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The Euler or Mascheroni constant
Eulers integral for Iz
143 other sections not shown
absolutely convergent analytic function asymptotic expansion Bateman Bessel functions Bessel polynomials Chapter coefficients conclude constant contiguous function relations deﬁned deﬁnition denominator parameter derive differential equation differential recurrence relation elementary elliptic function Euler evaluation exists ﬁnd ﬁnite ﬁxed follows Gauss Hence Hermite polynomials hypergeometric function hypergeometric series inﬁnite product Jacobi polynomials Kummerís Laguerre polynomials Laplace transform left member Legendre polynomials lFl(a logarithmic negative integer nomials non-negative integer notation numerator obtain orthogonal polynomials poles poly polynomial of degree polynomial sets positive integer power series preceding section Proof properties prove pure recurrence relation Rainville Re(a Re(b Re(c Re(z region replace result in Ex right member Rodrigues formula set of polynomials Show simple set singular points speciﬁc summation term Theorem 20 theta functions valid variable Watson Watsonís lemma Weierstrass write yields