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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A new $q$-Lagrange formula and some applications


Author: Christian Krattenthaler
Journal: Proc. Amer. Math. Soc. 90 (1984), 338-344
MSC: Primary 05A30
DOI: https://doi.org/10.1090/S0002-9939-1984-0727262-6
MathSciNet review: 727262
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Abstract: A new $q$-extension of the Lagrange-Bürmann expansion and related formulas are proved. Finally we give a method to find $q$-generalizations of Riordan’s inverse relations.


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Keywords: <IMG WIDTH="15" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img2.gif" ALT="$q$">-Lagrange formula, inverse relations, <IMG WIDTH="15" HEIGHT="37" ALIGN="MIDDLE" BORDER="0" SRC="images/img1.gif" ALT="$q$">-exponential function
Article copyright: © Copyright 1984 American Mathematical Society