Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals
Copyright policy )Evaluation of series with Hurwitz and Lerch zeta function coefficients by using Hankel contour integrals
We introduce a new technique for evaluation of series with zeta coefficients and also for evaluation of certain integrals involving the logGamma function. This technique is based on Hankel integral representations of the Hurwitz zeta, the Lerch Zeta, the Digamma and logGamma functions.
- United Methodist Church United States
- Ohio Northern University United States
Mathematics - Complex Variables, Lerch transcendent, logGamma integral, Barnes function, Hurwitz and Lerch zeta functions, Hurwitz zeta function, Mathematics - Classical Analysis and ODEs, Euler constant, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33B15, 40C10, 11M06, Hankel contour, Bessel and Airy functions, cylinder functions, \({}_0F_1\), digamma function, Complex Variables (math.CV)
Mathematics - Complex Variables, Lerch transcendent, logGamma integral, Barnes function, Hurwitz and Lerch zeta functions, Hurwitz zeta function, Mathematics - Classical Analysis and ODEs, Euler constant, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33B15, 40C10, 11M06, Hankel contour, Bessel and Airy functions, cylinder functions, \({}_0F_1\), digamma function, Complex Variables (math.CV)
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