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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An asymptotic expansion for the first derivative of the generalized Riemann zeta function
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by E. Elizalde PDF
Math. Comp. 47 (1986), 347-350 Request permission

Abstract:

An asymptotic expansion for the partial derivative $\partial \zeta (z,q)/\partial z$ of the generalized Riemann zeta function $\zeta (z,q)$, all negative integer values of z, is obtained.
References
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  • Emili Elizalde and Joan Soto, $\zeta$-regularized Lagrangians for massive quarks in constant background mean-fields, Ann. Physics 162 (1985), no. 1, 192–211. MR 798705, DOI 10.1016/0003-4916(85)90233-7
  • A. Erdélyi, Editor, Higher Transcendental Functions, Vol. I, McGraw-Hill, New York, 1953. I. S. Gradshteyn & I. M. Ryzhik, Tables of Integrals, Series, and Products, 4th ed., Academic Press, New York, 1965.
  • Wilhelm Magnus, Fritz Oberhettinger, and Raj Pal Soni, Formulas and theorems for the special functions of mathematical physics, Third enlarged edition, Die Grundlehren der mathematischen Wissenschaften, Band 52, Springer-Verlag New York, Inc., New York, 1966. MR 0232968
  • F. W. J. Olver, Asymptotics and special functions, Computer Science and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1974. MR 0435697
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Math. Comp. 47 (1986), 347-350
  • MSC: Primary 11M35; Secondary 81G05
  • DOI: https://doi.org/10.1090/S0025-5718-1986-0842140-X
  • MathSciNet review: 842140