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ABSTRACT Let p,x be real numbers, and s be a complex number, with , , and x+1>0. The zeta function is defined by where is a r-tuple positive integers, and… Click to show full abstract
ABSTRACT Let p,x be real numbers, and s be a complex number, with , , and x+1>0. The zeta function is defined by where is a r-tuple positive integers, and is the one-variable multiple polylogarithms. Since , we call this function as a generalized Arakawa-Kaneko zeta function. In this paper, we investigate the properties and values of with different values s, x, and p. We then give some applications on them.
Keywords:
zeta functions;
kaneko zeta;
generalized arakawa;
arakawa kaneko;
functions generalized;
zeta
Journal Title: Integral Transforms and Special Functions
Year Published: 2018
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Journal Title: Integral Transforms and Special Functions
Year Published: 2018
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!