relation to Hurwitz zeta function
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11—13 of 13 matching pages
11: Bibliography M
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Contribution no. 14. The Riemann zeta function.
BIT 5, pp. 138–141.
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Uniform computation of the error function and other related functions.
Math. Comp. 25 (114), pp. 339–344.
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Evaluation of complex logarithms and related functions.
SIAM J. Numer. Anal. 18 (4), pp. 744–750.
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Derivatives of the Hurwitz zeta function for rational arguments.
J. Comput. Appl. Math. 100 (2), pp. 201–206.
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A new symmetry related to
for classical basic hypergeometric series.
Adv. in Math. 57 (1), pp. 71–90.
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12: Bibliography R
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Erratum to:Relationships between the zeros, weights, and weight functions of orthogonal polynomials: Derivative rule approach to Stieltjes and spectral imaging.
Computing in Science and Engineering 23 (4), pp. 91.
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Relationships between the zeros, weights, and weight functions of orthogonal polynomials: Derivative rule approach to Stieltjes and spectral imaging.
Computing in Science and Engineering 23 (3), pp. 56–64.
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Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function.
Mathematics 9 (16).
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Elliptic and modular functions from Gauss to Dedekind to Hecke.
Cambridge University Press, Cambridge.
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On Simple Waves with Profiles in the form of some Special Functions—Chebyshev-Hermite, Mathieu, Whittaker—in Two-phase Media.
In Differential Operators and Related Topics, Vol. I (Odessa,
1997),
Operator Theory: Advances and Applications, Vol. 117, pp. 313–322.
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13: Errata
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Source citations
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Chapters 14 Legendre and Related Functions, 15 Hypergeometric Function
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Equation (19.25.37)
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Equations (25.11.6), (25.11.19), and (25.11.20)
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Chapter 25 Zeta and Related Functions
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Specific source citations and proof metadata are now given for all equations in Chapter 25 Zeta and Related Functions.
The Weierstrass zeta function was incorrectly linked to the definition of the Riemann zeta function. However, to the eye, the function appeared correct. The link was corrected.
Originally all six integrands in these equations were incorrect because their numerators contained the function . The correct function is . The new equations are:
25.11.6
, ,
Reported 2016-05-08 by Clemens Heuberger.
25.11.19
, ,
Reported 2016-06-27 by Gergő Nemes.
25.11.20
, ,
Reported 2016-06-27 by Gergő Nemes.
A number of additions and changes have been made to the metadata to reflect new and changed references as well as to how some equations have been derived.