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Pochhammer symbol

This is easily derived by examining the coefficient of a general power of x in the series expansions of the functions and using the Pochhammer symbol. There is a comprehensive list of similar properties in Abramowitz and Ste-gun [1], which may be derived in the same way. In addition to these, there... [Pg.177]

The quantities (p)j are Pochhammer symbols, defined after Eq. (29). For a general discussion of the functions 2F1, see... [Pg.114]

For definition of the beta function and a derivation of Eq. (39), see Ref. [9]. Note also that the notation d) denotes a Pochhammer symbol, defined immediately after Eq. (29). [Pg.116]

Diaz R, Pariguan E (2007) On hypergeometric functions and Pochhammer k-symbol. Divulgaciones Matematicas 15 179-192... [Pg.127]

The double factorial of n, denoted nil, is the product of every other integer nil = n- n - 2)- n - 4) , where the last element in the product is either 2 or 1, depending on whether n is even or odd. The shifted factorial (also called the rising factorial and Pochhammer s symbol) is denoted by a) (sometimes a ) and is defined as... [Pg.514]


See other pages where Pochhammer symbol is mentioned: [Pg.441]    [Pg.449]    [Pg.174]    [Pg.188]    [Pg.316]    [Pg.422]    [Pg.84]    [Pg.177]    [Pg.195]    [Pg.114]    [Pg.117]    [Pg.119]    [Pg.371]    [Pg.441]    [Pg.449]    [Pg.174]    [Pg.188]    [Pg.316]    [Pg.422]    [Pg.84]    [Pg.177]    [Pg.195]    [Pg.114]    [Pg.117]    [Pg.119]    [Pg.371]    [Pg.119]   
See also in sourсe #XX -- [ Pg.445 ]

See also in sourсe #XX -- [ Pg.84 ]

See also in sourсe #XX -- [ Pg.371 ]




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