Polinomios de Pidduck

En matemáticas, los polinomios de Pidduck s_n(x) son polinomios introducidos por Fredererik B. Pidduck (1910, 1912) dados por la función generadora de la forma

${\displaystyle \displaystyle \sum _{n}{\frac {s_{n}(x)}{n!}}t^{n}=\left({\frac {1+t}{1-t}}\right)^{x}(1-t)^{-1}}$

Véase también

• Cálculo umbral

Referencias

• Boas, Ralph P.; Buck, R. Creighton (1958), Polynomial expansions of analytic functions, Ergebnisse der Mathematik und ihrer Grenzgebiete. Neue Folge. 19, Berlin, New York: Springer-Verlag, MR 0094466 .
• Pidduck, F. B. (1910), «On the Propagation of a Disturbance in a Fluid under Gravity», Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character (The Royal Society) 83 (563): 347-356, ISSN 0950-1207, JSTOR 92977, doi:10.1098/rspa.1910.0023 .
• Pidduck, F. B. (1912), «The Wave-Problem of Cauchy and Poisson for Finite Depth and Slightly Compressible Fluid», Proceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character (The Royal Society) 86 (588): 396-405, ISSN 0950-1207, JSTOR 93103, doi:10.1098/rspa.1912.0031 .
• Roman, Steven (1984), The umbral calculus, Pure and Applied Mathematics 111, London: Academic Press Inc. [Harcourt Brace Jovanovich Publishers], ISBN 978-0-12-594380-2, MR 741185 . Reprinted by Dover, 2005

• Datos: Q7191280