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21—30 of 115 matching pages
21: Karl Dilcher
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►Over the years he authored or coauthored numerous papers on Bernoulli numbers and related topics, and he maintains a large on-line bibliography on the subject.
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22: Bibliography M
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Hypergeometric Functions.
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On the evaluation of the integral over the product of two spherical Bessel functions.
J. Math. Phys. 32 (3), pp. 642–648.
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23: 1.1 Special Notation
24: 27.1 Special Notation
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positive integers (unless otherwise indicated). | |
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, | sum, product taken over divisors of . |
sum taken over , and relatively prime to . | |
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, | sum, product extended over all primes. |
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25: Need Help?
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Finding Things
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How do I search within DLMF? See Guide to Searching the DLMF.
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Links to definitions, keywords, annotations and other interesting information can be found in the Info boxes by clicking or hovering the mouse over the icon next to each formula, table, figure, and section heading.
26: 11.12 Physical Applications
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►Applications of Struve functions occur in water-wave and surface-wave problems (Hirata (1975) and Ahmadi and Widnall (1985)), unsteady aerodynamics (Shaw (1985) and Wehausen and Laitone (1960)), distribution of fluid pressure over a vibrating disk (McLachlan (1934)), resistive MHD instability theory (Paris and Sy (1983)), and optical diffraction (Levine and Schwinger (1948)).
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27: 15.18 Physical Applications
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►The hypergeometric function has allowed the development of “solvable” models for one-dimensional quantum scattering through and over barriers (Eckart (1930), Bhattacharjie and Sudarshan (1962)), and generalized to include position-dependent effective masses (Dekar et al. (1999)).
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28: 19.38 Approximations
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►They are valid over parts of the complex and planes.
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29: Bonita V. Saunders
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►As the principal developer of graphics for the DLMF, she has collaborated with other NIST mathematicians, computer scientists, and student interns to produce informative graphs and dynamic interactive visualizations of elementary and higher mathematical functions over both simply and multiply connected domains.
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30: Bibliography V
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Integrating products of Bessel functions with an additional exponential or rational factor.
Comput. Phys. Comm. 178 (8), pp. 578–590.
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