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21: 35.4 Partitions and Zonal Polynomials
Mean-Value
22: Bibliography G
  • L. Gårding (1947) The solution of Cauchy’s problem for two totally hyperbolic linear differential equations by means of Riesz integrals. Ann. of Math. (2) 48 (4), pp. 785–826.
  • W. Gautschi (1974) A harmonic mean inequality for the gamma function. SIAM J. Math. Anal. 5 (2), pp. 278–281.
  • W. Gautschi (1992) On mean convergence of extended Lagrange interpolation. J. Comput. Appl. Math. 43 (1-2), pp. 19–35.
  • 23: 8.14 Integrals
    24: 22.10 Maclaurin Series
    25: Mathematical Introduction
    ( a , b ] or [ a , b ) half-closed intervals.
    mod or modulo m n ( mod p ) means p divides m n , where m , n , and p are positive integers with m > n .
    This means that the variable x ranges from 0 to 1 in intervals of 0. …
    26: DLMF Project News
    error generating summary
    27: 13.29 Methods of Computation
    For M ( a , b , z ) and M κ , μ ( z ) this means that in the sector | ph z | π we may integrate along outward rays from the origin with initial values obtained from (13.2.2) and (13.14.2). …
    28: 28.2 Definitions and Basic Properties
    Period π means that the eigenfunction has the property w ( z + π ) = w ( z ) , whereas antiperiod π means that w ( z + π ) = w ( z ) . Even parity means w ( z ) = w ( z ) , and odd parity means w ( z ) = w ( z ) . …
    29: 30.4 Functions of the First Kind
    If f ( x ) is mean-square integrable on [ 1 , 1 ] , then formally …
    30: 35.1 Special Notation
    a , b complex variables.
    | 𝐗 | determinant of 𝐗 (except when m = 1 where it means either determinant or absolute value, depending on the context).