Title of article :
A pair of operator summation formulas and their applications
Author/Authors :
Tian-Xiao Hea، نويسنده , , Leetsch C. Hsub، نويسنده , , Dongsheng Yin c، نويسنده ,
Issue Information :
ماهنامه با شماره پیاپی سال 2009
Abstract :
Two types of symbolic summation formulas are reformulated using an extension
of Mullin Rotaʹs substitution rule in [R. Mullin, G.-C. Rota, On the foundations of
combinatorial theory: III. Theory of binomial enumeration, in: B. Harris (Ed.), Graph Theory
and its Applications, Academic Press, New York, London, 1970, pp. 167 213], and several
applications involving various special formulas and identities are presented as illustrative
examples.
Keywords :
Delta operator , Bernoulli number , Generalized harmonic number , Stirling numbers , Catalan number
Journal title :
Computers and Mathematics with Applications
Journal title :
Computers and Mathematics with Applications
