رµشأ نكل و ةيضا¶· ¸±ء±رجإب اµ¹م رخآ ىلº »كش نم ¼اقت½¾± نك¿¶ ¼اكشأ ÀدÁ اµل Euler : Â´ و :Ãب ÄاÅل± Â½ايÆل± Â¹ح¹¿ل± : اماغ عباتÇل ةÈاخ ÉيÊ ËËËËËËËËËËËËËËËËËËËËËËËËËËËËËËËËËËË  m  1 m = sin m m 1 = m m
: تاقلع±² ضعب ناهرب 1 -  m 1 = m ! m 1 = m m ⇒ m m 1 1 = m m 1  m 1 = m m 1  m 2 m 2 = = m m 1  m 2 ⋯ 1  = m ! 2 - 1 = 0 e t t 1 1 dt = 0 e t =[− e t ] 0 = 1 1 2 = 1 2 1 1 2 sin 2 1 2 2 =⇒ 1 2 = ا³يب ´با³±² Beta function : ةماع±² ةغيص±² : اماµ ´با³±اب ا³يب ´با³±² ةقل¶ B m ,n = m n m n : ناهر·±² m n 0 e t t m 1 dt 0 e − n 1 d = 0 e − t  t m 1 n

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special function - Bissell equation and gender and gamma...

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