An asymptotic expansion for the first derivative of the generalized Riemann zeta function

Author:

Elizalde E.

Abstract

An asymptotic expansion for the partial derivative ζ ( z , q ) / z \partial \zeta (z,q)/\partial z of the generalized Riemann zeta function ζ ( z , q ) \zeta (z,q) , all negative integer values of z, is obtained.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Reference6 articles.

1. International Series in Pure and Applied Mathematics;Bender, Carl M.,1978

2. 𝜁-regularized Lagrangians for massive quarks in constant background mean-fields;Elizalde, Emili;Ann. Physics,1985

3. A. Erdélyi, Editor, Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953.

4. I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965.

5. Die Grundlehren der mathematischen Wissenschaften, Band 52;Magnus, Wilhelm,1966

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