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11—20 of 91 matching pages
11: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions
12: Bibliography S
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Ein Verfahren zur Berechnung des charakteristischen Exponenten der Mathieuschen Differentialgleichung I.
Numer. Math. 3 (1), pp. 30–38.
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Sharper bounds for the Chebyshev functions and . II.
Math. Comp. 30 (134), pp. 337–360.
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An algorithm for the evaluation of the complex Airy functions.
J. Comput. Phys. 31 (1), pp. 60–75.
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Confluent Hypergeometric Functions.
Cambridge University Press, Cambridge-New York.
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Structure of avoided crossings for eigenvalues related to equations of Heun’s class.
J. Phys. A 30 (2), pp. 673–687.
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13: Bibliography
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Some orthogonal -polynomials.
Math. Nachr. 30, pp. 47–61.
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Numerical Calculation of the Riemann Zeta Function and Generalizations by Means of the Trapezoidal Rule.
In Numerical and Applied Mathematics, Part II (Paris, 1988), C. Brezinski (Ed.),
IMACS Ann. Comput. Appl. Math., Vol. 1, pp. 467–472.
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A proof that Euler missed: Evaluating the easy way.
Math. Intelligencer 5 (3), pp. 59–60.
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Critical points of smooth functions, and their normal forms.
Uspehi Mat. Nauk 30 (5(185)), pp. 3–65 (Russian).
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Mathematical Methods of Classical Mechanics.
Graduate Texts in Mathematics, Vol. 60, Springer-Verlag, New York.
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14: About Color Map
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►The conventional CMYK color wheel (not to be confused with the traditional Artist’s color wheel) places the additive colors (red, green, blue) and the subtractive colors (yellow, cyan, magenta) at multiples of 60 degrees.
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15: Bibliography F
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Computation of complex Airy functions and their zeros using asymptotics and the differential equation.
ACM Trans. Math. Software 30 (4), pp. 471–490.
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Algorithm 838: Airy functions.
ACM Trans. Math. Software 30 (4), pp. 491–501.
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The third Appell function for one large variable.
J. Approx. Theory 165, pp. 60–69.
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Complex roots of , , and
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Math. Comp. 30 (135), pp. 541–545.
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The transformation properties of the sixth Painlevé equation and one-parameter families of solutions.
Lett. Nuovo Cimento (2) 30 (17), pp. 539–544.
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16: Publications
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Q. Wang and B. V. Saunders (2005)
Web-Based 3D Visualization in a Digital Library of Mathematical Functions,
Proceedings of the Web3D Symposium,
Bangor, UK, March 29–April 1, 2005.
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A. Youssef (2007)
Methods of Relevance Ranking and Hit-content Generation in Math Search,
Proceedings of Mathematical Knowledge Management (MKM2007),
RISC, Hagenberg, Austria, June 27–30, 2007.
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17: Errata
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Subsection 25.10(ii)
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Version 1.1.6 (June 30, 2022)
… ►In the paragraph immediately below (25.10.4), it was originally stated that “more than one-third of all zeros in the critical strip lie on the critical line.” which referred to Levinson (1974). This sentence has been updated with “one-third” being replaced with “41%” now referring to Bui et al. (2011) (suggested by Gergő Nemes on 2021-08-23).
18: Bibliography M
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Chebyshev expansions for modified Struve and related functions.
Math. Comp. 60 (202), pp. 735–747.
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Formulas and Theorems for the Special Functions of Mathematical Physics.
3rd edition, Springer-Verlag, New York-Berlin.
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On the roots of the Bessel and certain related functions.
Ann. of Math. 9 (1-6), pp. 23–30.
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A -analog of hypergeometric series well-poised in and invariant -functions.
Adv. in Math. 58 (1), pp. 1–60.
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New sharp bounds for gamma and digamma functions.
An. Ştiinţ. Univ. Al. I. Cuza Iaşi. Mat. (N.S.) 57 (1), pp. 57–60.
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19: Bibliography Y
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On rational solutions of the second Painlevé equation.
Vesti Akad. Navuk. BSSR Ser. Fiz. Tkh. Nauk. 3, pp. 30–35 (Russian).
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Partitions with difference conditions and Alder’s conjecture.
Proc. Natl. Acad. Sci. USA 101 (47), pp. 16417–16418.
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20: Bibliography D
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Note on the addition theorem of parabolic cylinder functions.
J. Indian Math. Soc. (N. S.) 4, pp. 29–30.
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Sums of products of Bernoulli numbers.
J. Number Theory 60 (1), pp. 23–41.
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Orthogonal polynomials and the construction of piecewise polynomial smooth wavelets.
SIAM J. Math. Anal. 30 (5), pp. 1029–1056.
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