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Representation formulas with a kernel
The method of kernel expansion
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admissible path Amer An(z analytic functions Appell form Appell polynomials basic series Bernoulli polynomials Bessel polynomials Boas and Buck Borel transform Brenke polynomials Carlson's theorem class of functions compact sets compact subset conjugate indicator diagram consider contour convergent expansions convergent series entire function Erdelyi example expansion formula expansion properties exponential type less Falgas finite type func function analytic function f(z function of exponential function of finite function of order half plane Hence Hermite polynomials hypergeometric integral interpolation series Laguerre polynomials Lidstone series lim sup linear Maclaurin series Mittag-Leffler star Newton polynomials Newton series nomials obtain open disk origin poly polynomial sets polynomials defined polynomials1 Rainville real axis region Q regular in Q representations of zero sequence set Q sets of polynomials Sheffer singular points sinh take Qw Theorem theory tion univalent w-plane zeros of A(w