Hypergeometric Functions - Values at Special Points z

Values At Special Points z

See (Slater 1966, Appendix III) for a list of summation formulas at special points, most of which also appear in (Bailey 1935). (Gessel & Stanton 1982) gives further evaluations at more points. (Koepf 1995) shows how most of these identities can be verified by computer algorithms.

Read more about this topic:  Hypergeometric Functions

Famous quotes containing the words values, special and/or points:

    “Autonomy means women defining themselves and the values by which they will live, and beginning to think of institutional arrangements which will order their environment in line with their needs.... Autonomy means moving out from a world in which one is born to marginality, to a past without meaning, and a future determined by others—into a world in which one acts and chooses, aware of a meaningful past and free to shape one’s future.”
    —Gerda Lerner (b. 1920)

    “... [the] special relation of women to children, in which the heart of the world has always felt there was something sacred, serves to impress upon women certain tendencies, to endow them with certain virtues ... which will render them of special value in public affairs.”
    —Mary Putnam Jacobi (1842–1906)

    “Type of the wise, who soar, but never roam—
    True to the kindred points of Heaven and Home!”
    —William Wordsworth (1770–1850)