Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.

Chu Wenchang

Collectanea Mathematica (1997)

  • Volume: 48, Issue: 3, page 265-279
  • ISSN: 0010-0757

Abstract

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A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.

How to cite

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Wenchang, Chu. "Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.." Collectanea Mathematica 48.3 (1997): 265-279. <http://eudml.org/doc/40584>.

@article{Wenchang1997,
abstract = {A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.},
author = {Wenchang, Chu},
journal = {Collectanea Mathematica},
keywords = {Series de potencias; Series formales; Correspondencia algebraica; Series analíticas; Relaciones; binomial coefficients; bivariate inverse series relations; double summation formulae on shifted factorials; -analogues; generalized convolutions; formal power series},
language = {eng},
number = {3},
pages = {265-279},
title = {Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.},
url = {http://eudml.org/doc/40584},
volume = {48},
year = {1997},
}

TY - JOUR
AU - Wenchang, Chu
TI - Inverse series relations, formal power series and Blodgett-Gessel's type binomial identities.
JO - Collectanea Mathematica
PY - 1997
VL - 48
IS - 3
SP - 265
EP - 279
AB - A pair of simple bivariate inverse series relations are used by embedding machinery to produce several double summation formulae on shifted factorials (or binomial coefficients), including the evaluation due to Blodgett-Gessel. Their q-analogues are established in the second section. Some generalized convolutions are presented through formal power series manipulation.
LA - eng
KW - Series de potencias; Series formales; Correspondencia algebraica; Series analíticas; Relaciones; binomial coefficients; bivariate inverse series relations; double summation formulae on shifted factorials; -analogues; generalized convolutions; formal power series
UR - http://eudml.org/doc/40584
ER -

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